Mathematics High School

Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)​

Write A Cubic Function Whose Graph Goes Through The Points: (-5, 0) (1, 0) (2, -2) (4, 0)

Answers

Answer 1

Answer:

Step-by-step explanation:

From points (-5,0),(1,0),(4,0) we know it has the form

y=(x+5)(x-1)(x-4)

y=(x^2+4x-5)(x-4)

y=x^3-4x^2+4x^2-16x-5x+20

y=x^3-21x+20

Then it must pass through the point (2,-2) so

-2=[2^3-21(2)+20]b

-2=[8-42+20]b

-2=[-14]b

b=1/7 so the equation is

y=(x^3-21x+20)/7

Related Questions

WILL MARK!!

Select the correct answer.
Which function does this graph represent?

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Find the missing side of this right
triangle.

Answers

Answer: I believe it’s 15

Step-by-step explanation:

Given the vertex form of a parabola​

Answers

It’s C. You’re welcome

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Answers

Answer:

Its c have a nice day! <3

Step-by-step explanation:

Mrs. Hazen bought 4 1/2 pounds of bananas to make a banana cream pie. There are 16 ounces in a pound. How many ounces of bananas did Mrs. Hazen purchase?

Answers

Answer:

72 ounces of bananas

Answer:

72

Step-by-step explanation:

4.5 ties 16 = 72

HELP HELP HELP PLS :(

Answers

Its 216 square feet because 24 x 18 / 2 = 216 (divided by two because its a triangle)

Answer:

A

Step-by-step explanation:

becaus emultiply 24 x  18 and its 432

Factor 60y-90-20x to identify the equivalent expressions. Choose two answers.



5(14-16-4x)



2(30-45-10)



5(12y-18-4x)



10(6y-9-2x)

Answers

C & D
Step-by-step explanation:
One evident common factor between 60, 90, & 20 is 10 because all these numbers end in a 0; Therefore one way to factor the equation 60y - 90 - 20x is;
10 (6y – 9 – 2x)
5 is also a common factor between the numbers 60, 90, & 20
60/5 = 12; 90/5 = 18; 20/5 = 4
Therefore 60y - 90 - 20x is also equal to;
5 (12y – 18 – 4x)

Find h. 11 in. h = [?] in. 1 1 1 14 in. Enter​

Answers

Answer:

You know that the Pythagorean Theorem is:

a²+b²=c²

,

Where:

a

is the length of one of the legs,

b

is the length of the other leg, and

c

is the length of the hypotenuse.

You know the lengths of the two legs are

7 and 11

, so we'll say that

a is 7 , and b is 11

Knowing that, we can plug those into our equation and simplify like so:

7²+11²=c²

49+121=c²

170=c²

√170=c

c=13.0384

Answer:

√72

Step-by-step explanation:

Use Pythagorean:

h² + (14/2)² = 11²h² + 49 = 121h² = 121 - 49h² = 72h = √72 in

1/3 of 18 helpp please

Answers

Answer:

6

Step-by-step explanation:

the answer to 1/3 of 18 is 6.

Solve, using linear combination.
8x + y = 14
3x + y = 4
(2.0)
(2,-2)
(0.2)
(-2.2

Answers

Answer:

(2,-2)

Step-by-step explanation:

The graphs below have the same shape. What is the equation of the blue
graph?
5
f(x) = x
W
Na
g(x) = 2
g(x) = -
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x+4)2 - 1
O c. g(x) = (x - 4)2 - 1
O D. g(x) = (x+4)2 + 1

Answers

Answer:

If the attached graph is the one you mean, the answer is g(x) = (x-4)^2 + 1

The equation of the blue graph is,

⇒ g (x) = (x - 4)² + 1

Given that;

The given function is,

⇒ f (x) = x²

Since, It is given that both graph has same shape it means the equation of blue graph is in the form of;

⇒ g (x) = (x - h)² + k

Where, (h,k) is the vertex of the parabola.

Hence, From the given graph it is noticed that vertex of blue parabola is (4,1),

Therefore, the equation of parabola is,

⇒  g (x) = (x - 4)² + 1

Thus, The equation of the blue graph is,

⇒ g (x) = (x - 4)² + 1

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.
13, 5, 12

A. Acute Triangle


B. Obtuse Triangle


C. Right Triangle

Answers

Answer:

C. Right Triangle

Step-by-step explanation:

Verify with Pythagorean:

13² = 1695² + 12² = 25 + 144 = 169169 = 169

We see the squares are equal, so this is a right triangle.

Correct choice is C

19. If 4 + 2(3x - 4) = 8, then 4x -4 =
4
8
6
2

Answers

Answer:

4

Step-by-step explanation:

First, solve for x:

4 + 2(3x - 4) = 8

4 + 6x - 8 = 8

6x = 12

x = 2

Now, plug x into 4x - 4:

4(2) - 4 => 8 - 4 = 4

it's has to be 4 my friend did it and she said she got it right hope this helps

which graph represents the function f(x) = 3x-2/x-2?

Answers

Answer:

solve for x and that should help match the equation to the correct grapgh, hope this help!

