Write the factored form of the third-degree polynomial
function that has a positive leading coefficient and a
zero at x= -3 with a multiplicity of 3.

Answers

Answer 1

Answer:

[tex]a(x+3)^3, a \neq 0[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Zero at x= -3 with a multiplicity of 3.

This means that:

[tex]x_1 = x_2 = x_3 = -3[/tex]

So

[tex]a(x - (-3))*(x - (-3))*(x-(-3)) = a(x+3)(x+3)(x+3) = a(x+3)^3[/tex]

Positive leading coefficient

[tex]a(x+3)^3, a \neq 0[/tex]


Related Questions

Can you help me here is the image

Answers

Answer:

C. y= 1.5x

Step-by-step explanation:

Everytime multiply the first number 1.5 (y) by the X variables it gives you another Y variable. For example, 1.5 times 2 = 3. 1.5 times 3 = 4.5. And 1.5 times 4 = 6!

The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45

B.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45

C.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45

D.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45

Answers

The answer is gonna be B. Sorry if I’m late :((

Answer:

10, 15, 15, 20, 20, 20, 30, 30, 45, 45

Step-by-step explanation:

C С 154 -Y Х 2 3 5 w 4 6 7 Z D​

Answers

Answer:

m<1 = 26°

m<2 = 154°

m<3 = 26°

m<4 = 26°

m<5 = 154°

m<6 = 154°

m<7 = 26°

Step-by-step explanation:

What is required was not stated, however, let's find the value of every angle labelled in this diagram.

✔️m<1 = 180° - 154° (linear pair theorem)

m<1 = 26°

✔️m<2 = 154° (vertical angles theorem)

m<2 = 154°

✔️m<3 = m<1 (vertical angles theorem)

m<3 = 26° (substitution)

✔️m<4 = m<3 (alternate interior angles theorem)

m<4 = 26° (substitution)

✔️m<5 = m<2 (alternate interior angles theorem)

m<5 = 154° (substitution)

✔️m<6 = m<5 (vertical angles theorem)

m<6 = 154° (substitution)

✔️m<7 = m<4 (vertical angles theorem)

m<7 = 26° (substitution)

Branliest to correct answer explain how you solved it please

Answers

Answer:

0.03

Step-by-step explanation:

.25% for the tails times .5 for the odd number on the dice times 0.25 for the clubs because it is a 13/52 chance you will pull a clubs and put that all together and you get 0.03125 simplified and you get 0.03

Answer:

0.03

Step-by-step explanation:

The probability of landing on 1 tail is 1/2, since it is 1 out of 2 options, a tail or a head. If you want the probability of two tails, it would be 1/2 * 1/2 = 1/4.

Next we can take the probability of rolling an odd number on a fair die. A fair die has 3 even numbers: 2,4,6; and 3 odd numbers: 1,3,5. Since 3/6 or 1/2 of the numbers are odd, there is a 50% chance that it would roll an odd number.

Finally, drawing a club out of standard deck of cards is 1/4, since there are 4 choices: hearts, spades, clubs, or diamonds. You now get the idea, and you can figure out that the probability would be 1/4.

Our last step is to multiply all the answers we get, since to get all of them at once would lower your chances. 1/4 * 1/2 * 1/4 = 1/32 = 0.03125; rounded to 0.03.

Help me and if the answer is correct and neat I will give you brainliest. Its about line plots. ​

Answers

Answer:

Step-by-step explanation:

Algebra 2

Help me pls

Answers

Answer:

log (150)=2.176091259

Answer:

log104=2.107

log150=2.176

log1025=3.011

log10570=4.024

log7=0.845

Step-by-step explanation:

To solve these questions, you can just plug them into your calculator:

log104=2.107033339≈2.107

log150=2.176091259≈2.176

log1025=3.010723865≈3.011

log10570=4.024074987≈4.024

log7=0.84509804≈0.845

Please help❗️❗️ Picture is above

Answers

Answer:

Step-by-step explanation:

The angles are equal to each other (vertical angles)

Hence:

9y + 7 = 2y + 98

9y - 2y = 98 - 7 (Minus both sides by 2y and 7)

7y = 91 (Simplify)

y = 13 (Divide both sides by 7)

y
45°
X 100°
y = [ ? 1°

Answers

Step-by-step explanation:

x+100°=180°{being straight angle}

x=180-100

x=80°

again,

45°+x+y=180°{sum of angle of triangle}

45+80+y=180

y=180-125°

y=55°

hope it helps.

