The graph represents a cubic function. Write the function.

The Graph Represents A Cubic Function. Write The Function.

Answers

Answer 1

Zeros are

(0,0)(-3,0)(-4,0)

Write in factor form and solve

(x-0)(x-(-3))(x-(-4))=0x(x+3)(x+4)=0x[x(x+4)+3(x+4)]=0x(x²+4x+3x+12)=0x(x²+7x+12)=0x³+7x²+12x=0

Points given (-2,16)

Solve for n

n(x³+7x²+12x)=y

On solving we get

n=-4

So the function is

y=-4(x³+7x²+12x)y=-4x³-28x²-48x
Answer 2

Answer:

-4x³ - 28x²- 48x

Explanation:

x-intercept: (-4, 0), (-3, 0), (0, 0)

→ so equation: a(x+4)(x+3)(x+0)

point given: (-2, 16)

→ substitute these points to find a

a(-2+4)(-2+3)(-2) = 16a = -4

so the graphed cubic equation:

-4(x+4)(x+3)(x+0)-4x³ -28x²-48x

Related Questions

Set up a system of equations for the given word problem:

Tyrone placed two orders with a nursery. The first order was for 10 bushes and 6 trees, which totaled $568. The second order was for 9 bushes and 3 trees, which totaled $348.

-

Set up a system of equations for the given word problem:

The admission fee at a small fair is $3.50 for children and $6.00 for adults. On a certain day, 1500 people enter the fair and $7,580 is collected.

Answers

Answer:

For the first problem:

10b + 6t = 568

9b + 3t = 348

For the second problem:

c + a = 1500

3.50c + 6a = 7580

Ralphie is taking a ten-question multiple choice test. Each question has five choices. If Ralphie answers a question
correctly, he earns one point; if he answers incorrectly, he loses half a point. Ralphie answers the first six questions
correctly, then guesses on the last four. What is the expected value of his test score? Round the answer to the nearest
whole percent.

Answers

Using the binomial distribution, it is found that the expected value of his test score is of 6.8.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, the parameters are given as follows:

For the first 6 questions, n = 6 and p = 1.For the last 4 questions, n = 4 and p = 1/5 = 0.2.

Hence, the expected score is given by:

E(X) = 6 x 1 + 4 x 0.2 = 6.8.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

A.

Step-by-step explanation:

The figure below is made up of unit cubes that each have a volume of 1 cubic centimeter.

A. 7
B. 9
C. 11
D. 13



HELP PLEASE​

Answers

Answer:

c. 11

Step-by-step explanation:

Bottom row: 6 cubes

middle row: 4 cubes

top row: 1 cube

11 cubes total.

Paul bought 4 DVDs for $9.95 each. What was his total cost?

A.$39.90

B.$40.80

C.$39.80

D.$38.80

Answers

I believe it’s C $39.80 $9.95 x 4

PLEASE HELP! I WILL GIVE BRAINLIEST AND NO LINKS PLEASE!

Answers

Answer:

Your answer would be the first one, 7/8 and 0.92, because they are only ones greater than 5/7 the rest equal under 5/7

Answer:

The two solutions: 7/8 & 0.92

Step-by-step explanation:

[tex]\frac{5}{7} =0.714[/tex]

7/8 = 0.875,  because 0.875 [tex]\geq 0.714[/tex]

0.92 because [tex]\geq[/tex] 0.714

Hope this helps

im stuck hahahahahahha lol

Answers

Answer:

r=53 degrees

______

yan po

The first three and last terms of an arithmetic sequence are 7, 13, 19,..., 1357.
(a) Find the common difference.

Answers

Answer:

6

Step-by-step explanation:

common difference = (n + 1) - nth term = 13 - 7 =6

Answer:

subtract 6 every time

Step-by-step explanation:

you subtract first term from second term

If you can help me with this please and thank you

Answers

Answer:

1) im not sure

2) im not sure

3) 72 degrees

Step-by-step explanation:

Find the area of the polygon.

Answers

Answer:

95 m

Step-by-step explanation:

you can split the shape into three pieces so it is 4x5, 4x5, and 11x5. Add the products for the area which is 95 m

What is the domain and range?

Answers

Answer: domain: [-6,6] range: [-4,3]

Step-by-step explanation: domain is the smallest to biggest x value range is the smallest to biggest y value

i need help with #7 c and d

Answers

Answer:

  c. 33.0%

  d. 14.5%

Step-by-step explanation:

For answering questions about percentages in different categories or combinations of categories, it is convenient to find the totals of rows and columns in the table. These totals are shown in the attached.

