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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jose is working two summer jobs making $10 per hour washing cars and $9 per hour walking dogs. Last week Jose worked a total of 13 hours and earned a total of $122. Write a system of equations that could be used to determine the number of hours jose worked washing cars last week and the number of hours he worked walking dogs last week. define the variables that you use to write the system

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
Write a function for each option, that represents the amount of money in the account after t years after the account is opened.
a. C(t) keep their money in the account they already have
b. A(t) invest the money in an account that has 5% annual interest, compounded annually
c. Q(t) invest the money in an account that has 4.5% annual interest, compounded quarterly
d. M(t) invest the money in an account that has 3.875% annual interest, compounded monthly

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

What is the slope of the linear function represented in
the table?

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

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

1

The bill at a fancy restaurant is $240. You want to tip 15%. How much will the waitress receive as a tip? *

Please explain your work
A $24


B $36



C $15


D $204

When you purchased 100 shares of Bio-Tech Sciences, the value per share was listed at $12.38. When Bio-Tech
Sciences sent out their daily report today, you see that they list the value of their stock at $45.16. If you were to sell all
your shares in Bio-Tech Sciences today, what would be the total value of your investment?
a $1,238.00
c. $5,754.00
b. $4,516.00
d. $3,278.00

what is the circumference of a 12mm circle

4/5(x+1) write the expression in standard form

Can anyone help me with these two questions? Worth 50 points!!

What is the surface area of a unit cube?

A.) The formula for the volume of a sphere is given below and the relationship between the radius r and the diameter d is r=d/2. Find the EXACT volume of the sphere in terms of the diameter d. Be sure to fully simplify the expression.

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

Help plz:)))I’ll mark u Brainliest

The equation of line j is y=5/7x-9. Line k, which is parallel to line j, includes the point (-7, 1 ). What is the equation of line k ?

what is the intial value of the function represented by this graph (7,6) (0,3)
​

what is 14x three over seven​

What is m∠P?

There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.

Y-4x=9 in standard form please show your work

Find mike average monthly income based on these weekly incomes

Please see screenshot

Which functions are linear

a.
Group
The intervals of the horizontal axis.
b. The break in the vertical axis.
c. The break in the horizontal axis.
d. The intervals of the horizontal axis are not labeled correctly.

[tex]y = 2 {}^{x} and \: y \: = 2 - {}^{x} [/tex]
graph each group of function in one plane describe the graph.
Please help me pleaseee :((​

PLEASE HELP ME PLEASEEEEEEEEEEEEEE

help plz i’ll give brainliest

answerrrrrr ??????????

(x - 3)2 + (y + 7)2 = 121 what's the radius

Explain why the expressions 8x(6-4) and 8x6-4 dont not have the same value even though they look very similar? HELP!! PLEASE EXPLAIN IT IN 2 complete sentences. (ITS ALGEBRA)

The theoretical probability of an event occurring is 3/4. Fill in the blank with a
number to complete each statement so that it best describes the expected
chances of the event occurring in an experiment. Out of 400 trials, the desired
outcome will occur approximately
times. *