man travels 60 miles to work at an average speed of 40mph. He travels home the same route at an average speed of 60mph. What is the average speed of his round trip

Answers

Answer 1

Answer:1881 6040mph 18x


Related Questions

What is the simplified form of StartRoot 144 x Superscript 36 Baseline EndRoot?

Answers

The simplified form of expression is, 12x⁶.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ √144 x³⁶

Now, By the property of square root;

⇒ √ ab = √a × √b

We get;

⇒ √144 x³⁶ = √144 × √x³⁶

And, By using the exponent property, we get;

⇒ xᵃᵇ = xᵃ × xᵇ

So, We get;

⇒ √144 x³⁶ = √144 × √x³⁶

                  = √144 × √x⁶ × √x⁶

                  = √12×12 × √x⁶ × √x⁶

                  = 12 × x⁶

                  = 12x⁶

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Which statement about the order of operations is TRUE?

Complete all subtraction operations before addition.
Simplify operations within the innermost grouping symbols first.
Complete all division operations before multiplication.
Simplify exponents before operations in grouping symbols.

Answers

Answer: “Simplify operations within the innermost grouping symbols first.”

This is the very first step in the Order of Operations, which makes this a true statement. All other answer choices are false because addition and subtraction come after multiplication and division, but you must work left to right as to whichever operation comes first. So, addition does not come before subtraction and likewise; simplify whichever comes first, but they do come after multiplication and division.

How many 1/3 ounce cups can be taken

Answers

Answer:

90

Step-by-step explanation:

If we know that for every cup, we can take 3 of 1/3-ounce cups, we can use an equation that looks like this:

number of cups × 3 = total 1/3-ounce cups

If there are 30 cups, then we can simply insert 30 into the equation.

30 × 3 = 90

Therefore, you can make 90 1/3-ounce cups from the cereal box.

Which of the following statements are true? (select more than one answer)

Answers

Answer:

➜ ∠4 = ∠2

➜ ∠2 + ∠3 = 180°

➜ ∠1 = ∠3

Step-by-step explanation:

     We can use vertical angles to prove the first statement true, ∠4 = ∠2.

     Next, ∠2 and ∠3 are supplementary angles, so if you add them together you will get 180 degrees. This statement is also true.

       Then, ∠1 and ∠2 are not complimentary angles. This statement is false.

       Lastly, we can use the same reasoning of the first one to prove this statement true as well. They are vertical angles, ∠1 = ∠3.

what are the domain and range of the function f(x)=2^x+1

Answers

Answer: The domain is all values of x that make the expression defined. The range is the set of all valid y values

Step-by-step explanation:

Therefore , the solution of the given problem of function comes out to be Domain: (-∞, ∞) and   Range: (0,∞).

What is function?

Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.

Here,

Given :  f(x)=[tex]2^{x}[/tex]+1

If a value has not been added, an exponential function's curve normally approaches a horizontal asymptote at y=0 or the x-axis. The curve changes if it has.

The asymptote is unaffected by this function's addition on the exponent because it does not apply to the entire function.

The values of its y-axis remain between 0 and. This is the set of y values, or the range.

However, depending on the leading coefficient, the range of exponentials can vary. If the value is negative, the graph turns inside-out and the range reaches -. It's also lacking in this.

The exponent's addition to 1 moves the function to the left without changing the range.

The x values in exponential functions are often unaffected and all are taken into account in the function. The domain stays the same even while it changes. Its range is (0,∞)

 Range: (0,∞)

Therefore , the solution of the given problem of function comes out to be

Domain: (-∞, ∞) and   Range: (0,∞).

To know more about function , visit

brainly.com/question/13461298

#SPJ1

help me, please. I can't figure out if this is zero or infinite??

Answers

Answer:

it doesn't have any solutions bc the lines are parallel and don't share any points in common. hope this helps!

What is the circumference of a circle with sector area 9π and arc measure 90 degrees?

Answers

By using the area of circle formula, the solution of the given problem of circle comes out to be 6 + π cm

Describe the circle.

Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.

Here,

A 9 Pi square centimeter circle's sector has a 60 degree center angle. The sector's exterior border is

Circle area is equal to. πR² = 9π

Circumference =2πR

=> 2π*3 = 6π cm

Arc length equals (60/360)*6 to cm

Arc's perimeter is calculated as follows: Radius + Length of Arc + Radius = π +3 + 3 = 6 +  π cm

Therefore , the solution of the given problem of circle comes out to be

6 + π cm.

To know more about circle visit :-

brainly.com/question/29142813

#SPJ4

By using the area of circle formula and circumference of a circle formula, the solution of the given problem of circle comes out to be 12π cm

Describe the circle.

Every location in the plane of a circle is equally separated from the center and is a closed, as double object. Each line tracing the circle contributes to the formation of a line of reflection symmetry. Additionally, each angle has axis of symmetry around the center.

Here,

sector area of circle = 9π

arc measure = 90°

Area of sector  = (arc/360°)*πr²

⇒ 9π = (90°/360°)πr²

⇒ 9π = (1/4)πr²

⇒ 4*9π = πr²

⇒ 36 = r²

⇒ 6² = r²

r = 6

and Circumference of circle = 2πr

=> 2π*6 = 12π cm

Therefore , the solution of the given problem of circle comes out to be

12π cm.

To learn more about circle visit :

brainly.com/question/29142813

#SPJ4

Equivalent expression

Answers

The ladder touches the building at 4.53 meters right angle triangle vertical distance from the ground.

What is right-angled triangle?

The triangle that has one 90 degrees angle is called right-angled triangle. The Pythagorean theorem is applicable for right-angled triangle.

What is the height of the point where the ladder touches the building A ladder leans up against a building at an angle of 65 degrees with the ground. the length of ladder = 5 meters

we understand that the ladder, building and ground together formed a right-angled triangle. The right angle is in between the building and ground. The length of ladder acts as a hypotenuse of this triangle. If we consider the angle 65 degrees,

then sin 65° = opposite side length / hypotenuse here, opposite side length = the required length we need to determine sin 65° × hypotenuse = opposite side opposite side = 0.9063 × 5 =4.53 meters

the ladder touches the build at 4.53 meters vertical distance from the ground.

To learn more about right angle triangle visit:

brainly.com/question/3772264

#SPJ1

pleasee helpp !! <33

Answers

Answer is
8x 9x 11 and 16x
in the first boxes and
33x + 11 in the second box

Step by step

Perimeter is adding all four sides. Put each number in a box. Add them together for the second box.
Notice one side (11) does NOT have an “x” so it cannot combine for the second answer of 33x + 11.
You can combine like terms of “x” but you can’t combine the unlike term of 11.

find the probability that a point chose a t random on the part of the number line shown will lie between points B and C. (anwser should be in a fraction or decimal)

Answers

The probability of point being in between B and C is 0.167

A probability definition is what?

Probability is a statistic used to indicate the likelihood or potential that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.

What are examples and probability?

The likelihood is based on the range of potential outcomes. the total number of possible outcomes. As an illustration, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head.

Distance between B and C= 4 units

Total distance=24

Probability that point lie between B and C = 4/24 =1/6

To know more about probability visit:-

brainly.com/question/30034780

#SPJ1

What does an inverse function look like?

Answers

Inverse functions are indicated by the symbol [tex]f^{-1}[/tex] and are functions whose inverse is the function itself (x).

A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function. The inverse function, which also returns the beginning value, returns the result of a function.

The relationship that results from swapping out an independent variable for a variable that depends on a given equation, and which may or may not be a function. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x.

To learn more about Inverse here:

https://brainly.com/question/2541698

#SPJ4

What linear equation means?

