Answers
The values x = -1 and x = 7 are the real solutions of the given graph.
Finding the roots of a cubic graphical equationA cubic formula incorporating the nth roots, the four fundamental operations of arithmetic, and the four coefficients (radicals).
The required real roots for the function f(x) = 0 are the points where the given curve intersects the x-axis on the graph.
From the given graph, we can see that the real solution of the given graph are x = -1 and x = 7.
Learn more on cubic graph here: https://brainly.com/question/20333781
#SPJ1
Related Questions
Use synthetic division and the remainder Theorem to find the indicated function value.
f(x) = 5x³-13x² + 4x-2: f(2)
Answers
To find f(2) using synthetic division, we set up the synthetic division table with the coefficients of the polynomial:
What is synthetic division?Synthetic division is a shorthand method of dividing a polynomial by a linear factor of the form (x - a), where a is a constant. The method is used to simplify the long division process and is particularly useful for finding the roots of a polynomial.The basic idea behind synthetic division is to use the coefficients of the polynomial and the constant a to create a condensed division table that eliminates the need for writing out all the intermediate steps of the division process.2 │ 5 -13 4 -2
│ 10 -6 -2
└───────────
5 -3 -2 0
The last entry in the bottom row of the table gives the remainder of the division, which is f(2). Therefore, we have:
f(2) = 5(2)³ - 13(2)² + 4(2) - 2 = 40 - 52 + 8 - 2 = -6
So, the value of the function f(x) = 5x³-13x² + 4x-2 at x = 2 is f(2) = -6.
To know more about synthetic division , check out :
https://brainly.com/question/24662212
#SPJ1
Determine if the expression
−
�
3
10
+
7
�
−
10
c
3
+7c is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answers
The given expression is polynomial and degree of the polynomial is 2.
What is polynomials?
Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.
the expression -10c° – c + 3c²
So the given expression is a polynomial,
The highest degree of the polynomial will be 2
Hence The given expression is polynomial and degree of the polynomial is 2.
Learn more about polynomials, by the following link.
https://brainly.com/question/2833285
#SPJ1
find missing side lengths, leave your answers as radicals in simplest form
HELPP W THESE PROBLEMS
Answers
Answer:
u have to put lenght ×weight =volume
When given a set of cards lying face down that spell M, A, T, H, R, O, C, K, S, determine the probability of randomly drawing a vowel. one nineth two nineths one third three sixths
Answers
Answer:that is correct it is 2/9
Step-by-step explanation:
For the following right triangle, a= 6, b=4. Find the length of c. I don't understand
Answers
Answer:
[tex]c=2\sqrt{13[/tex]
Step-by-step explanation:
In a right triangle, to find the hypotenuse (c) you use Pythagoras theorem. Which is [tex]a^2+b^2=c^2[/tex]. Once we plug in our variables we get [tex]6^2+4^2=c^2[/tex], then we solve.
[tex]36+16=c^2[/tex]
[tex]52=c^2[/tex]
[tex]\sqrt{c^2} =\sqrt{52}[/tex]
[tex]c=\sqrt{52}[/tex]
If we simplify...
[tex]c=2\sqrt{13}[/tex]
Help me. Pls. Cuz. Am. Gonn. Die if I didn't solve this!!
Answers
Answer:
See the picture
Step-by-step explanation:
The 1 tells us where to start. This is our y-intercept. We start when x =0 and y =1. The y intercept is 1 (0,1). You see it in green.
From that point (0,1) you go up 1 and 2 to the right. This is the slope. You see it in pink.
Once you have the begin part in pink. You join it to the pink points and draw your line.
Here are the ingredients needed to make 16 chocolate biscuits.
-chocolate biscuits
makes 16 chocolate biscuits
100g of butter
50g of caster suger
120g of flour
15g of cocoa
sabrina wants to make chocolate biscuits for 24 people
how much of each ingredients will she need?
Answers
First we find the rate of change between 16 biscuits and 24 biscuits
24/16 = 1.5 rate so multiply your ingredients by 1.5 as I show below
16 chocolate biscuits ➡️ to 24
100g of butter ➡️ 100x 1.5 = 150g
50g of caster sugar ➡️ 50x 1.5 = 75g
120g of flour ➡️ 120 x 1.5 = 180g
15g of cocoa ➡️ 15 x 1.5 = 22.5g
Chelsea is making a quilt and she has determined she needs 1472 square inches of burgundy fabric and 399 square inches of yellow. How many square yards of each material will she need? Round your answers up to the nearest quarter yard.