__

c.

Students who surf total 32+65 = 97. Of those, 32 also skateboard. The requested percentage is ...

  32/97 × 100% ≈ 33.0% . . . . surfers who also skateboard

__

d.

The total number of students is 166. Of those, the number who neither surf nor skateboard is 24. That percentage is ...

  24/166 × 100% ≈ 14.5% . . . . students who don't surf or skateboard

_____

Additional comment

a. 97/166 ≈ 58.4% surf

b. 89/166 ≈ 53.6% do not skateboard

__

This sort of table is called a "two-way table." One set of categories is represented in rows, another set is represented in columns. This table is filled with frequencies. Such tables can also display relative frequencies by dividing the entire table by the total of totals in the lower right corner.

Please help!! thanks! ​

Answers

Answer:

C. (5, 1)

Step-by-step explanation:

Because the slope of F and G is 2, we know that the other points with the same distance are also going to have a slope of ±2. The only answer choice that fits this criteria is C

Hope this helps!

C.) (5,1) because we know the distance of F and G is 2 and if we graph (5,1) you would see the distance from F is 2

Nicholas bought 776.25 ounces of chocolate. 213.46 ounces of it was milk chocolate and the rest was dark chocolate. How much dark chocolate did Nicholas buy?

Answers

562.79 ounces

Step-by-step explanation:
The amount of dark chocolate that Nicholas bought will be:
= 776.25 - 213.46
= 562.79 ounces

2x+5y < 19 and x-2y <-9
Solve the system of equation and graph it.

Answers

Answer:

  see attached

Step-by-step explanation:

The boundary lines and solution region are shown on the attached graph. It is convenient to let a graphing calculator plot them.

__

If you'd like to plot the boundary lines by hand, it is useful to note the equations for them are in standard form:

  ax +by = c

This means the slope is m = -a/b, and the y-intercept is c/b. Here, the odd constant values mean that (most) intercepts will involve fractions.

2x+5y<19

  slope: -2/5

  y-intercept: 19/5 = 3.8

  points on the line: (7, 1), (2, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

x-2y<-9

  slope: 1/2

  y-intercept: 9/2 = 4.5

  points on the line: (1, 5), (-3, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

Solution Region

The lines have slopes of opposite signs, so cross in a fashion that forms an "X" on the graph. Shading is left of both lines, so will be in the left quadrant of the X. The boundary lines are not part of the solution region.

_____

Additional comments

The boundary line will be solid when the inequalitiy includes the "or equal to" case. This is identified by the symbols ≤ or ≥. Here, we have the symbol <, which does not include the "or equal to" case, so the boundary line is dashed. (The same would be true for an inequality using >.)

To determine shading direction, it is convenient to pick a variable with a positive coefficient, and look at its relation to the inequality symbol. In the first inequality, we could choose either of ...

x < ( ) . . . . . shading left of the dashed liney < ( ) . . . . . shading below the dashed line

__

In the second inequality, the only variable with a positive coefficient is x, and its relation to the inequality symbol is ...

x < ( ) . . . . . shading left of the dashed line

If we were to rewrite the second inequality to give the y-variable a positive coefficient, we could get either of ...

y > ( ) . . . . . multiply by -1/2( ) < y . . . . . add the opposite of the y-term

Either way, the shading is above the dashed line.

__

About points on the line:

The inequalities have odd constants (19, -9) and coefficients with different parity (one even, one odd). That makes it convenient to choose an odd value for the variable with the odd coefficient. The result will be an integer value for the variable with the even coefficient.


PLEASE HELP ME OUT AND PLEASE

Answers

Answer:

65⁰ because the opposite angles of parallelogram are equal...

Simplify: 4/15+7/8-11/12​

Answers

Answer:

[tex]\frac{9}{40}[/tex]

Step-by-step explanation:

LCD: 120

[tex]\frac{4}{15} +\frac{7}{8} -\frac{11}{12}[/tex]

[tex]\frac{32}{120} +\frac{105}{120} -\frac{110}{120}[/tex]

[tex]\frac{27}{120}[/tex]

[tex]\frac{9}{40}[/tex]

Hope this helps!

Answer:

9/40

hope this helps.

Please Help Me ASAP.

Answers

Answer:

x > -10

Step-by-step explanation:

5 - 3x > 35

-5           -5

-3x > 30

[tex]\frac{-3x > 30}{-3}[/tex]= x > -10

Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.