Answers

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1 or 0. A linear equation is an algebraic equation. If an equation has the formula y=mx+b, with m representing the slope and b the y-intercept, it is said to be linear.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

You can learn more about linear equation at

https://brainly.com/question/2030026

#SPJ4

SA triangle has side lengths of 11, 60, and 61. When using the converse of the Pythagorean theorem to determine if this is a right triangle, what is the value of c in the formula a² +b²=c²?
61
11
11²
60

Answers

Value of c is determined 61 unit.

What is right-angled triangle?

Triangle that has one angle 90 degree is called right-angled. In case of a right triangle the square of the largest side length is equal of the sum of the square of the other two side length.

what is the value of c in the above formula?

SA triangle has three side length 11-unit, 60 unit and 61 unit respectively.

The triangle is verified as a right-angled triangle by Pythagorean theorem.

And as the properties of a Pythagorean theorem the sum of the square of two side length is equal to the square of the largest side length.

if we say, one side length, a = 11 unit

             second side length, b = 60 unit

    the largest side length, c

now we will check,  

√(11²+60²) = c² =√3721 = 61

the value of c = 61 unit.

hence, the SA is right-angled triangle.

To know more about right-angled triangle visit:

https://brainly.com/question/29285631

#SPJ1

help help help help help help

Answers

The equation point slope is y - y1 = m(x - x1)

we got y - (-16)=3(x-7)

what is meant by point of slope?Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-interceptThe slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept pointA simple definition of point-slope form is an equation of a line written using one point on the line and the slope of the line. The point form is written as (x,y) and the slope is the rise over run, or the ratio of the change in the y values over the change in the x valuesThe slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

To learn more about point of slope refers to:

brainly.com/question/25477817

#SPJ1

What is a 3 degree equation called?

Answers

A three-degree equation is referred to as a cubic equation. The polynomials are referred to as cubic polynomials if they have a degree of three.

what is cubic equation ?

A three-degree equation is referred to as a cubic equation. All cubic equations have roots that are either three real roots or one real root and two imaginary roots. The polynomials are referred to as cubic polynomials if they have a degree of three. The opposite of cubing an integer is finding the cube root of that number. It can be determined by first determining how the given integer can be divided into prime factors, and then by using the cube root formula.

given

A three-degree equation is referred to as a cubic equation.

All cubic equations have roots that are either three real roots or one real root and two imaginary roots.

The polynomials are referred to as cubic polynomials if they have a degree of three.

To know more about cubic equation visit :-

https://brainly.com/question/13730904

#SPJ4

A laboratory uses liquid nitrogen tanks of two different sizes. The combined volume of 3 large tanks and 2 small tanks is 24 liters. The combined volume of 2 large tanks and 3 small tanks is 21 liters. What is the volume of each size of tank? JUSTIFY YOUR ANSWER.

Answers

The size of the large tank is 6 liters and the size of the small tank is 3 liters.

What is the size of each type of tank?

The first step is to form a system of equations using the information provided in the question:

3l + 2s = 24 equation 1

2l + 3s = 21 equation 2

Where:

l = volume of the large tank s = volume of the small tank

The elimination method would be used to solve the equations:

Multiply equation 1 by 2 and equation 2 by 3:

6l + 4s = 48 equation 3

6l + 9s = 63 equation 4

Subtract equation 3 from equation 4:

5s = 15

Divide both sides of the equation by 5

s = 15 / 5

s = 3 liters

Substitute for s in equation 1 :

3l + 2(3) = 24

3l + 6 = 24

3l = 24 -  6

3l = 18

l = 18 / 3

l = 6

To learn more about system of equations, please check: https://brainly.com/question/12129107

#SPJ1

i need help fr fr like my mind honestly went blank

Answers

Answer:

894 mi²

Step-by-step explanation:

the area of parallelogram= base x height= 24mi x 37.25mi = 894 mi²

How is rotation and dilation similar?

Answers

Rotation is the process of turning a figure a specific amount around a point. When we dilate a figure, we increase or decrease its size.

The circular movement of an item about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are many conceivable central axes and rotating orientations for a three-dimensional object.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.

On a coordinate plane, forms can be rotated and dilated in addition to translated and reflected. When a shape is rotated, the new shape is consistent with the old. When you dilate a shape, the resulting shape is similar to the original.