The burgundy fabric:
Incorrect square yards
The yellow fabric:
How many total yards of fabric will she have to buy?
square yards
Answers
The burgundy fabric:1.135 square yards
The yellow fabric: 0.307 square yards
The total yards of fabric will she have to buy 1.442 square yards.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
Chelsea needs 1472 square inches of burgundy fabric and 399 square inches of yellow.
As, 1 yards= 36 inches
and, 1 square yards= 1296 inches
Then, 1472 square inches of burgundy fabric
= 1472/ 1296
= 1.135 square yards
and, 399 square inches of yellow.
= 399/ 1296
= 0.307 square yards
Thus, the total yards of fabric will she have to buy
= 1.135 + 0.307
= 1.442 square yards
Learn more about Unit Conversion here:
https://brainly.com/question/19420601
#SPJ1
On the first day of a trip, George traveled 295.6 kilometers. On the second day of the trip, George traveled twice as far as he did on the first day. How far did George travel all together during the two days of the trip?
Answers
Answer:
591.2 kilometers
Step-by-step explanation:
times 295.6 × 2 and you will get 591.2
in each part, determine the fundamental group up to isomorphism by showing it is homotopy equivalent to a space whose fundamental group is already known. which of the spaces are contractible?
Answers
If a map f:X→Y between connected CW complexes induces isomorphisms f∗:πn(X)→πn(Y) for all n, then f is a homotopy equivalence. In case f
is the inclusion of a subcomplex X↪Y , the conclusion is stronger: X is a deformation retract of Y.
A fairly generic notion called isomorphism can be found in many branches of mathematics. The word is derived from the Greek words morphosis, which means "to form" or "to shape," and iso, which means "equal." An isomorphism is a bijective morphism in formal terms. An isomorphism, as used informally, is a map that maintains sets and relationships between elements.
Learn more about isomorphism :
brainly.com/question/21265809
#SPJ4
Suppose a is nn and the equation ax0 has only the trivial solution. Explain why a has n pivot columns and a is row equivalent to
Answers
The equation Ax = 0 has no free variables, so A has n pivot columns. Since A is square, the pivots must be on the main diagonal, so A is row equivalent to the n x n identity matrix Iₙ.
In order for the equation Ax = 0 to have only the trivial solution, there must be no free variables. This means that the matrix A must have n pivot columns. Since A is square, the n pivot positions must be in different rows, which means that the pivots must be on the main diagonal. This means that A is row equivalent to the n x n identity matrix Iₙ. To make it row equivalent, we can perform elementary row operations, such as adding or subtracting rows, or multiplying or dividing a row by a non-zero constant. Once we have done this, the matrix will be in echelon form and the main diagonal will be composed of all 1s. This means that A is row equivalent to Iₙ.
The complete question: Suppose A is nˣn and the equation Ax=0 has only the trivial solution. Explain why A has n pivot columns and A is row equivalent to Iₙ
Choose the correct answer below.
A. Suppose A is nˣn and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nˣn identity matrix, Iₙ.
B. Suppose A is nˣn and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in A must be on the main diagonal. Hence A is the nˣn identity matrix, Iₙ.
C. Suppose A is nˣn and the equation Ax=0 has only the trivial solution. Then there are n free variables in this equation, thus A has n pivot columns. Since A is square and then pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nˣn identity matrix, Iₙ
Learn more about equation here
https://brainly.com/question/2228446
#SPJ4
PLEASE HELP!! I DID THE GRAPH ALREADY BUT IM CONFUSED ON HOW MANY CUPS BECAUSE 1 HAS NONE AND IM NOT SURE IF I SHOULD PUT 0 BECAUSE 1 HAS NOTHING OR PUT THE 2ND SMALLEST FROM 1
Answers
I can't remember what to do
Answers
The solution of the inequalities is (0.67, 3.33)
How to make the solution of the inequalitiesFrom the question, we have the following parameters that can be used in our computation:
y >= 2
x + y <= 4
y <= 2x + 2
Next, we plot the graph of the inequalities
Using the above as a guide, we have the following:
The solution is (0.67, 3.33)
This is so because the lines intersect at (0.67, 3.33) for y >= 2
Read mroe about inequality at
https://brainly.com/question/25275758
#SPJ1
Billy buys candy bars for $12.50. Each candy bar cost costs $0.75. How many candy bars did he buy?
