A polynomial function has a zero at x = 1 with a multiplicity of 3 and a zero at x = -2 with a multiplicity of 1. The y – intercept for the function is (0, -8). Write an equation for this polynomial.

Answers

Answer 1

Answer:

  f(x) = 4(x -1)^3·(x +2)

Step-by-step explanation:

Each root x=p indicates the function has a factor (x -p). The factor will be repeated according to the multiplicity of the root.

  f(x) = a(x -1)^3·(x +2)

  f(0) = a(-1)^3·2 = -2a = -8   ⇒   a = 4

The factored form of the equation is ...

  f(x) = 4(x -1)^3·(x +2)

A Polynomial Function Has A Zero At X = 1 With A Multiplicity Of 3 And A Zero At X = -2 With A Multiplicity

Related Questions

1. There are 2 hiking trails in Watkins Park. The Spicebush Trail is 2.7 miles and the Loop Trail is 1.7 miles. If you hiked both trails, how many miles would you walk?

2. On your hike, you brought 1.7 pounds of almond trail mix and 1.4 pounds of cashew trail mix. How much trail mix do you have all together?

3. At the end of the hike you still had 2 pounds of trail mix left. How much trail mix did you at on the hike?

4. Solve these decimal addition and subtraction problems with your base-10 blocks or a number line:

5.3 + 7.4



2.45 + 3.95



2.5 – 1.3



4.12 – 2.80

Answers

1. Add 2.7 and 1.7 together to discover the total amount

2.7 + 1.7 = 4.4

You would walk 4.4 miles if you walked both trials.  

2. Add the amounts of both trail mixes together

1.7 + 1.4 = 3.1

There were 3.1 pounds of trail mix brought on the hiking trip

3. Subtract answer from 2 by 2 and recieve the answer for this question

3.1 - 2 = 1.1

There were 1.1 pounds of trail mix eaten on this hiking trip

4. Answers:

12.7

6.40

1.2

1.32

Pls help asap thank you

Answers

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….

Simplify: -6(x + 4) ​

Answers

Answer:

A) -10x - 24

Step-by-step explanation:

1. To simplify this expression, we apply the distributive property.

[tex](-6)(\frac{5}{3}x)+(-6)(4)[/tex] [tex]\frac{-30}{3}x-24[/tex] [tex]-10x - 24[/tex]

Therefore, the answer is A) -10x - 24.

Answer:

A) -10x-24

Step-by-step explanation:

[tex]-6(\frac{5}{3} x+4)=-6\times\frac{5}{3} x+4\times(-6)=-10x-24[/tex]

[tex]a(b+c)=ab+ac[/tex]

Find the slope of an equation f(x)=-3sqrt(x) at the point (9,-9)

Answers

Answer:

Slope is [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=-3\sqrt{x}[/tex]

Find the derivative using the product rule:

[tex]f'(x)=\frac{d}{dx}(-3)*\sqrt{x}+-3*\frac{d}{dx}\sqrt{x}[/tex]

[tex]f'(x)=-3*\frac{1}{2\sqrt{x}}[/tex]

[tex]f'(x)=\frac{-3}{2\sqrt{x}}[/tex]

Plug in coordinates to find slope at that point:

[tex]f'(9)=\frac{-3}{2\sqrt{9}}=\frac{-3}{2(3)}=\frac{-3}{6}=-\frac{1}{2}[/tex]

Therefore, the slope of the equation at the point (9,-9) is [tex]-\frac{1}{2}[/tex].

Answer:

Step-by-step explanation:

f(x) = -3√x

f'(x) = -1.5/√x

f'(x) = -1.5/√9

f'(x) = -1.5/3

f'(x) = -0.5

The segments shown below could form a triangle.
A. True
B. False

Answers

False

When completing something like this, the Phythagoream Therom comes into focus. It states that:

A^2 + B^2 = C^2

According to my calculations, A^2 + B^2 = 130 whereas C^2 is 320. This is incorrect and therefore is false.

15 POINTS AND BRANLIEST

Find the area of the figures below

Answers

[tex]Area = \frac{(6 + 10) \times 7}{2} \\ [/tex]

[tex]Area = \frac{16 \times 7}{2} \\ [/tex]

[tex]Area = \frac{2 \times 8 \times 7}{2} \\ [/tex]

[tex]Area = 8 \times 7[/tex]

[tex]Area = 56 \: \: {in}^{2} [/tex]

Answer:

Area: [tex]56in^2[/tex]

Step-by-step explanation:

The formula for the area of a trapezoid is:

[tex]A = \frac{a+b}{2}h[/tex]

so replacing with the given values we get:

[tex]a = 6in\\h = 7in\\b = 10in[/tex]

[tex]A = \frac{6in+10in}{2}7in = 56in^2[/tex]

So our final answer is [tex]56in^2[/tex]

references on kinetic energy will give brainlist! in own words NO PLARISM!!!!!!!!!!!

Answers

Answer:

See below

Step-by-step explanation:

Kinetic energy is basically energy that an object has while it moves. For example, a ball rolling down a hill will have kinetic energy as it rolls, or a bullet shot out of a gun.

Kinetic energy is the energy acting on a moving object for example a ball when you roll it then gets kinetic energy sorry if this is wrong

Graph (y=-2x+5)

Plz have it answered in 5 min.
It is on Khan Academy

Answers

Answer:

eeeeee

Step-by-step explanation:

eeeeeeee

graph the function
f (x) = |x + 2| - 5

Answers

Answer:

View the link for the answer

4. If Il k and k // m, then

Answers

if

t // kk // mthen t // m is correct answer

bcaz according to property of transitivity

An example of a transitive law is “If a is equal to b and b is equal to c, then a is equal to c.” There are transitive laws for some relations but not for others. A transitive relation is one that holds between a and c if it also holds between a and b and between b and c for any substitution of objects for a, b, and c.

Hello, can you help me? I don't speak English, I speak Spanish and I don't understand anything. I use a translator to communicate, I give brainliest !!

Answers

1. Cuando encendí la radio, las noticias .......... (terminar)
2. El centro comercial ....... (no / abierto) aún cuando llegué
3. ……………. (le dices) la verdad a tus padres?
4. El señor Palmer .......... (no / hablar) ningún chino antes de mudarse a pekín

-5+i/2i ????
please help!

Answers

[tex]-5+\frac{i}{2i} = -5+\frac{1}{2}=-\frac{9}{2} =-4.5[/tex]

ok done. Thank to me :>

Help me please Asap!

Answers

Answer:

1/10

Step-by-step explanation:

The permutation only occurs once during the 10 trials hence 1/10

The cost of a bag of fruits is proportional to the number of pounds. The cost for 1 ⅕ pound of fruit is $6.54. How much does a pound of fruits cost? Write an equation based on your answer.

Answers

From the computation done, the cost of the pound of fruits based on the information will be $5.45.

From the information given, it's stated that the cost of a bag of fruits is proportional to the number of pounds and that cost for 1 ⅕ pound of fruit is $6.54.

Therefore, to calculate the cost of a pound of fruit, this will be:

= 6.54 / 1 ⅕

= 6.54 / 1.2

= $5.45

Therefore, the pound of fruits cost $5.45.

Learn more about equations on:

https://brainly.com/question/13763238

The Greens bought a condo for $110,000 in 2005. If its value appreciates at 6%
per year, what will the value be in 2012?

Answers

Answer:

Use the A = p(1 + r/100)^t.  A is the amount after appreciation, p is the principal or starting value, r is the interest rate, and t is the time in years.

Step-by-step explanation:

What is the sum of (X^2-1+7-3x-x2)(x)

Answers

I think you mean product- that would be:
x^3-5x^2+6x
Step by step solution:
(x^2-1+7-3x-2x)(x)
x^3-x+7x-3x^2-2x^2
x^3+6x-5x^2
The right way to write it is the power of x decreasing so it would be x^3-5x^2+6x

help i need help look at question

Answers

Answer:

A

Step-by-step explanation:

because 12 is the smallest number/angle

Given
f(x) = 3x^2+ 2x – 1 and g(x) =4x- 5find (gof)(-2)

Answers

Answer:

27

Step-by-step explanation:

yeah-ya......... right?

answer part B and yeaa don’t mind my answers

Answers

Answer:

you are correct

Step-by-step explanation:

Ik you like math just like me please help me

Answers

Answer:

First Graph: 24, 48, 25, 52, 49, 51, 100

Second Graph: 24, 40, 53, 64, 26

Step-by-step explanation:

I'm honestly not very confident in my answer for the first graph because it greatly varies.