29 i

29 i - 20

- 21 i

29

Answers

(2 - 5i) (2 + 5i) (i)
(4 + 10i - 10i -25) (i)
(4 - 25) (i)
-21i

1. The equation of a circle is x² + y² - 4x +2y-11-0. What are the center and the radius of the circle?
www
Show your work.
Answer:

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Circles,

so we get as,

centre as ==> ( -g, -f) ==> (2,-1)

The original price is $125. The sale price is $81.25. How much was the discount as a percent?

Answers

Answer: 35%

Step-by-step explanation:

Start by subtracting the original price by the sale price.

125-81.25=43.75

Now divide that amount by the original price.

[tex]\frac{43.75}{125} =0.35[/tex]

Multiply that value by 100 for the answer

0.35×100=35

35%

Answer:

Discount Percent = 35.00 %

Step-by-step explanation:

125-81.25=43.75 actual discount

43.75/125 = 0.35 actual discount / original

0.35 as percentage = 35%  

HELPPP!!!! URGENTT!!!!

Answers

Answer:

The answer is the 1

Step-by-step explanation:

She has a less chance because there are 4 questions with 4 answers so that decreased her chances.

-8 . (-10+(-7))
Please help im stuck on this.

Answers

Answer:

136.

Step-by-step explanation:

-8 . (-10+(-7))

= -8*-10 + - 8*-7

= 80 + 56

= 136.

Ed Galaxy- Operations with whole numbers and decimals ​

Answers

Answer:

0.6

Step-by-step explanation:

1.0l-0.4l=0.6L

HELP PLEASEE!!!

A prism is filled with 25 cubes with 1/2-unit side lengths. What is the volume of the prism in cubic units?

Answers

Answer:

3.125 cubic unit i guess

Answer:

3.125 unit cube is the answer i hope i helped u

Find the axis of symmetry and the vertex of the graph of the function.
g(x) = 2x^2+12x+4

Answers

so hmmm from the equation we can see that is in "x terms" so the independent variable is "x", that tells us the parabola is a vertical one, leading term's coefficient is "2", that means it opens upwards like a bowl.

on a vertical parabola the axis of symmetry is the x-coordinate of its vertex, let's find the vertex of this one.

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+4} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 12}{2(2)}~~~~ ,~~~~ 4-\cfrac{ (12)^2}{4(2)}\right)\implies \left( -3~~,~~4-\cfrac{144}{8} \right) \\\\\\ (-3~~,~~4-18)\implies (\stackrel{x}{-3}~~,~~-14)~\hfill \stackrel{\textit{axis of symmetry}}{x=-3}[/tex]

brainliest if right so who can get it right

Answers

Answer:

1.   E:  20a - 18

2.  D:  42

3.  G:  17b + 3

4.  I:  105

CODE: EDGI

Step-by-step explanation:

Question 1

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

width = 2a + 3length = 8a - 12

Perimeter = 2(2a + 3) + 2(8a - 12)

                 = 4a + 6 + 16a - 24

                 = 20a - 18

Question 2

When a = 3

⇒ perimeter = 20(3) -18

                     = 60 - 18

                     = 42 centimeters

Question 3

The dashes on the side lengths mean those sides are equal in length.

⇒ perimeter = (7b - 2) + (7b - 2) + (3b + 7)

                     = 17b + 3

Question 4

When b = 6

⇒ perimeter = 17(6) + 3

                     = 102 + 3

                     = 105 meters

1) A user must be at least 13 years old to set up a video-sharing account.
Let x be the age in years of a user who can set up an account.
Which inequality represents the situation?

Answers

Answer: x [tex]\geq[/tex] 13

Step-by-step explanation: quite simple actually, since the user must be AT LEAST 13 years old to set up the account, the equation would be X is greater than or equal to 13.

Hope this helps

A cylinder has a radius of 19 millimeters. Its volume is 22,670.8 cubic millimeters. What is the height of the cylinder?

Answers

Answer:

19.99

Step-by-step explanation:

use the formula

[tex]\pi {r}^{2} h = v[/tex]

change it up so that you solve for height

[tex] \frac{v}{ {r}^{2} \times \pi } = h[/tex]

substitute values in and solve

Answer:

20.00 mm to the nearest hundredth.