Answers
Answer:
16 candy bars
Step-by-step explanation:
We know
Each candy bar cost costs $0.75
Billy buys candy bars for $12.50
How many candy bars did he buy?
We take
$12.50 divided by $0.75 = 16 candy bars
So, he bought 16 candy bars.
Answer:
16 2/3 candy bars. Usually you cannot buy 2/3 of a candy bar so I am wondering if a number was copied incorrectly.
Step-by-step explanation:
12.50/.75 = 16 2/3 candy bars
16 candy bars would cost $12.00
16 x .75 = 12.00
Albert Einsteen is experimenting with 2 unusual clocks which both have 24-hours displays. Once clock goes at
twice the normal speed. The other clock goes backwards, but at the normal speed. Both clocks show the correct time
at 13:00. What is the correct time when the displays on the clock next agree?
Answers
The correct time when the displays on the clocks next agree is 01:00.
Let's assume that one hour on the normal clock is equal to x.
The clock that goes twice as fast takes x/2 hours to show one hour on the normal clock.
And the clock that goes backward takes 24 - x hours to show one hour on the normal clock.
At 13:00, both clocks show the correct time.
So, x/2 + x = 24 - x + x.
Simplifying the equation:
24 = x + x/2
Multiplying both sides by 2:
48 = 2x + x
Subtracting x from both sides:
48 - x = 2x
Solving for x:
x = 24
So, one hour on the normal clock is equal to 24 hours.
The clock that goes twice as fast will show one hour in 24/2 = 12 hours.
And the clock that goes backward will show one hour in 24 - 24 = 0 hours.
So, when the displays on the clock next agree, it will be 12 + 0 = 12 hours after 13:00, which is 01:00.
So the correct time when the displays on the clocks next agree is 01:00.
Read more about time-related problems:
brainly.com/question/13672305
#SPJ4
Overview
b)
Question Progress
a)
2
4
ܠ
5
6
7
Solve the equation.
8
10
Homework Progress
I think of a number, multiply it by three, and add four. I get twenty two
20/23 Marks
Using the statement above, form an equation.
Use the letter 'x' for the unknown number.
+
Answers
Answer:
Step-by-step explanation:
a) Just work backwards!
Instead of adding 4, subtract by 4
Instead of multiplying by 3, divide by 3
22 - 4 / 3 = x
b)
22 - 4 = 18
18 / 3 = 6
Therefore, x = 6
T
50 cm
√ 8 S
120 cm
100%
100% 21%
150 cm
100%
21%
21%
Calculate #2
x Each new rectangle is 21% longer than the original.
Complete the table with the length of each new
rectangle.
Original Rectangle Length
(cm)
120
50
150
Length After 21% Increase
(cm)
Answers
Original Rectangle Length (cm) | Length After 21% Increase (cm)
120 | 144
50 | 61
150 | 180
How did we get these values?Each new rectangle is 21% longer than the original, so to calculate the length after a 21% increase, we need to multiply the original length by 1 + 21%.
For the first rectangle (120 cm):
1.21 * 120 cm = 144.4 cm (rounded to 144 cm)
For the second rectangle (50 cm):
1.21 * 50 cm = 60.5 cm (rounded to 61 cm)
For the third rectangle (150 cm):
1.21 * 150 cm = 180.15 cm (rounded to 180 cm)
So the table with the length of each new rectangle would be:
Original Rectangle Length (cm) | Length After 21% Increase (cm)
120 | 144
50 | 61
150 | 180
The rounded values were used in this table.
learn more about length of a rectangle: https://brainly.com/question/25292087
#SPJ1
you can improve this result by measuring dictionaries together. if you want to know the thickness of 1 page with an uncertainty of only 7.0 x 10-7 in., what is the minimum number of (whole) dictionaries that you need to measure together?
Answers
The minimum number of (whole) dictionaries that you need to measure together is s ≤ 7.0 x 10⁻⁷
Measurement is the process of determining the size, amount, or degree of something, usually using an instrument or a tool.
