how do you find the x-intercepts if given the following polynomial in factored form?

X(x-2)^2(x+4)(x+1)​

Answers

Answer 1

Answer:

Step-by-step explanation:

You know the intercepts occur at x = 0, so set each part of the factored form equal to zero and solve for x.

The first part, plain X = 0, so X = 0 is a root, an x-intercept

The second part (X-2)^2 = 0, so X = 2 is another root. Since the function is being squared, this root will happen twice. The function crosses this root twice.

The third part (x+4) = 0, so x = -4 is another root.

Finally, (x+1) so x = -1 is another root.

So you have X = 0, X = 2, X = -4, X = -1 as your x-intercepts


Related Questions

Charmaine has 17 cars available to rent. Let C be the number of cars she would have left after renting R of them.

Answers

Answer:

C = 17 - R

Step-by-step explanation:

In this scenario, 17 cars would be the initial starting point. While C would be the final number of cars, meaning that our equation would have to equal C. If she rents R number of cars then this number is being subtracted from the initial number of cars because Charmaine would no longer have them in his/her possession. Therefore, it is being subtracted. Using this information we can create the following equation.

C = 17 - R

8x-7=-5x+19 denklemini sağlayan, x'in değeri kaçtır? ​

Answers

Answer: X=2

Step-by-step explanation:

8x-7=-5x+19

=> 8x+5x=19+7 [Transforms]

=> 13x=26

=> x=26/13

So, x=2

expand the following: 4(2x + 1)

Answers

8x + 4 is the answer

Answer:

the equivalent expression is 8x + 4

Step-by-step explanation:

4(2x + 1) = 4x2 = 8 =

8x + 1 = 4x1 = 4 =

8x + 4

To check your work substitute 1

4(2(1) + 1) = 4(2 + 1) = 4(3) = 12

8(1) + 4 = 8+4 = 12

therefore they are both equivalent

hope this helped!

Find the value of x when the triangle has 9 and 3

Answers

Answer:

H²=h²+b²

H²=9²+3²

H²=81+9

H²=90

H=

[tex] \sqrt{90} [/tex]

After 5 hours, how far apart are the boats? Label the distance(s) on your drawing from the first problem.

Answers

Answer:

The distance between them is 277.84 m

Step-by-step explanation:

See comment for complete question.

Given

Boat A:

[tex]Speed = 24mph[/tex]

[tex]\angle A = 340^{\circ}[/tex]

Boat B:

[tex]Speed = 35mph[/tex]

[tex]\angle B = 200^{\circ}[/tex]

[tex]Time = 5hr[/tex]

First, we calculate the distance traveled by both boats in 5 hours

[tex]Distance= Speed * Time[/tex]

[tex]Boat\ A = 24mph * 5hr = 120m[/tex]

[tex]Boat\ B = 35mph * 5hr = 175m[/tex]

For more clarity, I'll make use of the attached image to represent the system.

From the attachment, we are to calculate distance C, but first we calculate the angle between them.

[tex]\theta = 340^{\circ} - 200^{\circ}[/tex]

[tex]\theta = 140^{\circ}[/tex]

C is then calculated using cosine law:

[tex]C^2 = A^2 + B^2 - 2BC\ Cos\theta[/tex]

This gives:

[tex]C^2 = 120^2 + 175^2 - 2*120*175\ Cos(140^{\circ})[/tex]

[tex]C^2 = 120^2 + 175^2 - 2*120*175*-0.7660[/tex]

[tex]C^2 = 14400 + 30625 + 32172[/tex]

[tex]C^2 = 77197[/tex]

Take square root of both sides:

[tex]C = \sqrt{77197[/tex]

[tex]C = 277.84[/tex]

The distance between them is 277.84 m

Alicia quiere comprar 57 vasos. En la tienda ve que los vasos se venden, en cajas
de 3 o de 5 piezas. Alicia compra en total 13 cajas, de manera que pueda tener
exactamente 57 vasos.
¿Cuántas cajas de tres vasos y cuántas cajas de cinco vasos ha comprado
Alicia?

Answers

Answer:

compró 4 cajas q contenían 3 vasos

y 9 cajas q contenían 5 vasos

EJEMPLO: 4x3=12 + 9x5=45

12+45=57

esa es la respuesta y te puse el ejemplo para q le entiendas más

48 is what percent of 64?

Answers

Answer:

Answer is 75.

Step-by-step explanation:

I hope it's helpful!

can someone solve this

Answers

the answer is 5r^2 -1
hope this helps !

