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

<h3>Answer: -2/9</h3>
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Problem 3
Use the chain rule

<h3>Answer: 12</h3>
They are alike because you are just doubling the number by 2
Answer:
there are 3 adults and 8 children
Step-by-step explanation:
8*3 (3=Adults)=$24
5*8 (8 children)=$40
24+40=$64
Distrivute 0.2 to x and +50 and you get 0.2x+10-6 now for the other side we do the same and we get 1.2x+8 or an easier way... Let's solve your equation step-by-step.<span><span><span>0.2<span>(<span>x+50</span>)</span></span>−6</span>=<span>0.4<span>(<span><span>3x</span>+20</span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>0.2x</span>+4</span>=<span><span>1.2x</span>+8</span></span>Step 2: Subtract 1.2x from both sides.<span><span><span><span>0.2x</span>+4</span>−<span>1.2x</span></span>=<span><span><span>1.2x</span>+8</span>−<span>1.2x</span></span></span><span><span><span>−x</span>+4</span>=8</span>Step 3: Subtract 4 from both sides.<span><span><span><span>−x</span>+4</span>−4</span>=<span>8−4 </span></span><span><span>−x</span>=<span>4 now you divide by negative x (technically it is -1x=4 so your answer is x=-4</span></span>
Answer:
B. 6 cookies
Step-by-step explanation:
<u>Given</u> :
- 9 cookies
- 2/3 of them are chocolate chip
<u>Number of chocolate chip</u>
- Total x fraction of chocolate chip
- 9 x 2/3
- 3 x 2
- 6 cookies