To determine the thickness of one page in a dictionary, you can measure a number of dictionaries together and average the results.
To achieve an uncertainty of only 7.0 x 10-7 inches in your measurement of one page, you need to determine the minimum number of dictionaries that you need to measure together.
Let's assume that you have N dictionaries and the thickness of the i-th dictionary is xi. Then, the average thickness of one page is given by:
(x1 + x2 + x3 + ... + xN) / N = x
The uncertainty in the average thickness of one page is given by:
s = √(∑((xi - x_bar)²)/(N-1)) / √(N) = √(∑((xi - x_bar)²)/N²(N-1))
We want to find the minimum value of N such that the uncertainty in the average thickness, s, is less than or equal to 7.0 x 10⁻⁷ inches.
So, we have:
s <= 7.0 x 10⁻⁷
Complete Question:
1. You have a set of calipers that can measure the thicknesses of a few inches with an uncertainty of + 0.0050 inches. You measure the thickness of one Oxford American Dictionary (2096 pages) and get 2.51 in.
You can improve this result by measuring dictionaries together. If you want to know the thickness of 1 page with an uncertainty of only 7.0 x 10⁻⁷ in., what is the minimum number of (whole) dictionaries that you need to measure together?
To know more about measurement here.
https://brainly.com/question/22561494
#SPJ4
Lauren has a coin collection. She keeps 3 of the coins in her box, which is 4% of the collection. How many total coins are in her collection?
Answers
The total coins in Lauren's coin collection = 75
Let us assume that there are 'n' total coins in Lauren's coin collection.
She keeps 3 of the coins in her box, which is 4% of the collection.
This means that 4 percent of 'n' is equal to 3.
Using the percentage formula,
4 % of m = 3
m × (4/100) = 3
We solve above equation for m.
⇒ m × 4 = 3 × 100 ..........(multiply both the sides by 100)
⇒ m × 4 = 300
⇒ m = 300/4 ..........(divide both the sides by 4)
⇒ m = 75
Therefore, she has 75 coins in her collection.
Learn more about an percentage here:
https://brainly.com/question/16797504
#SPJ4
Please help e find rration for cos b. Fraction only!
Answers
The value of cos B in the fraction is 12/37.
What is a right-angled triangle?A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.
Given:
A right-angled triangle.
The trigonometric identity:
Cos B = Adjacent leg of the triangle/ Hypotenuse of the triangle
Cos B = 12/37
Therefore, Cos B = 12/37.
To learn more about the right-angled triangle;
brainly.com/question/3772264
#SPJ1
whats the expression (2x+3)(2x-4)
Answers
Answer:
[tex] {4x}^{2} - 2x - 12[/tex]
Step-by-step explanation:
To complete this problem, use FOIL. First, Outer, Inner, Last.
(2x + 3)(2x - 4)
First, multiply 2x by 2x.
[tex] {4x}^{2} [/tex]
Now, multiply the outer numbers, 2x and -4.
[tex] - 8x[/tex]
Third, multiply the inner numbers, 3 and 2x.
[tex]6x[/tex]
Lastly, multiply the last numbers, 3 and -4.
[tex] - 12[/tex]
Now, put it all together.
[tex] {4x}^{2} - 8x + 6x - 12[/tex]
The final step is to combine like, or similar terms.
The only ones that can be combined are -8x and 6x.
[tex] {4x}^{2} - 2x - 12[/tex]
Hi, its me again. Find angle AOB
Answers
Answer:
AOC=360-130 = 230
ABC= 230/2=115
Answer:
∠ABC = 115∘
Step-by-step explanation:
∠ABC = 1/2 ∠AOC
(Angle subtended by a chord on major area is half of that subtended on center)
∴ ∠ABC = 1/2 x 130 = 65
ABCD is a cyclic quadrilateral
Sum of opposite angles = 180∘
∴ ∠ABC + ∠AOC = 180∘
∠ABC + 65 = 180∘
∠ABC = 115∘
7.4 big ideas question
Answers
Explanation
∠ QRT = ∠R is an opposite interior angle to given ∠ 34 so it’s congruent or the same.
So ∠QRT = 34.
Jake is traveling 12 mph in his boat. After 3 hours. How far will he have traveled?.
Answers
kevin and jerome are cleaning a pool together. kevin can clean the pool on his own in 4 hours and jerome can clean the pool on his own in 6 hours. how many hours will it take the two boys working together to clean the pool?