Correct me if I am incorrect.

SOSSSS:

Find all the values of x between 0 and 4 for which 3 cos(2x - 1) = 2

Answers

Answer:

0.29 π(52.5°)

Step-by-step explanation: here is the explanation

Find the value of x .
K
M
(2x – 10)
(2x + 400°
N

Answers

Answer:

the angles all sum up to 360. is a circle therefore x = 60

Step-by-step explanation:

90 + 2x - 10 + 2x + 40 = 360

120 + 4x = 360

4x = 360 - 120

4x = 240

x = 60

Question 4 (Essay Worth 1 points)
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of 4








Help please

Answers

Answer:

2

Step-by-step explanation:

please HELPPP!!!!!!!!!!!!!!!!

Answers

Answer:

40,44,48,52

Step-by-step explanation:

These are multiples of 4 because 4 can be multiplied into all of them like

4x11=44

4x10=40

4x12=48

4x13=52

Can someone help me on this math problem please

Answers

Answer:

  CPCTC

Step-by-step explanation:

In each case the half-angles resulting from bisecting the angles are corresponding parts of congruent triangles, hence congruent themselves. (CPCTC)

When a segment divides an angle into two congruent parts, it is an angle bisector.

HELP ME ASAP!!!
Question 3(Multiple Choice Worth 5 points)
(04.04 MC)

If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?

5 hours
15 hours
18 hours
45 hours

Answers

Answer:

45 hour GIVE BRAINLY PLZ

What is the slope please help you’ll be marked brainliest TYSMMMMMM

Answers

Step-by-step explanation:

the slope of a line is the ratio "y coordinate change / x coordinate change" when going from one point to another.

I think I can recognize two good points with integer coordinates :

(-30, -90) and (70, 70)

x changes by +100 (from -30 to 70)

y changes by +160 (from -90 to 70)

the slope is then +160/+100 = 16/10 = 8/5

ANSWER FAST!!

Write the equation of a line that has a slope of -2/7 and passes through the point (5,-6)

Answers

Answer:

y = -2/7x - 32/7

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

The slope is -2/7

y = -2/7 x+b

We know a point on the line is (5,-6)

Substitute this into the equation

-6 = -2/7(5) +b

-6 = -10/7+b

Add 10/7 to each side

-6 +10/7 = b

-42/7 + 10/7 = b

-32/7 = b

y = -2/7x  -32/7


help what’s the answer

Answers

Answer: A. Vertical angles

Step-by-step explanation:

They are vertically opposite angles.

Correct me if I am incorrect.

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).


Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)

Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are related. (4 points)

Answers

The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions

The correct responses are;

Part A: The starting point is in the second quadrant and the finishing point is in the fourth quadrant.Part B: The starting point and the check point are on different quadrant. Both points are on the same horizontal line.

Reasons:

The location of the start point of the race = (-5.3, 1)

Location of the finishing point = (1, -5.3)

Part A: The signs of the x and y-values in the quadrants are;

[tex]\begin{tabular}{|cc|c|}Quad II, x -ve, y +ve&&Quad I, x, and y are +ve\\&&\\Quad III, x -ve, y -ve&&Quad IV, x +ve, y -ve\end{array}\right][/tex]

The coordinates of the starting point is (-5.3, 1), therefore, given that the x-

coordinate is negative and the y-coordinate is positive, the quadrant of the

starting point is quadrant II (the second quadrant).

The quadrant of the starting point is the second quadrant.

The coordinates of the finishing point is (1, -5.3), the x-value is positive and

the y-value is negative, which indicates that the quadrant of the finishing

point is quadrant IV (the fourth quadrant).

The quadrant of the finishing point is the fourth quadrant.

Part B: The location of the checkpoint is; (5.3, 1)

The difference is that the x-value of the checkpoint is positive while the x-value of the starting point is negative, and they are therefore on different quadrants.

The similarity is that, the magnitude of the x, and y values of the coordinates of the check point and the starting point are the same. Therefore, the checkpoint and the starting point are on the same horizontal line.

Learn more about the Cartesian coordinate plane here:

https://brainly.com/question/17877300

https://brainly.com/question/16177011

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