Answer:
-3 and 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]x^2-2x-4=-2x+5\\ \\ x^2-9\\ \\ (x+3)(x-3)[/tex]
A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?
Answer:
[tex]area=\frac{85}{4}feet^{2}[/tex]
Step-by-step explanation:
1. Approach
Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.
2. Solve for the width
It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.
[tex]perimeter=18\frac{1}{2}\\\\length=5[/tex]
[tex]2(length+width)=perimeter[/tex]
Substitute,
[tex]2(5+width)=18\frac{1}{2}[/tex]
Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.
[tex]2(5+width)=\frac{37}{2}[/tex]
Inverse operations,
[tex]2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}[/tex]
3. Solve for the area
Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).
[tex]length=5\\\\width = \frac{17}{4}[/tex]
[tex]length*width=area[/tex]
Substitute,
[tex]5*\frac{17}{4}\\\\=\frac{85}{4}[/tex]
[tex]area=\frac{85}{4}feet^{2}[/tex]
The area (A) of a rectangle varies jointly as the length (l) and the width (w), and whose A = 60 sq. cm when l = 4 cm and w = 3 cm. What is the area of rectangle if the length is 6 cm and whose width is 3 cm?
Answer:
The area is 90 sq. cm
Step-by-step explanation:
Given
The variation can be represented as:
[tex]A\ \alpha\ l * w[/tex]
Area = 60, when l = 4 and w = 3
Required
Find Area, when l = 6 and w = 3
Represent the variation as an equation
[tex]A = k(l * w)[/tex]
Where k is the constant of variation.
Substitute 60 for A, 4 for l and 3 for w
[tex]60 = k * (4 * 3)[/tex]
[tex]60 = k * 12[/tex]
Make k the subject
[tex]\frac{60}{12} = k[/tex]
[tex]5=k[/tex]
[tex]k=5[/tex]
To get the value of Area when l = 6 and w = 3.
Substitute 5 for k, 6 for l and 3 for w in [tex]A = k(l * w)[/tex]
[tex]A = 5 * 6 * 3[/tex]
[tex]A = 90[/tex]
The area is 90 sq. cm
i put jericho but it’s wrong so i’m not sure
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Explanation:
This is because the value -16 is closest to 0, which represents sea level.
I recommend drawing out a vertical number line. Positive numbers are above 0, to indicate elevations above sea level. Negative numbers represent elevations below sea level.
The diagram is shown below. The diagram is not to scale because the red tickmarks shouldn't be equally spaced out; however, the order is correct, and that's all we need to worry about.
Note how -16 is the highest of the four choices, which makes it the closest to sea level. Also note how as you move further down, the negative values get larger in absolute value. It might be helpful to think of a thermometer.
the sales tax rate in new york city is 8.9%. Find the tax charged on a purchase of $208, and the total cost
Answer:
$18.51 tax
$226.51 total cost
Step-by-step explanation:
208 x 0.089 = 18.51 tax
238% of what number is 47,600?
Answer:
I think 200
Step-by-step explanation:
47600/238=200
200*238=47600
Answer:
the answer is actually 20000
Step-by-step explanation:
238% x =47,600
2.38x=47,600
47,600/2.38= 20000
Definition: This is a number whose value we are trying to figure out. It is often represented by a letter or
some other symbol.
Answer:
deed
Step-by-step explanation:
Help plz I don’t know the answer!!
Answer:201 11/21
Step-by-step explanation:
The number 4232 is called the numerator or dividend, and the number 21 is called the denominator or divisor.
The quotient of 4232 and 21, the ratio of 4232 and 21, as well as the fraction of 4232 and 21 all mean (almost) the same:
4232 divided by 21, often written as 4232/21.
Read on to find the result of 4232 divided by 21 in decimal notation, along with its properties.We provide you with the result of the division 4232 by 21 straightaway:
4232 divided by 21 = 201.523809
The result of 4232/21 is a non-terminating, repeating decimal. The repeating pattern above, 523809, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 4232/21 = 201.(523809): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 4232 / 21 = 201.523809… .