Step-by-step explanation:

V = π r^2 h

22,670.8 = π * 19^2 * h

h =  22,670.8 /  π * 19^2

= 22,670.8 / 1134.115

= 19.9899

To which family does the function y = (x 2) superscript one-half baseline 3 belong? quadratic square root exponential reciprocal

Answers

The function y = √(x + 2) + 3 is a quadratic function. Then the correct optin is A.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The equation is given below.

[tex]y = (x+2)^{1/2} + 3[/tex]

The equation can be written as

[tex]y - 3= (x+2)^{1/2}[/tex]

Square on both sides, we have

[tex]\begin{aligned} (y - 3)^2 &= [(x+2)^{1/2}]^2 \\\\x + 2 &= y^2 + 9 -6y \\\\x &= y^2 -6y +7 \end{aligned}[/tex]

The equation is a quadratic equation.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:

A) Quadratic

Explanation:

Hope you have a great day!

omg please help its due by 12 am! the sum of 2 numbers is 69. the larger number is 3 less than twice the smaller number .find the numbers. show your work!

Answers

Answer:

x = 45, y = 24.

Step-by-step explanation:

If the 2 numbers are x and y:

x + y = 69...........(1)

x = 2y - 3

x - 2y = -3...........(2)

Subtract: (1) - (2):

x - x + y - (-2y) = 69 - (-3)

y + 2y = 72

3y = 72

y = 24.

From equation 1:-

x + 24 = 69

x = 45.

Answer:

one number would be 63 and the other would be 6

Step-by-step explanation:

69/2=34.5

it says 3 less which means minus 3, so you would:

34.5-3=31.5

then it says twice the smaller number, so you would:

31.5*2

Other Questions
SOMEONE PLEASE HELP!!!! ILL GIVE BRAINLIEST The Federalist Paper #10 stated that astrong federal government would haveprevented what from happening?A. Bill of RightsB. Shays' RebellionC. American Revolution What details can be observed in the painting? select 3 options. an unclean floor injured men surgical tables dazed expressions concerned relatives Connecting Selection Short Answer Question (9 pts):What message do you think the author in Sonata for Harp and Bicycle and the poet of George Gray are trying to convey? Explain your answer and support it with evidence from both selections. Can someone please help me? :( Explain the four basic types of chemical reactions. Be sure to include a sample equation for each type. The Scotch broom is an invasive species in California, Oregon and Washington. These shrubs grow quickly after areas that have been cleared oftrees and inhibit reforestation by out-competing native seedling trees. These plants developed a mutation that causes their seed to burst fromtheir shell when touched by passing animals. As animals brush past these plants, the black dried pods of the Scotch broom explode with a sharppop, scattering seeds away from the parent plant.Which statement below best explains why the Scotch broom is able to out-compete the native plants in that area?A. Relying on animals to disperse the seeds always results in better reproductive success than other methods of seed dispersion.B. Specialized seed pods allow seeds to be dispersed farther and into less crowded areas promoting reproductive success.C. The crackling sound of seed pods exploding promotes reproductive success by attracting the animals that are responsible for scatteringseeds.D. Genetic mutations have caused the plant to be more resistant to cold temperatures allowing them to survive and reproduce all yearlong. Nikita performed an experiment in which she randomly pulled a marble from a bag, recorded its color, placed it back in the bag, and then repeated. The results are shown in the following table.Result FrequencyRed 20Purple 24Blue 12Based on the experiment, what is the probability of drawing a blue marble? her classmate laughed at her salve and her claadmate identify the postulate (SAS, ASA, SSS) / theorem (AAS) that proves the two triangles are congruent. Work out64.89% of 407.68cmGive your answer rounded to 2 DP. Evaluate the expression when a=4 and b=6?8a-b You are riding a bicycle. If you apply a forward force of 150 N, and you and the bicycle have a combined mass of 90 kg, what will be the forward acceleration of the bicycle Assume there is no friction) A. 1.67 m/s2B. 1.85 m/s2 mC. 0.60 m/s2D. 3.37 m/s2 HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPp (REALLY NEED HELP, thank you:))The United States Constitution requires that a national census be taken every ten years todecide who can vote in presidential elections.establish a standard for setting income tax rates.determine the number of members of each state will get in the House of Representatives.provide the government with information about voter registration. (x+35)(2x + 1). How do I do this pls help ill give brainliest What statement best explains why evidence of glaciers appeared in south africa millions of years ago last year a company made a profit of one and a quarter million dollars.Each year the company reinvests 1/3 of the profit How much of this profit eill they reinvest Andrew Jackson uses many words with positive connotations in his speech. What is the effect?