For more questions on rotation and dilation

https://brainly.com/question/28558697

#SPJ4

Abraham ran 3.18 miles on Monday. On Tuesday, he ran 1.6 times further than he did on Monday. How many more miles did he run on Tuesday than on Monday?

Answers

1.908 miles Abraham run on Tuesday than on Monday.

How miles more miles he run on Tuesday than on Monday?

Step 1

Monday he run 3.18 miles

Tuesday he run 1.6 times than Monday

how many more miles miles he run?

Step 2

3.18*(1.6-1)

1.6-1 is 1.6 times further than he did on Monday

Step3

3.18*(1.6-1)

=3.18*0.6

=1.908

he run on Tuesday than on Monday is 1.908

To learn more about Arithmetic refers to;

brainly.com/question/9661455

#SPJ1

Abraham ran 1.908 more miles on Tuesday than it was on Monday, based on the information provided.

Why is math referred to as arithmetic?

The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (which is derived from the Greek word "arithmos," "number") (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

First, he ran 3.18 miles on Monday.

He ran 1.6 times more on Tuesday than on Monday.

how many kilometers did he run in total?

Step 2\s3.18*(1.6-1) (1.6-1)

One and a half times closer than he was on Monday at 1.6-1

Step3\s3.18*(1.6-1)\s=3.18*0.6\s=1.908

He ran 2.908 more on Tuesday than it does on Monday.

To learn more about Arithmetic refers to:

https://brainly.com/question/11559160

#SPJ1

What is the pattern?

Answers

Divide by 2 then add 100, so we have 160->180, and x->500, subtract 100, multiply by 2, so 800 = x

When Bruce got his first job, he put $6,225 of his earnings into an investment account to save for retirement. The value of the account is predicted to double each decade.
Write an exponential equation in the form y=a(b)x that can model the predicted value of Bruce's investment account, y, x decades after starting the account.
Use whole numbers, decimals, or simplified fractions for the values of a and b

Answers

y = 6225 * 2^x
This equation uses the initial value of the account (6225) and the base of the exponent (2) representing the account will double in value every decade

The exponential function to model the predicted value of Bruce's investment account is

y = 6225 * 2^x.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

here, we have,

we know that,

An exponential function is written in the form - y=a*(b)^x

Here, y is the function, a is the base value b is the rate and x is time period.

now, we have,

from the given information, we get,

This equation uses the initial value of the account (6225)

and the base of the exponent (2) representing the account will double in value every decade.

if, we have,

the predicted value of Bruce's investment account is y.

time period is, x decades after starting the account.

So, the exponential equation will be -

y = 6225 * 2^x.

Therefore, the exponential equation is .

y = 6225 * 2^x.

To learn more about exponential function from the given link

brainly.com/question/12626186

#SPJ2

What are 3 examples of perfect squares?

Answers

Three examples of perfect squares is 1) 9, as it is equal to 3 x 3.2) 16, as it is equal to 4 x 4.3) 25, as it is equal to 5 x 5.

What is perfect squares?

Perfect squares are numbers that can be expressed as the product of two equal integers, such as 4, 9, and 16. These numbers can be written as the square of a single number, such as 2² = 4, 3² = 9, and 4² = 16. Perfect squares are also known as whole squares, and they provide an easy way to find the square root of a number.

Perfect squares are numbers that are the result of multiplying a number by itself. For instance, 4 is a perfect square because it is equal to 2 x 2.

Similarly, 9 is a perfect square because it is equal to 3 x 3. Perfect squares can be easily identified by their square root, which is the number that can be multiplied by itself to produce the perfect square.

For example, the square root of 16 is 4, since 4 x 4 = 16.

To know more about perfect squares click-
https://brainly.com/question/27307830

#SPJ4

For how many integer values of $n$ between 1 and 349 inclusive does the decimal representation of $\frac{n}{350}$ terminate

Answers

The decimal form of n/350 terminates after 49 integer values of n between 1 and 349 inclusive.

