Use synthetic division to evaluate f (x)= x^3+ 6x^2-2x

What is the value of x in the figure below

DanielleElmas [232]

Answer:

x=9

Step-by-step explanation:

3x+9=35

3x+9-9=35-9

3x=27

3x/3=27/3

x=9

6 0

3 years ago

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Consider the following equations and name the property of equality used to solve for the variable.

Viktor [21]

9514 1404 393

Answer:

A. subtraction

B. division

C. multiplication

D. addition

Step-by-step explanation:

Observe what is done to the variable. Choose the operation that turns the unwanted value into the appropriate identity element.

A. 3.75 is added. To make that value be 0, we subtract 3.75.

B. -3 is multiplied. To make that value be 1, we divide by -3.

C. m is divided by 5. To make that 1/5 multiplier be 1, we multiply by 5.

D. 4 is subtracted. To make that value be zero, we add 4.

_____

<em>Additional comment</em>

Since subtraction is the same as addition of the opposite, and division is the same as multiplication by the reciprocal, the only two properties we really need are the <em>addition property</em> and <em>multiplication property</em>. Your grader may disagree.

5 0

3 years ago

HELP URGENT STEP FUNCTIONS!!!!!!! Used books cost $2.25 each. Which expression represents the total number of books that can be

irinina [24]

Answer:

A. $\left \lfloor \frac{10}{2.25} \right \rfloor$

Step-by-step explanation:

We are given,

The cost of one book = $2.25

Since, it takes $2.25 to buy 1 book.

The, for $10, we can get $\frac{1}{2.25}\times 10$ i.e. $\frac{10}{2.25}$ = 4.44

Since, number of books cannot be in decimals.

So, the closest integer to 4.44 is 4.

Hence, we can buy 4 books from $10.

Now, according to the options:

A. $\left \lfloor \frac{10}{2.25} \right \rfloor = \left \lfloor 4.44\right \rfloor = 4$

B. $\left \lceil \frac{10}{2.25} \right \rceil = \left \lceil 4.44 \right \rceil=5$

C. $\frac{10}{\left \lceil 2.25\right \rceil} =\frac{10}{3} =0.33$

D. $\frac{10}{\left \lfloor 2.25\right \rfloor} = \frac{10}{2} = 5$

Hence, we see that from the options, A is correct.

3 0

3 years ago

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How do I find X in the simplest radical form

GREYUIT [131]

Pythagorean theorem

8 0

4 years ago

Pre-Calc: Find all the zeros of the function.

uysha [10]

The zeros of the polynomial function are y = 4/5, y = -4/5 and y = ±4/5√i and the polynomial as a product of the linear factors is f(y) = (5y - 4)(5y + 4)(25y^2 + 16)

<h3>What are polynomial expressions?</h3>

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

<h3>How to determine the zeros of the polynomial?</h3>

The polynomial equation is given as

f(y) = 625y^4 - 256

Express the terms as an exponent of 4

So, we have

f(y) = (5y)^4 - 4^4

Express the terms as an exponent of 2

So, we have

f(y) = (25y^2)^2 - 16^2

Apply the difference of two squares

So, we have

f(y) = (25y^2 - 16)(25y^2 + 16)

Apply the difference of two squares

So, we have

f(y) = (5y - 4)(5y + 4)(25y^2 + 16)

Set the equation to 0

So, we have

(5y - 4)(5y + 4)(25y^2 + 16) = 0

Expand the equation

So, we have

5y - 4 = 0, 5y + 4 = 0 and 25y^2 + 16 = 0

This gives

5y = 4, 5y = -4 and 25y^2 = -16

Solve the factors of the equation

So, we have

y = 4/5, y = -4/5 and y = ±4/5√i

Hence, the zeros of the polynomial function are y = 4/5, y = -4/5 and y = ±4/5√i

How to write the polynomial as a product of the linear factors?

In (a), we have

The polynomial equation is given as

f(y) = 625y^4 - 256

Express the terms as an exponent of 4

So, we have

f(y) = (5y)^4 - 4^4

Express the terms as an exponent of 2

So, we have

f(y) = (25y^2)^2 - 16^2

Apply the difference of two squares

So, we have

f(y) = (25y^2 - 16)(25y^2 + 16)

Apply the difference of two squares

So, we have

f(y) = (5y - 4)(5y + 4)(25y^2 + 16)

Hence, the polynomial as a product of the linear factors is f(y) = (5y - 4)(5y + 4)(25y^2 + 16)

Use synthetic division to evaluate f (x)= x^3+ 6x^2-2x - 12 when x = 3