Which of the following describes the end behavior of the function ƒ(x) = –5x3 + 3x2 + x – 9?
Question 4 options:

A)

As x → –∞, y → +∞ and as x → +∞, y → –∞

B)

As x → –∞, y → +∞ and as x → +∞, y → +∞

C)

As x → –∞, y → –∞ and as x → +∞, y → –∞

D)

As x → –∞, y → –∞ and as x → +∞, y → +∞
Question 5 (5 points)
What are the real solutions to the equation 4x3 – x2 – 4x + 1 = 0?
Question 5 options:

A)

x = –1, 1

B)

x = –1, 1∕4, 1

C)

x = –1, –1∕4, 1

D)

x = –1, 0, 1∕4
Question 6 (5 points)
Find the zeros of ƒ(x) = x3 + 6x2 + 8x.
Question 6 options:

A)

x = 0, 2, 4

B)

x = –2, –4

C)

x = 2, 4

D)

x = 0, –2, –4
Question 7 (5 points)
Determine if the function ƒ(x) = 3x5 – 9 is even, odd, or neither.
Question 7 options:

A)

Odd

B)

Not enough information given

C)

Neither odd nor even

D)

Even
Question 8 (5 points)
image

The graph is that of a fourth-degree polynomial function. Which of the following correctly shows three factors of the function?
Question 8 options:

A)

(x – 3)(x + 2)(x + 5)

B)

(x + 2)(x – 5)

C)

(x – 3)(x + 5)

D)

(x + 3)(x – 2)(x – 5)
Question 9 (5 points)
For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift
Question 9 options:

A)

left 2 and downward –3.

B)

right 2 and upward 3.

C)

left 3 and downward 2.

D)

right 3 and upward 2.
Question 10 (5 points)
Which of these is a factor of x3 – 3x2 ?
Question 10 options:

A)

x + 2

B)

x – 3

C)

x – 2

D)

x + 3

The solutions to the functions are

a) x → –∞, y → +∞ and as x → +∞, y → –∞

b) The real solutions to the equation 4x³ - x² - 4x + 1 = 0 is x = -1 , 1 , 1/4

c) The zeros of the function f ( x ) = x³ + 6x² + 8x is x = 0, -2, -4

d) The function is odd

e) The three factors of the function are (x - 3)(x + 2)(x + 5)

f) The translation f (x - 2) + 3 means the function will shift right 2 and upward 3

g) The factor of the function is a = x - 3

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

a)

Let the function be represented as f ( x )

Now , the value of f ( x ) = -5x³ + 3x² + x - 9

The end behavior of the function is given as

As x → –∞, y → +∞ and as x → +∞, y → –∞

b)

Let the function be represented as f ( x )

Now , the value of f ( x ) = 4x³ - x² - 4x + 1

On factorizing the equation , we get

f ( x ) = x² ( 4x - 1 ) - 1 ( 4x - 1 )

f ( x ) = ( x² - 1 ) ( 4x - 1 )

Taking the common factors of the expression , we get

f ( x ) = ( x + 1 ) ( x - 1 ) ( 4x - 1 )

f ( x ) = ( x - 1 ) ( x + 1 ) ( x - 1/4 )

Therefore , the solutions of the equation are x = -1 , 1 , 1/4

c)

Let the function be represented as f ( x )

Now , the value of f ( x ) = x³ + 6x² + 8x

On factorizing the equation , we get

f ( x ) = x ( x² + 6x + 8 )

Taking the common factors of the expression , we get

f ( x ) = x ( x + 4 ) ( x + 2 )

So , the solution of the function are x = 0, -2, -4

d)

The given function f ( x ) = 3x⁵ - 9 is neither odd nor even function

e)

The fourth degree polynomial function is A = ( x + 3 ) ( x - 2 ) ( x - 5 )

f)

Let the function be f ( x )

Now , the translated function is g ( x ) = f ( x - 2 ) + 3

The translation of f (x - 2) + 3 means the function will shift right 2 and upward 3

g)

The factors of the function f ( x ) = x³ - 3x² is f ( x ) = x² ( x - 3 )

Hence , the functions are solved and factorized

To learn more about factorizing click :

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Which equation describes the pattern of the data in the table?
Х
3
4 5 6 7
12 16 20 24 28
у
A y = 4x
B y = 4x+12
1
y = -X
1 x +12
D
4

What is the slope of the linear function represented in
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Situation
You are a financial advisor. Your clients include young couples who are looking for financial advice. During this pandemic, everyone is looking for the best option when saving their money. As a financial advisor, you help people determine the best options for their savings plan. Most banks offer saving plan options with compound interest.
The Jacksons
Eric and Amy Jackson wish to invest in a no-risk savings account. They currently have $55,000 in an account that has a 4.125% annual interest rate, compounded continuously. They have the following options:
a. keep their money in the account they already have
b. invest the money in an account that has 5% annual interest, compounded annually
c. invest the money in an account that has 4.5% annual interest, compounded quarterly
d. invest the money in an account that has 3.875% annual interest, compounded monthly
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a.
Group
The intervals of the horizontal axis.
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c. The break in the horizontal axis.
d. The intervals of the horizontal axis are not labeled correctly.

Help plz:)))I’ll mark u Brainliest

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Solve for s.
9 − 2s − 10s = –10s − 7
Show work

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answerrrrrr ??????????

1

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Please explain your work
A $24


B $36



C $15


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Part A
The data in the line plots show the number of hours volunteers work each week for two different organizations. Find the measures of center and variability of the two sets of data.

Part B
What conclusions can you draw from the two sets of data? Select all that apply
A. Volunteers in organization B spend more time volunteering than volunteers in organization A
B. The median of organization A's data and organization B's data is the same
C. The range of organization B's data is greater than the range of organization A's data
D. The mean and the median of organization A's data are the same
E. The mean and the median of organization B's data are the same

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B.) What is the EXACT volume of the sphere when the diameter is 2/3 centimeter?

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[tex]y = 2 {}^{x} and \: y \: = 2 - {}^{x} [/tex]
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