Answers
It would take the two boys working together 2.38 hours to clean the pool.
The formula for working out the time it would take two people to complete a job when working together is:
T(combined) = 1 / (1/T1 + 1/T2)
Where T1 is the time it takes one person to complete the job and T2 is the time it takes the other person to complete the job.
In this case, T1 is 4 hours for Kevin and T2 is 6 hours for Jerome.
To solve the equation:
T(combined) = 1 / (1/4 + 1/6)
T(combined) = 1 / (0.25 + 0.17)
T(combined) = 1 / 0.42
T(combined) = 2.38 hours
Therefore, it would take the two boys working together 2.38 hours to clean the pool.
Learn more about equation here:
https://brainly.com/question/14686792
#SPJ4
A wall is separated into two sections, A and B. The function A(x) = 4x − 1 represents the length of section A. The function B(x) = 8x − 3 represents the length of section B. What is the total length of the wall in terms of x?
1. (A + B)(x) = 12x2 − 20x − 4
2. (A + B)(x) = 32x2 − 20x + 3
3. (A + B)(x) = 32x + 4
4. (A + B)(x) = 12x − 4
Answers
Answer: 4 is correct
Step-by-step explanation:
A(x) + B(x) = (4x - 1) + (8x - 3)
= 12x - 4
WILL GIVE BRAINILEST
Answers
Step-by-step explanation:
5 × -8a = -40a
5 × -9 = -45
-40a - 45 = 5(-8a - 9)
5 × -8a = -40a
5 × -9 = -45
-40a - 45 = 5(-8a - 9)
Compare the volume and surface area of a sphere with a radius of 5 in. with that of a cube that has sides measuring 8.06 in.
1: The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.
2: The volume of the sphere is approximately equal to the volume of the cube, but the cube has a greater surface area.
3:The volume of the cube is greater than the volume of the sphere, but the sphere has a greater surface area.
4:The sphere and the cube have approximately the same volume and surface area.
Answers
The correct statement is : The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.
What are the surface area and volume of a sphere?Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.
Given here: A sphere with 5 in. radius and a cube with side measuring 8.06 in.
Volume of the sphere is
V=4/3πr³
=4/3·π·5³≈523.59878 in³
Surface area of the sphere is
A=4πr²
=4·π·5²≈314.15927 in²
Now volume of the cube
a³=8.06³
≈523.60662 in³
Surface area of the cube
A=6a²
=6×8.06²
≈389.7816 in²
Thus The volume of the sphere is approximately equal to the volume of the cube, but the sphere has a greater surface area.
Learn more about the volume of sphere:
https://brainly.com/question/2855746
#SPJ1
Identify the percent of change as an increase or a decrease.
5/4
to 3/8
Answers
The percent of change from 5/4 to 3/8 is a 70% decrease.
To find the percent of change, we need to determine the difference between the original amount and the new amount, and then divide that difference by the original amount and multiply by 100 to express the answer as a percentage.
Let's first convert both fractions to decimals:
5/4 = 1.25
3/8 = 0.375
Next, let's find the difference between the original amount (1.25) and the new amount (0.375):
1.25 - 0.375 = 0.875
Finally, let's divide the difference by the original amount and multiply by 100 to express the answer as a percentage:
(0.875 / 1.25) * 100 = 70
To know more on percent of change
https://brainly.com/question/9144026
#SPJ4
For a moving object, the force on the object varies directly with the objects acceleration. When a force of 30 N acts on a certain object, the acceleration of the object is 10 m/s^2. If the force is changed to 9 N, what will be the acceleration of the object?
Answers
Answer: The force on an object is directly proportional to its acceleration, which means that if the force is increased, the acceleration will also increase, and if the force is decreased, the acceleration will decrease. This can be expressed mathematically as:
F = k * a
where F is the force, a is the acceleration, and k is a constant of proportionality.
We can use the given information to find the value of k:
30 N = k * 10 m/s^2
k = 3 N*s^2/m
Now we can use this value of k to find the acceleration when the force is 9 N:
9 N = 3 Ns^2/m * a
a = 3 Ns^2/m / 9 N
a = 1/3 m/s^2
Therefore, the acceleration of the object when the force is 9 N is 1/3 m/s^2.