4232 divided by 21 in decimal = 201.523809
4232 divided by 21 in fraction = 4232/21
4232 divided by 21 in percentage = 20152.38095238%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 4232 and 21, of course. Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 4232, and the denominator, e.g. 21, have been inserted. No need to press the button, unless you want to start over.
Classify the following polynomials by the number of terms and degrees
-2x^3 +5x
Answer:
A third degree binomial
Step-by-step explanation:
The highest power is 3 hence the 3rd degree
and there are 2 terms hence the bi-nomial
A puddle originally contained 7.5 gallons of water. After a hot day, only 6 gallons of water remain. What is the percent decrease? Enter your answer in the box.
Answer:
20 percent
Step-by-step explanation:
7.5 gallons - 6 gallons = 1.5 gallons
[tex]\frac{1.5}{7.5}[/tex] × 100 = 0.2 × 100 = 20 %
Answer:
20%
Step-by-step explanation:
First, find how much decrease there was: 7.5 - 6 = 1.5
This means the decrease was 1.5/7.5. To convert this to percentage, divide 1.5 by 7.5:
1.5 ÷ 7.5 = 0.20
0.20 = 20% decrease
During a cross-country road trip, Nathan predicts that he will average 22.6 miles per gallon.
During the trip, he drives 2,882 miles and uses 131 gallons of gas. Calculate his percent error,
rounded to the nearest whole percent.
3%
6%
13%
22%
Answer:
22
Step-by-step explanation:
If two angles of a triangle have measures of 42° and 20°, what is the measure of the third? A. 118° B. 98° C. 108° D. 128°
Answer: The text also states, “And her friends told her afterwards that she had spoken in a very loud voice, not shouting, just a very loud voice” (p.2). This proves that Celeste took a risk standing up to the teacher in a firm voice; her actions show that she believed the risk of getting in trouble was worth it to stop the Teacher’s unfair punishment.
Step-by-step explanation:
Please help me with this, I have to turn it in today and I’ll give Brainly. please only answer if you know the answer...this is very important
The arcs on the Golden Gate Bridge.
I think about the Golden Gate Bridge, which is a suspension bridge.
As in any suspension bridge, a long cable is supported by two large supports.
The cable falls from support, in the form of a curve concave upwards, to a minimum point that is the vertex of the parabola, through which the axis of symmetry passes, and curves again upwards to ascend to the upper end of the other support.
As a unique feature of this parabolic arc, you can tell that the concavity is upward; the parabola opens upward.
Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.
The symmetry is clear because the curve to the left of the vertex is a mirror image of the curve to the right of the vertex. Hope I helped, have a good day!
For which equation is x=5 a solution?
2+x=3
2 plus x is equal to 3
3x=15
3 x is equal to 15
x2=10
, x over 2, is equal to 10
x−7=12
x minus 7 is equal to 12
Equation: w = 112 + 8t Which input results in an output of 176? What is the output in the ordered pair (4, 144)?
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Answer:
8144Step-by-step explanation:
Generally, the single variable on the left side of the equation is the "output" or dependent variable, while any other variables on the right side of the equation are considered to be independent variables, or "input."
So, we assume your first question is asking for the value of t that makes w=176. Put the values in the equation and solve for the unknown.
w = 112 +8t
176 = 112 + 8t
64 = 8t . . . . . . . subtract 112
8 = t . . . . . . . . . divide by 8
The input for an output of 176 is 8.
__
Ordered pairs are always written as ...
(input, output)
So, (4, 144) means the output is 144 for an input of 4.
Answer:
8
144
Step-by-step explanation:
How much is 78 divided by 4 ?
Answer:
19.5 my bro!
Step-by-step explanation:
Answer:
19.5 just put it in the calculator
The number of country A forces in country B decreased to approximately 34,000 in 2014 from a high of about 100,000 in 2008. The amount of country A funding for country B security forces also decreased during this period. The function f (x) = -1.330x + 5.149x +5.517 can be used to estimate the amount of country A funding for country B security forces, in billions of dollars, x years after January 2007. In what year was the amount of country A funding for country B security forces about $ 10.5 billion?