5 cups equals how many pints and cups

Answers

Answer:

5 cups is 2.5 pts

Step-by-step explanation:

cups pts

5.00 2.5

5.01        2.505

5.02 2.51

5.03 2.515

Hello immediately please




Sandy's aunt lives 250 miles away. If Sandy drives 55
ph, how long will it take her to get to her aunt's house?
A3 hours
B. 5 hours
C. 4.5 hours
D 6 hours

Answers

C. 4.5 hours Hope this is helpful

Place an X in the table to show the percent decrease from the first number to the second number 12% 15% 150 to 132 275 to 242 300 to 255​

Answers

Answer:

hi

Step-by-step explanation:

hi

Find the perimeter of an equilateral triangle that has an attitude of 25 inches. Round your answer to the nearest 10

Answers

9514 1404 393

Answer:

  86.6 inches

Step-by-step explanation:

The side length of an equilateral triangle is 2/√3 times the altitude. So, the perimeter is ...

  P = 3s = 3(25)(2/√3) = 50√3 ≈ 86.6 . . . . inches

what is bigger 6/5 or 4/5?

Answers

Answer:

6/5 is bigger

Step-by-step explanation:

6/5 simplifies to 1 and 1/5 which is greater than just 4/5

Answer:

6/5, the numerator is the number that determins the amount that is an improper fraction actually, the proper way of writing it is 1 and 1/5 but both are acceptable. most teachers prefer it this was though.

Step-by-step explanation:

hope this helps

Enrique has $50 in his lunch account and spends $5 per day from the account. Maya has $46 in her lunch account and spends $4 per day from the account. Which equations model the situation?


50 – 5x = y and 46 – 4x = y

5x + 50 = y and 4x + 46 = y

5x – 50 = y and 4x – 46 = y

5 – 50x = y and 4 – 46x = y

Answers

Answer:

50 – 5x = y and 46 – 4x = y, is your answer

A rectangular playground has an area of 3,394 square meters. If the width of the playground is 32 meters, find the length.

Answers

Answer:

106 square

Step-by-step explanation:

Area of rectangle = 3,394 square meters

Width = 32 meters

Length = ?

Area of rectangle = Length * Weight

3,394 = 32 * x

x = 3,394 /32

x = 106.0625

x = 106

The Length is 106 square

25 over 50 as a reduced fraction

Answers

Answer:

1/2

Step-by-step explanation:

i think that is right

i hope so

have a good day hope that is correct

Answer:

1/2

Step-by-step explanation:

25 is half of 50

What is 38 times 4 plus the square root of 30

Answers

Answer:157.47722557

Step-by-step explanation:

!BRAINLIST! please help me with this QUICK!

Answers

Answer:

Corresponding

Co-interior

None

Alternate exterior

Alternate interior

Corresponding


The senior classes at High School A and High School B planned separate
trips to the state fair. The senior class at High School A rented and filled 3
vans and 13 buses with 628 students. High School B rented and filled 9
vans and 2 buses with 182 students. Every van had the same number of
students in it as did the buses. Find the number of students in each van
and in each bus. *
Van: 10, Bus: 46
Van: 15, Bus: 70
Van: 4, Bus: 22
Van: 46, Bus: 10

Answers

Answer: Van: 10, Bus: 46

Step-by-step explanation:

Let the number of students in each van be represented by v.

Let the number of students in each bus be represented by b.

The question given can be formed into an equation as:

3v + 13b = 628 ...... i

9v + 2b = 182 ......... ii

Multply equation i by 9

Multiply equation ii by 3

27v + 117b = 5652 ........ iii

27v + 6b = 546 ....... iv

Subtract iv from iii

111b = 5106

b = 5106/111

b = 46

Bus = 46

Recall that 9v + 2b = 182

9v + 2(46) = 182

9v + 92 = 182

9v = 182 - 92

9v = 90

v = 90/9

v = 10

Van = 10

Write an recursive formula for an, the nth term of the sequence 7, 10, 13,

Answers

Answer:

What's the nth term for 7,10,13,16? The nth term = 3n + 4. The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d. Therefore in your sequence, the difference d = 3, and the first term a(1) = 7.

