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Anettt [7]
3 years ago
6

Divide p(x)=x^4+6x^3+7x^2-6x-8 by x+4. What is the remainder

Mathematics
1 answer:
postnew [5]3 years ago
3 0

Use the remainder theorem; dividing a polynomial p(x) by x-c leaves a remainder equal to p(c). Here

p(x)=x^4+6x^3+7x^2-6x-8

\implies p(c)=(-4)^4+6(-4)^3+7(-4)^2-6(-4)-8=\boxed{0}

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If f(x) = 7 + 4x and g(x)=1/2x, what is the value of (f/g)(5)?
Romashka [77]
<h2>Answer:</h2>

d. \ \boxed{270}

<h2>Step-by-step explanation:</h2>

In this exercise we need to make a division and evaluate the new function at x=5. so we have two functions, namely:

f(x)=7+4x \ and \\ \\ g(x)=\frac{1}{2x}  

Therefore:

f(5)=7+4(5)=27 \\ \\ g(5)=\frac{1}{2\times 5}=\frac{1}{10}

So:

(f/g)(5)=\frac{27}{\frac{1}{10}}=270

3 0
4 years ago
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Mkey [24]

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Step-by-step explanation:

6 0
3 years ago
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-5x-4y=10
strojnjashka [21]

Answer:

y intercept = (0, ~-\frac{5}{2} )

x intercept = (-2, ~0)

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Step-by-step explanation:

-5x - 5y = 10

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y intercept

\to x = 0

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y = \frac{10}{-4}

y = -\frac{5}{2}

so, the answer is (0, ~-\frac{5}{2} )

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x intercept

\to y = 0

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x = \frac{10}{-5}

x = -2

so, the answer is (-2, ~0)

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Answer:

A number and three is at most two.

Step-by-step explanation:

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