Answer:
2009
Step-by-step explanation:
The question can be interpreted as:
[tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]
Required
Determine x when f(x) = 10.5
Substitute 10.5 for f(x) in [tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]
[tex]10.5 = -1.330x^2 + 5.149x + 5.517[/tex]
Collect Like Terms
[tex]-1.330x^2 + 5.149x + 5.517-10.5=0[/tex]
[tex]-1.330x^2 + 5.149x -4.983=0[/tex]
Using quadratic formula
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -1.330[/tex]
[tex]b = 5.149[/tex]
[tex]c = -4.983[/tex]
[tex]x = \frac{-5.149 \± \sqrt{5.149^2 - 4*-1.330*-4.983}}{2*-1.330}[/tex]
[tex]x = \frac{-5.149 \± \sqrt{0.002641}}{-2.660}[/tex]
[tex]x = \frac{-5.149 \± 0.0514}{-2.660}[/tex]
Split:
[tex]x = \frac{-5.149 + 0.0514}{-2.660}\ or\ x = \frac{-5.149 - 0.0514}{-2.660}[/tex]
[tex]x = \frac{-5.0976}{-2.660}\ or\ x = \frac{-5.2004}{-2.660}[/tex]
[tex]x = 1.92\ or\ x = 1.96[/tex]
Both values of x approximates to 2.
So:
[tex]x = 2[/tex]
2 years after 2007 is 2009.
Hence, the funding is about $10.5 billion in 2009
How many 3/4 inch pieces can be cut from a ribbon that is 7 1/2 inches in length?
Answer:
10 pieces
Step-by-step explanation:
7 1/2 / 3/4 =
7.5 / .75 =
10 pieces
Hope that helps!
pls help pls pls pls help
pls help him Step-by-step explanation:
I have to find the domains of these functions and write the answer in interval notation.
Answer: 2,5
Step-by-step explanation:
In order to find the domain of a function, check the function for two conditions:
a zero in a denominator
a negative under an even root
Exclude the values at which the function satisfies either or both of these conditions from its domain.
G(x) has no root but it does have a denominator. Therefore, check the first condition by setting the denominator equal to zero and excluding those solutions from the domain.
x2 - 7x + 10 = 0
(x - 2)(x - 5) = 0
x = 2, 5
The midpoint of AB is M (4,-2) . If the coordinates of A are (3,-6) , what are the coordinates of B
Answer:
The coordinates of B are (5,2).
Step-by-step explanation:
Given that,
The midpoint of AB is M (4,-2).
The coordinates of A are (3,-6)
We need to find the coordinates of B. Let the coordinates of B are (x,y).
The mid point is given by :
[tex]M=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\\\\(4,-2)=(\dfrac{3+x}{2},\dfrac{y-6}{2})\\\\\dfrac{3+x}{2}=4\ \text{and}\ \dfrac{y-6}{2}=-2\\\\3+x=8\ \text{and}\ y-6=-4\\\\x=5,y=2[/tex]
So, the coordinates of B are (5,2).
4. What's the least common multiple of each group of numbers?
a. 5 and 6
b. 2 and 9
C. 6 and 8
d. 2,5, and 6
Answer:
5 and 6: 30
2 and 9: 18
6 and 8: 48
2, 5, and 6: 30
3
:) A plane has 14 First Class seats, 70 Premium seats and 168 Economy seats
Find the ratio First Class seats : Premium seats : Economy seats.
Give your answer in its simplest form.
2
Answer:
70-14=56 168-56=112
Step-by-step explanation:
An example of an irrational number is
O A. V16
B. V25
C V36
O D. V47
Answer:
i think b is the answer
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
from what I gathered, the V is supposed to be a square root. if this is the case, then D is the only answer that does not produce a rational number. V16 is equal to 4, V25 is equal to 5, and V36 is equal to 6.
Select the correct answer.