Step-by-step explanation:

Ali Clara and Shane raise money for new books for the school library all Ellie rays 20% more than Clara and $58 more than Shan Claries 1/4 times

Answers

Answer:

a. $435

b. 33.33%

Step-by-step explanation:

P.S - The exact question is -

Let Clara raised money = x

As given,

Ali raised 20% more than Clara

⇒Ali raised money =  [tex]x + \frac{20}{100}x = x + \frac{1}{5} x = \frac{6}{5}x[/tex]

Also given,

Clara raised [tex]\frac{1}{4}[/tex] times more than Shan

Clara raised money = Shan raise money + [tex]\frac{1}{4}[/tex] times shan raired money

⇒Clara raised money = [tex]\frac{5}{4}[/tex]  Shan raised money

⇒Shan raised money =  [tex]\frac{4}{5}[/tex] times Clara

⇒Shan raised money = [tex]\frac{4}{5}[/tex] x

As given,

Ali raised $58 more than shan

⇒[tex]\frac{6}{5}x = \frac{4}{5}x + 58[/tex]

⇒[tex]\frac{6}{5}x -\frac{4}{5} x = 58[/tex]

⇒[tex]\frac{2}{5}x = 58[/tex]

⇒x = (29)(5) = $145

∴ we get

Clara raised money = x = $145

Ali raised money = [tex]\frac{6}{5}x[/tex] = $174

Shan raised money =[tex]\frac{4}{5}[/tex] x  = $116

a.)

Total raised money = $145 + 174 + 116 = $435

b.)

Percentage of money Clara raised = [tex]\frac{145}{435}[/tex]×100% = [tex]\frac{1}{3}[/tex]×100% = 33.33%

You buy 3 shirts and 1 pair of pants for $32Your friend buys 2 shirts and 3 pairs of pants for $40.

Answers

Answer:

Each shirt costs $8 and each pair of pants costs $8

Step-by-step explanation:

3+1=4

32/4=8

2+3=5

40/5=8

Can someone tell me what this is really quick

Answers

Answer:

There were no more than 15 fruit snacks in the bag

Step-by-step explanation:

I hope this helps!

5(4x - 1.5x) + 12 = 4x - 2

Answers

Answer:

-1.647058824

Step-by-step explanation:

search on googl

Answer:

x=0.6072

Step-by-step explanation:

open bracket

20x-7.5x-4x+12=4x-2

20x-7.5x-4x=-12-2

8.5x=-14

x=0.6072

what is the answer. (11 x -8) + 7(x - 1) can you explain the answer in a sensible way. Thank you
Algebra question

Answers

Answer:

11x-8+7x-7

11x+7x-8-7

18x-15

Step-by-step explanation:

10 this dodge is good

1. Um prêmio em dinheiro foi dividido entre 3
pessoas: a primeira recebeu 1/4 do valor do
prêmio a segunda recebeu 1/3 e a terceira
ganhou R$ 1000,00. Então, o valor desse prêmio,
em reais, era de:
a) 2400,00
b) 2200,00
c) 2100,00
d) 1800,00​

Answers

I think the answer is b

Can someone please help me ASAP

Answers

Answer:

Look down below!

Step-by-step explanation:

Fist, make your inequality:

-x + 5y > -10

5y > x - 10

y = .2x - 2

Now, plug in any value of x to find y!

Ex:  x = 5...

y = .2 (5) - 2

y = -1

Your first coordinate could be (5, -1)

Hope this helps!

2x - 5y = - 15
I need to rewrite it in the terms of “y” an I need the steps on how to do it thanks

Answers

Answer:

2x+15=5y

y=(2x+15)/5

hope this helps

Answer:

[tex]y = \frac{2}{5} x + 3[/tex]

Step-by-step explanation:

2x - 5y = -15

Firstly, you will need to isolate the variable you are solving for, in this case, y.

2x - 2x - 5y = -15 - 2x

-5y = -15 - 2x

-5y/-5 = -15/-5 - 2x/-5

A negative divided or multiplied by a negative is positive.

[tex]y = 3 + \frac{2}{5} x[/tex]

Rearrange.

[tex]y = \frac{2}{5} x +3[/tex]

Kira drove 522 miles in 9 hours.
At the same rate, how many miles would she drive in 7 hours?

Answers

GIven:522 miles in 9 hours.

So if we divide 522 by 9 we get that Kira drives 58 miles per hour.

Now in 7 hours Kira just drives 7 times that which means Kira drives.

58*7=406 miles

Hope this helped!

Step-by-step explanation:

Distance travelled in 9 hours = 522 miles

Distance travelled in 1 hour = 522/9 = 58 miles

Distance travelled in 7 hours = 7 * 58 = 406 miles

Hope it will help :)

HELP PELASE ASAPppppp

Answers

Answer:D

Step-by-step explanation:

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