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3 years ago

How to find the multiplicity of a zero of a polynomial function?

1 answer:

3 0

<span>The multiplicity of a zero of a polynomial function is how many times a particular number is a zero for a given polynomial.

For example, in the polynomial function $f(x)=x(x+4)^2(x-2)^3$ , the zeros are 0 with a multiplicity of 1, -4 with a multiplicity of 2, and 2 with a multiplicity of 3.

Although this polynomial has only three zeros, we say that it has six zeros (or degree of 6) counting the <span>multiplicities.</span></span>

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Ruth wants to buy a skateboard for $44. She has $100 in her account. She spent $11.36 to buy stationary. She also wants to buy s

djverab [1.8K]

Given :

Ruth wants to buy a skateboard for $44.

She has $100 in her account. She spent $11.36 to buy stationary.

She also wants to buy some comic books for $3.72 each.

To Find :

The maximum number of comic books, n, that Ruth can buy so that she has enough money left to buy the skateboard.

Solution :

Money left after buying skateboard and stationary is :

Money left = $(100 - 11.36 - 44)

Money left = $44.64

Number of comic she can buy is :

$n = \dfrac{44.64}{3.72}\\\\n = 12$

Therefore, she can buy a maximum of 12 books.

Hence, this is the required solution.

4 0

3 years ago

Read 2 more answers

"Cheetahs are the fastest mammals in the world. The can reach speeds of 70 miles per hour. At this speed, how long would it take

goblinko [34]

17=70h
Divide each side by 70
It would be 14 mins and 33 seconds

7 0

3 years ago

Subtraction equation with a difference of 54.57

hodyreva [135]

148.57-94 would equal 54.57

5 0

3 years ago

Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangl

emmainna [20.7K]

Area of a triangle:
A (triangle )= 4 · 6 / 2 = 12 ft²
150 - 12 = 138 ft² ( the maximum area of the rectangle )
L = ?
W = 6 ft
A ( rectangle ) = L · W
L · 6 = 138
L = 138 : 6 = 23 ft.
Answer: the maximum length of the base of the rectangle he can build is 23 ft.

6 0

3 years ago

Read 2 more answers

I only need 12 and 17, first good response i will give brainliest please i’m desperate

Mumz [18]

Answer:

$\textsf{12.} \quad y = 6x - 5$

$\textsf{17.} \quad y=-\dfrac{1}{4}x-2$

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

Let (x₁, y₁) = (2, 7)
Let (x₂, y₂) = (3, 13)

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6$

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

$\implies y-y_1=m(x-x_1)$

$\implies y-7=6(x-2)$

$\implies y-7=6x-12$

$\implies y=6x-5$

<h3><u>Question 17</u></h3>

Given:

f(4) = 3
f(0) = -2

Therefore, two points on the line are:

(4, -3)
(0, -2)

The y-intercept is the y-value when x = 0.

Therefore, the y-intercept of the line is -2.

$\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}$