Which function has an inverse function?
OA. F(x) = |x-4|+ 1
OB. F(x) = 25x^2+70x+49
OC. F(x) = x^4
OD. F(x) = x+3/7
In the given functions, the function f(x) = x+3/7 is a inverse function.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function should be bijective function ( one-to-one and onto) to be a inverse function.
f(x)=|x-4|+1
It is absolute function. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [1,∞)
So the function f(x)=|x-4|+1 is not inverse.
f(x) = 25x²+70x+49
It is quadratic function. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [0,∞)
So the function f(x) = 25x²+70x+49 is not inverse.
f(x) =x⁴
It is polynomial function with even degree. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [0,∞)
F(x) = x+3/7
It is linear function. one-to-one and onto
Domain: All real (-∞,∞)
Range: All real (-∞,∞)
F(x) = x+3/7 is a inverse function.
Hence, in the given functions, the function f(x) = x+3/7 is a inverse function.
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An electronics retailer is developing a model for insurance on new cell phone purchases. It estimates that 60% of customers never make a claim25% require a small repair costing an average of $50and 15% require a full refund costing $200. What is the average cost the retailer should expect to pay to each customer?
Answer:
$42.50
Step-by-step explanation:
$42.50 will cover the costs of all people who request full refunds, while still allowing the company to profit.
The average cost the retailer should expect to pay to each customer if It estimates that 60% of customers never make a claim is $4250.
What is average?The average is a numeric figure that represents a big amount of data in a single way. The average mark of the class is calculated by averaging the students' grades in a given subject.
It is more important to understand how the class as a whole performed than how each individual student performed.
Given:
It estimates that 60% of customers never make a claim, 25% require a small repair costing an average of $50 and 15% require a full refund costing $200,
Calculate the average cost as shown below,
Assume there are 100 customers, then,
The average cost = 25% of 100 × 50 + 15% of 100 × 200
The average cost = 25 × 50 + 15 × 200
The average cost = 1250 + 3000
The average cost = 4250
Thus, the average cost the retailer should expect to pay to each customer is $4250.
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When the radius of a sphene is doubled what is the resulting change in volume?
Answer:
3rd power
Step-by-step explanation:
When the radius of the sphere was doubled it doubled 8 times . it raised so much because of the third power.
Glad I could help (Maybe)
By stips please ........
Answer:
6x + 3h
Step-by-step explanation:
F(X) = 3x^2
F(X+h) = 3(X+h)^2
then F(X+h) - F(X) / h
= 3(X+h)^2 - 3x^2 / h
= 3(x^2 + 2hx + h^2) - 3x^2 / h
= 3x^2 + 6hx +3h^2 - 3x^2 / h
= 6hx + 3h^2 / h
= h (6x +3h) / h
= 6x + 3h
I hope this answer is correct
please help, I'll give the correct answer brainliest.
find c and d. show your work.
9514 1404 393
Answer:
c = 6√2
d = 12
Step-by-step explanation:
The sides of any isosceles triangle (opposite the congruent angles) are congruent. Hence c = 6√2.
The hypotenuse of an isosceles right triangle is √2 times the side length, so ...
d = c√2 = (6√2)(√2) = 6·2
d = 12
__
If you don't believe that, you can always use the Pythagorean theorem to find d:
d^2 = (6√2)^2 +c^2
d^2 = 72 +72 . . . . . . . . . since c=6√2
d = √144
d = 12
1. If a house cost $200,000 in Las Vegas in 2012 and there was a 20.7% increase in houses from 2012 to 2013, what is the price of the house in 2013.?
Answer:
$241,400
Step-by-step explanation:
House costs: $200,000
Percentage increase: 20.7%
This means that the cost of the house increased by that percentage from 2012 to 2013. Therefore the following,
200,000 x 20.7/100 = 41,400
So the value of the house increased by $41,400 in this year.
Now we add to evaluate the total price of the house in 2013.
200,000 + 41,400 = 241,400
House price: $241,400
Calculate the value of x
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation: