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3 years ago

4h - 6= 22 -8s + 1= 33 -4w - 4= 8 5 +1/7b = -2 i need help on these problems!

1 answer:

6 0

4h−6=22
1. Add 6 to both sides.
4h−6+6=22+6
4h=28
2.Divide both sides by 4.
4h/4=28/4
h=7

−8s+1=33
1: Subtract 1 from both sides.
−8s+1−1=33−1
−8s=32
2: Divide both sides by -8.
−8s/−8=32/−8
s=-4


−4w−4=8
Step 1: Add 4 to both sides.
−4w−4+4=8+4
−4w=12
2: Divide both sides by -4.
−4w/−4=12/−4
w=−3


Step 1: Simplify both sides of the equation.
1/7b+5=−2
 2: Subtract 5 from both sides.
1/7b+5−5=−2−5
17b=−7
3: Multiply both sides by 7.
7*(1/7b)=(7)*(−7)
b=−49

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The inner function is $h(x)=4x^2 + 8$ and the outer function is $g(x)=3x^5$ .

The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

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A composite function can be written as $g(h(x))$ , where $h$ and $g$ are basic functions.

For the function $f(x)=3(4x^2+8)^5$ .

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

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$\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)$

It tells us how to differentiate composite functions.

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outside function: $g(x)=3x^5$

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The derivative of this is computed as

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The derivative of the function is $\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4$ .

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