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3 years ago

Is (x + 7) a factor of f(x) = x3 − 3x2 + 2x − 8

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

8 0

Answer:

Step-by-step explanation:

If (x + h) is a factor of f(x) then f(- h) = 0

Thus if (x + 7) is a factor of f(x) then f(- 7) = 0

f(- 7) = (- 7)³ - 3(- 7)² + 2(- 7) - 8

= - 343 - 147 - 14 - 8 = - 512 ≠ 0

Since f(- 7) ≠ 0 then (x + 7) is not a factor of f(x)

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3 years ago

You buy items totaling $135.82. The sales tax is 4%. You give the clerk three $50 bills. Figure the following amounts:

MrRa [10]

Answer:

a. $5.43

b. $141.25

c. $8.75

Step-by-step explanation:

First you find the total amount you it cost for all the items

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You give three $50 dollar bills

50 * 3 = 150

$150 is the amount you give

--------------------------------------

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To find the amount is cost for all the items you add the sales tax + the original price

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3 years ago

I need help with this promblem it’s ALGEBRA 2!

AlekseyPX

Answer:

$(f\circ h)(2)=2$

Step-by-step explanation:

<u>Composite Function </u>

Given f(x) and h(x) real functions, the composite function named $(f\circ h)(x)$ is defined as:

$(f\circ h)(x)=f(h(x))$

It can be found by substituting h into f.

We are given the functions:

$f(x)=2x^2-9x+2$

$h(x)=x^2-4$

It's required to find $(f\circ h)(2)$

As defined above:

$(f\circ h)(x)=f(h(x))$

Thus:

$(f\circ h)(2)=f(h(2))$

Find h(2):

$h(2)=2^2-4=0$

h(2)=0

Now:

$(f\circ h)(2)=2(0)^2-9(0)+2$

$(f\circ h)(2)=2$

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3 years ago