What is prime factorization?

The technique of expressing all numbers as a product of primes is known as prime factorization. As an example, suppose we have the number 20. We may divide this into two categories. "Well, that's 4 times 5," we may remark. Also, 5 is a prime number. The number four is not a prime number. All numbers are made up of prime numbers. "Factors" are numbers that are multiplied to generate another number. As an example. "Prime factorization" is the process of determining which prime numbers multiply to produce the original number.

Here,

first, find the prime factorization of 350. (2*5^2*7)

then we need to find all multiples of 7 that are between 1 and 350.

the first multiple of 7/350.

The first multiple of 7 between 1 and 350 is 7.

so 7/350=0.02.

Then, drop the two zeros and find out what is 100% (1 whole, ignoring the percent) /2.

Then, we get 49.

49 integer values of n between 1 and 349 inclusive does the decimal representation of n/350 terminate.

To know more about prime factorization,

https://brainly.com/question/29775157

#SPJ4

find the missing angle

Answers

Answer:

Step-by-step explanation:

180-120=60

60+50=110

180-110=70

the missing angle is 70 degrees

Determine whether the lines tangent to the curve at the x-intercepts of the curve are parallel. Show the analysis that leads to your conclusion.

Answers

For the curve [tex]x^{2} +xy+y^{2} = 27[/tex] , the line tangents to the curve at the x intercepts of the curve are parallel .

The Slope of tangent line to a function at any point is denoted by [tex]\frac{dy}{dx}[/tex] .

The Curve is given as ⇒[tex]x^{2} +xy+y^{2} = 27[/tex] ;

On differentiating both sides of the curve with respect to "x"  ,

we get ;

the slope of the line as ⇒ [tex]Slope = \frac{dy}{dx} = -\frac{2x+y}{x+2y}[/tex] ;

Now for the  x- intercepts , the value [tex]y = 0 ,[/tex]

On substituting [tex]y=0[/tex] in the curve [tex]x^{2} +xy+y^{2} = 27[/tex] ,

we get ;

[tex]x^{2} +x(0)+0^{2} =27[/tex]

On simplifying further ,

we get ;

[tex]x=\pm 3\sqrt{3}[/tex] ;

So , the two x intercepts of the curve are [tex](3\sqrt{3},0)[/tex] and [tex](-3\sqrt{3},0)[/tex] ;

to find the slopes , we substitute the values in the slope equation .

On substituting the values in the slope equation ,

we get ;

[tex]Slope_{(3\sqrt{3} ,0)} = -\frac{2(3\sqrt{3}) +9}{3\sqrt{3} +2(0)}[/tex] = [tex]-2[/tex]  and

[tex]Slope_{(-3\sqrt{3} ,0)} = -\frac{2(-3\sqrt{3}) +9}{-3\sqrt{3} +2(0)}[/tex] = [tex]-2[/tex].

we see that the slope at both the intercepts is same ,

Therefore , the lines tangents of the curve at the x intercepts are parallel .

The given question is incomplete , the complete question is

Consider the curve defined by [tex]x^{2} +xy+y^{2} = 27[/tex] . Determine whether the lines tangent to the curve at the x - intercept of the curve are parallel .

Learn more about Tangent Line here

https://brainly.com/question/2253861

#SPJ4

If f(x) =x - 5 and g(x) = 2x + 3, find values for each of the following.
a. f(g(1)) =
b. g(f (2)) =
c. g(g(0)) =
d. (f 0 9) (-2) =
e. (g o f) (3) =
f. (f o f) (-1) =

Answers

When f(x) = x - 5 and g(x) = 2x + 3, the value of f(g(1)) is 0 and the value of g(f (2)) is -2.

what is function ?