Which is more 7/10 or $0.75?

Answers

Answer:

I think $0.75

Step-by-step explanation:

$0.75 because 7/10 is 0.7

Both are equal I think

Identify the equation as either Linear, Quadratic, or Exponential: *
f (x) = 2x
A. Linear
B. Quadratic
C. Exponential

Answers

Answer:

It's A.) linear

Step-by-step explanation:

The power of x is equal to one, making it linear [ f(x) = 2x^1 ]

I'm extra lonely gotta be 13-16(age) don't be sus thats it

Answers

Answer:

ok

Step-by-step explanation:

what do you want me to do now


For estimation purposes, the shape formed by the sectors is considered to be a parallelogram. Which statement is true?

A.The height is approximately r units, and the base length is approximately mr units.
B.The height is approximately r units, and the base length is approximately 2 units.
C.The height is approximately r2 units, and the base length is approximately it units.
D.The height is approximately 2r units, and the base length is approximately it units.

Answers

The answer is B) hope it helps!

Answer:

Step-by-step explanation: B

Is art and science different or the same? Explain.

Answers

Answer:

There are two paramount differences between art and science. The first is that art is subjective while science is objective. The second is that art expresses knowledge, most often in the form of subjective representation, while science is the system of acquiring knowledge.

Answer:

There are two differences

Step-by-step explanation:

Art expresses knowledge, most often in the form of subjective representation, while science is the system of acquiring knowledge.

Which expressions are equivalent to 8.9 x + 6.2 + 8.7? Check all that apply.
A.9 x + 6 + 9
B. 8.9 + 6.2 + 8.7 x
C. 8.9 x + 8.7 + 6.2
D. 8.7 + 8.9 x + 6.2
E. 6.2 + 8.7 + 8.9
F.6.2 + 8.7 + 8.9 x
G.8.9 + 6.2 x + 8.7​

Answers

Answer:

option c.

8.9x+8.7+6.2

option f.

6.2+8.7+8.9x

simplify by distributive property 8-3(7m-3p)​

Answers

56m-21m+9p-24p

35m-15p

Draw arches over the numbers and just multiply the values. The arches help keep track of it.

hi







The fair spinner shown in the diagram above is spun.
Work out the probability of getting a factor of 12.
Give your answer in its simplest form.

Answers

Answer:

hi.a..a.q.q.q.q..w.w.q.

Find the value of 5⁰ X 7⁰ X 3⁰

plz help asap​

Answers

Answer:

5⁰ × 7⁰ × 3⁰ = 1

Step-by-step explanation:

5⁰ × 7⁰ × 3⁰ = ?

5⁰ = 1

7⁰ = 1

3⁰ = 1

1 × 1 × 1 = 1

help me
make X the subject of the formula
3(c - bx) = 18
make X the subject

Answers

Answer:

X is equal to c-9 over b as required

Answer:

[tex]c =\frac{18 + 3 b x}{3}[/tex]

Step-by-step explanation:

3 ( c - b x ) = 18

Solve the brackets.

3c - 3 b x = 18

Take -3 b x to the right side.

3c = 18 + 3 b x

Divide both sides by 3.

[tex]c =\frac{18 + 3 b x}{3}[/tex]

This is really urgent!!!

Answers

Step-by-step explanation:

=4(x-1)-3(2x-5)

=4x-4-6x+16

=4x-6x-4+16

= -2x+12

hope it helps.