Step-by-step explanation:

Please help !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:A-false B-false C-true D-true E-false

Step-by-step explanation:

if im wrong pls tell me :)

I need help I'm so confused

Answers

Answer:

Yeah me too buddy :(

Step-by-step explanation:

Simplify this expressions 5x -7 + 3x + 10

Answers

Answer:

8x + 3

Step-by-step explanation:

=5x+−7+3x+10

=(5x+3x)+(−7+10)

=8x+3

The cookie recipe called for oatmeal and raisins in the ratio of 3 to 1. If 4 cups of oatmeal were called for, how many cups of raisins were needed?

Answers

The cups needed was 4

• How much do customers have to spend in order to raise $1,000 for the pet rescue program? Amount Spent (dollars) 120 Amount Donated (dollars) 1000

Answers

Complete question :

a pet store had a special offer this weekend. for every $120 that customers spend, $3 is donated to a pet rescue program. How much do customers have to spend in order to raise $1000 for the pet rescue program?

Answer:

$40000

Step-by-step explanation:

Offer :

For every $120 spent ; $3 is donated

In other to raise $1000 ; $x would have to be spent ; we can obtain the value of x using cross multiplication ;

$120 = $3

$x = $1000

Cross multiply

$(120 * 1000) = $3 * x

$120000 = $3x

x = 120000 / 3

x = 40,000

Hence, in other to raise $1000 ; $40000 would have to be spent by customers.

2/5p-3.11=1.13
what is p

Answers

2p-4+16=5p-9

-3p-4+16=-9

-3p-4=16+-9

And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.

Did this help?

Help asap I have to get my work done soon or I will be up all night.
7mp(m + p + x + 2mp)

Answers

Answer:

=14m^2p^2+7m^2p+7mp^2+7mpx

Solve the equation for x.
2(2x - 4) = 3(x + 4)

Answers

Answer:

2(2x-4)=3(x+4)

4x-8=3x+12

4x-3x=12+8

x=20

Whats the answer to this question plz

Answers

1. x=13

2. m<OME=128

Step-by-step explanation:

1. 5x=65

x=65÷5

x=13

2. 4x+2x-12=180

6x-12=180

6x=180+12

6x=192

×=32

<OME=4×(32)

<OME=128

Answer:

1) x=13

2)m<OME=128.

Step-by-step explanation:

1) 5x=65

x=65:5

x=13

2) 4x+2x-12=180

6x-12=180

x=32.

Rick bought a car for $17,500. Each year, the car's value decreases by 20%. At this rate, what can Rick expect the value of his car to be in 6 years? *
$1.12
$15,502.24
$4,587.52
$17,380.00

Answers

Answer:

His car would be worth $15,502.24

Step-by-step explanation:

20% of 17,500 is 350. 350 x 6 = 2,100. 17,500 - 2,100 = 15,400. But that is not an answer choice so be go to  the closest number which is $15,502.24

What's the value of
[tex] = > 12 \times 5 + 45 - 36[/tex]
​

Answers

Answer:

12×5+45-36=60+9=69 is your answer

Answer:

12×5=60+45=105-36=69

3(4x+6)=-4

What property did you use to solve this problem?

Answers

Answer:

The distributive property

Step-by-step explanation:

You have to distribute the 3 to the parenthesis so it is the distributibe property.

Determine if this table is a linear function. If so, what is the slope?

Answers

Answer:

No, it is not linear

Step-by-step explanation:

It does not steadily increase the same interval every time.

Hope this helps (:

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Carmen is filling a tank with water at a rate of 4 gallons per minute. The tank already had 170 gallons of water in it. Suppose the tank holds a total of 350 gallons of water. How much longer will it take her to fill the tank?

(a) Write an equation to help answer the question above.
Choose the correct form below and fill in the blanks using only 4, 170, and 350.
(The variable x is used to represent the number of minutes.)

o_x+_=_
or
o_-_=_
(b) Write an expression to help answer the question above.
Choose the correct form below and fill in the blanks using only 4, 170, and 350
o_+_
_
or
o_-_
_

(c) How much longer will it take Carmen to fill the tank?
_ minutes

Answers

Answer: In explanation

Step-by-step explanation: 350-170=4x

Solve                                     180=4x

                                              45=x    45 minutes longer

4x+170=350 because you would want to subtract 170 from each side not add 170 to each side when simplifying

4x+170 because that is how much gas the tank can hold.  You need to have 4x in the equation and 350 and 4x wouldn't make sense so use 4x and 170.

45 minutes as stated above.

can someone help me please??!?!

Answers

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Gabriel wants to solve the equation 5 eights M equals 25 what steps should he do to get him by itself on one side of the equation

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the Equation :

(5/8)m = 25

The first step to take with this kind of equation is to multiply both sides by the denominator, 8

5m/8 * 8 = 25 *8

5m = 200

Then, we can divide both sides by 5 in other to isolate m

5m / 5 = 200 / 5

m = 40

Answer: m+40

Step-by-step explanation:

Given the Equation :

(5/8)m = 25

The first step to take with this kind of equation is to multiply both sides by the denominator, 8

5m/8 * 8 = 25 *8

5m = 200

Then, we can divide both sides by 5 in other to isolate m

5m / 5 = 200 / 5

m = 40

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