Mathematics encompasses the study of numbers, formulas and related structures, shapes and the spaces in which they exist, quantities and their variations, and spaces in which they exist. A function is an association between a set of inputs, each of which has an output. Simply described, a function is a relationship between inputs and outputs, where each input results in a single, distinct output. Each function has a domain and a codomain, often known as a scope. Typically, the letter f is used to denote functions (x). is the input. There are four different categories of functions. one-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions

given

a) f(g(1)  

g(1) = 5  and f(g(1)) = 0

b) g(f (2))

f(2) = -3

g(f (2)) = -2

so When f(x) = x - 5 and g(x) = 2x + 3, the value of f(g(1)) is 0 and the value of g(f (2)) is -2.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

The figure below to the left is a graph of f(x), and below to the right is g(x).
The figure below to the left is a graph of f(x), a
(a) What is the average value of f(x) on 0≤x≤2? avg value = __________
(b) What is the average value of g(x) on 0≤x≤2? avg value = __________
(c) What is the average value of f(x)?g(x) on 0≤x≤2? avg value = _________
(d) Is the following statement true?
Average(f)?Average(g)=Average(f?g)
A. Yes
B. No

Answers

The average value of both f(x) and g(x) on 0≤x≤2 is 1/4. The average value of (f.g) on 0≤x≤2 is 0 and the statement avg(f) . avg(g) = avg(f . g) is false.

avg value of a function = 1/(b - a) ∫f(x) with limts a and b. Here a and b are the constraints under which the average has to be calculated.

a)

Hence average value of f(x) on 0≤x≤2

= 1/2 ∫f(x)  with 0 and 2 as intervals

Since integration is basically the area under the curve we get

avg of f(x) = 1/2[area under curve from 0 to 1 + Area under the curve from 1 to 2]

Since from 0 to 1, the figure is a triangle and beyond that a straight line we get

1/2[1/2 X 1 X 1 + 0]

= 1/4 sq units

b)

Similarly, the average value of g(x) on 0 ≤ x ≤ 2

1/2[area from 0 to 1 + area from 1 to 2]

= 1/2[0 + 1/2]

= 1/4 sq units


c) here we need to find the average of f(x) . g(x)

Here we see that f(x) is 0 from x = 1 to x = 1 while g(x) id 0 from x = 0 from x = 1

Hence we see that on multiplying the functions, the resultant has to be a 0 function.

Hence its average value will be 0.

d)

Average(f) . Average(g) = 1/4 X 1/4

= 1/16

Average of (f.g) = 0

Hence the statement is false

To learn more about the average function visit

https://brainly.com/question/14402983

#SPJ4

Complete Question

The figure attached to the left is a graph of f(x), and below to the right is g(x).

The figure below to the left is a graph of f(x), a

(a) What is the average value of f(x) on 0≤x≤2? avg value = __________

(b) What is the average value of g(x) on 0≤x≤2? avg value = __________

(c) What is the average value of f(x) . g(x) on 0≤x≤2? avg value = _________

(d) Is the following statement true?

Average(f) . Average(g)=Average(f.g)

A. Yes

B. No

How do you factor with 4 parts?

Answers

When a polynomial has four or more terms, the easiest way to factor it is to use grouping.

Grouping can be understand more better with an example:

for eg:  factor x^3 + x^2 – x – 1 by using grouping. Just follow these steps:

Break up the polynomial into sets of two. You can go with (x^3 + x^2) + (–x – 1). Put the plus sign between the sets, just like when you factor trinomials. The square x2 is the GCF of the first set, and –1 is the GCF of the second set. Factoring out both of them, you get x^2(x + 1) – 1(x + 1).one can Factor again as many times as you can. The two terms you’ve created have a GCF of (x + 1). When factored out, you get (x + 1)(x^2 – 1).

However, x^2 – 1 is a difference of squares and factors again as (x+1)(x-1). This gives you a final factorization of: (x + 1)(x + 1)(x – 1), or (x + 1)2(x – 1).

Learn more about factorization at:

https://brainly.com/question/25829061

#SPJ1

Maria had lunch at a restaurant. If the bill was $12.25 and Maria wants to leave a 20% tip, what is a reasonable estimate for the amount she should leave for tip?