Answer:

2x + 11

1.) Distribute

4(x-1)-3(2x-5)

4x -4 -3 (2x-5)

2.) Connect like terms

4x -4 -6x + 15

-2x -4 +15

3.) Calculate

-2x + 11

Use the slope formula to find the slope of the line through the points (2,1) and (8,7)

Answers

Answer:

m = 1

Step-by-step explanation:

(2,1) and (8,7)

m = (y2-y1)/(x2-x1)

m=(7-1)/(8-2)

m=6/6

m = 1

You have the opportunity to purchase a MLB Franchise. The probability distribution of expected returns for the franchise is as follows:
Probability Rate of Return
0.1 –20%
0.2 0%
0.4 7%
0.2 15%
0.1 25%
The expected rate of return for your investment in the MLB Franchise is____Expected rate of return = ∑Piki. The standard deviation is_____.

Answers

Answer:

The expected rate of return is 6.3%.

The standard deviation is of 11.29%.

Step-by-step explanation:

Expected rate of return

Multiply each rate by its probability. So

[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]

The expected rate of return is 6.3%.

Standard deviation:

Square root of the difference squared between each value and the mean, multiplied by the probability. So

[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]

The standard deviation is of 11.29%.

Which number produces a rational number when added to 1/5

Answers

Answer: 2/3

Step-by-step explanation:

Answer: -2/3

Step-by-step explanation:

Hope This Help?

Please Mark Me brainly!

How many cuboids of size 4m x 3cm X 2cm. Can be made from a cuboid of size 12cm x 9cm x 6 cm ?​

Answers

Answer:

Lets find volume of smaller cubiod first.

Volume = l x b x h = 24 cm³

Again,

Lets find volume of bigger cuboid.

Volume = l x b x h = 648cm³

Now,

The no. of cuboids that can be made from the bigger cuboid is

= Volume of bigger cuboid / volume of smaller cuboid

= 648/ 24

= 27 cuboids

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS

Answers

Answer: 125.66

Step-by-step explanation: my explanation is i searched it

How many groups of 1/4 are in 3. Draw a tale diagram

Answers

Answer:

12.

Step-by-step explanation:

12 groups of 1/4 are in 3

Name and find the measure of each angle in the figure.


HELP PLEASE

Answers

Is the algebra, if so what type?

Use the unit price of gasoline at both gas stations to determine which gas station charges more for gasoline (gallons). Be sure to include the unit prices in your answer. Show or explain your work.

Answers

Answer: Gas station P

Step-by-step explanation:

When you plot gas station M on the graph all the values are under the line meaning it gas at station M costs less than station G.

Gas station P charges more than gas station M.

What is unit rate?

A unit rate means a rate for one of something.

Given is a table and a graph,

When we compare each, we get,

Gas station P is charging $20 for 5 gallons, and gas station M charges $19 for same.

Hence, gas station P charges more than gas station M.

For more references on unit rate, click;

https://brainly.com/question/11258929

#SPJ2

Please solve this for me

Answers

Given:

A figure of a right angle triangle.

To find:

The value of x°.

Solution:

The given triangle is a right angle triangle. So, the measure of one angle is 90 degrees.

The measure of other two angles are 3x° and 7x°.

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees.

Using the angle sum property of the triangle, we get

[tex]90^\circ+3x^\circ+7x^\circ=180^\circ[/tex]

[tex]10x^\circ=180^\circ-90^\circ[/tex]

[tex]10x^\circ=90^\circ[/tex]

Divide both sides by 10.

[tex]x^\circ=\dfrac{90^\circ}{9}[/tex]

[tex]x^\circ=10^\circ[/tex]

Therefore, the value of x° is equal to 10°.

Identify the vertex of the graph. Tell whether it is a minimum or a maximum.
The vertex needs to be in ordered pair.

Answers

Answer:

Vertex = (-1, 2)  

Maximum

Step-by-step explanation:  

The middle point of the graph is at x coordinate -1 and the point is at the top while the graph slopes down so it is a maximum point and not a minimum point.

Please mark Brainliest if this was helpful :)

Zynga and Walmart which balance sheet items does the two have in common

Answers

need more context pls
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