4(x - 1) = -4+ 4x need help solving this step by step asap !

Mathematics

1 answer:

mario62 [17]2 years ago

3 0

Answer:

All numbers are solutions.

Step-by-step explanation:

4(x−1)=−4+4x

(4)(x)+(4)(−1)=−4+4x

4x+−4=−4+4x

4x−4=4x−4

4x−4−4x=4x−4−4x

−4=−4

−4+4=−4+4

0=0

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2 years ago

Any help with an explanation would be appreciated!

Lilit [14]

Problem 1

We'll use the product rule to say

h(x) = f(x)*g(x)

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

Then plug in x = 2 and use the table to fill in the rest

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

h ' (2) = f ' (2)*g(2) + f(2)*g ' (2)

h ' (2) = 2*3 + 2*4

h ' (2) = 6 + 8

h ' (2) = 14

<h3>Answer: 14</h3>

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Problem 2

Now we'll use the quotient rule

$h(x) = \frac{f(x)}{g(x)}\\\\h'(x) = \frac{f'(x)*g(x)-f(x)*g'(x)}{(g(x))^2}\\\\h'(2) = \frac{f'(2)*g(2)-f(2)*g'(2)}{(g(2))^2}\\\\h'(2) = \frac{2*3-2*4}{(3)^2}\\\\h'(2) = \frac{6-8}{9}\\\\h'(2) = -\frac{2}{9}\\\\$