Please explain how you got the answer

Answers

Answer: $2.45

Step-by-step explanation:

An easy way to find the correct tip is to learn what 20% of 12.25 is

Let's convert the percentage to a decimal by moving the decimal point two spaces to the left. Now we have .2

.2 X 12.25 = 2.45

2.45 is 20% of 12.25

Points p and q are negative integers plotted on a number line. If |p| > |q|, which statement is true?
A. Point p is closer to 0 than point q, and to the right of point q.
B. Point p is closer to 0 than point q, and to the left of point q.
C. Point p is further from 0 than point q, and to the right of point q.
D. Point p is further from 0 than point q, and to the left of point q.

Answers

Point p is further from 0 than point q, and to the left of point q.

The correct option is D.

What is an absolute value?

The absolute value of a number is the distance value from zero without considering the sign of a number. It is also represented as |x|, where x is any number.

Given:

Points p and q are negative integers plotted on a number line.

And |p| > |q|.

That means,

The absolute value of p is greater than the absolute value of q.

|p| and |q| are the positive integers.

So, p < q.

So, the q is closer to zero.

And p is left to point q.

Therefore, the q is closer to zero and p is left to point q.

To learn more about the absolute value;

https://brainly.com/question/1301718

#SPJ1

Other Questions
running apps in which mode ensures that a poorly written app does not affect system stability? What is NOT true of chicken and beef production? * 1 point a. More than seven times as much grain is required to produce 1 kg of beef than 1 kg of poultry. b. More than 1 calorie of energy is needed to produce 1 calorie of beef or chicken. d. The energy content of 1 kg of beef is equal to the energy content of 1 kg of poultry. d. Grain fed poultry and cattle are both primary consumers. how did the physical environment of central asia impact on mongol tribes? Greece is primarily covered in ____________________. Because of this, Greeks developed into independent city-states, or _________. ______________ developed as a democracy, while ___________ developed as an oligarchy (rule by the few) with a dual ___________. These city-states united to defeat __________ and King Xerxes, but afterwards entered into the _____________________ War with one another. This war weakened Greece, and eventually the entire _______________ Peninsula was conquered by King ____________ of Macedon. His son, _________________, would conquer most of the world and create _____________________ culture. Pleaseeee will mark brainliest!! need ASAPPP 1.) what are the five reasons given for why latin american countries pushed for independence during the 19th century? 2.) How was latin american society structured? Who held the power? 5. CCC Patterns Look at the melting points for the metals in the fourth and fifth periods of theperiodic table in the figure. Describe the general pattern in the relationship between a metal'sposition in the table and its melting point. Please give two examples of verbal irony in the book Hatchet. (Include the page where it was found too) Which one of the following is not a way to grow a company's sales volume in the Internet segment in the Europe-Africa region? Deliver online orders for branded footwear within 2-3 business days instead of the standard 5-7 business days O Win sufficient celebrity endorsement contacts to achieve celebrity appeal ratings that are higher than the industry average in the Europe Africa region O Provide free shipping to online buyers O Offer branded footwear that has a higher Please help heres an image The number of dragons of Westeros rose by a shocking 15% this year if there were 300 dragons this year how many are there this year How to solve this problem in Chemistry? I am stuck Write the phrase as an expression.7 fewer than a number sAn expression is Cost is a major factor for consumers when purchasing health products. Please select the best answer from the choices provided. T F Mark this and return A tax rate on a building with a $530,000 taxable value is 4.5 mills per thousand dollars of assessed valuation. What is the annual tax liability True or false? The graph represents a function. 10,14,18,22,26 find the 12 term of the sequence Why do we use 1st and 3rd quadrant? If there are 10 fish in a tank 5 escaped 2 died.How many are left?Pls help Manicure sets at nails by Nina are marked up 47% from the cost of $8.36. What does a manicure set cost in Ninas store? 13. You can learn a great deal about how your own beliefs, assumptions, background, culture, and other influences affect how you _________ what others say and how you interact with them.