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nasty-shy [4]
3 years ago
10

ILL MARK BRAINLIEST, RATE AND TY, AND WRITE NICE COMMENTS ON YOUR STATUS. 

Mathematics
2 answers:
LenKa [72]3 years ago
8 0
The distance is 19 Yards.
Ostrovityanka [42]3 years ago
8 0
The distance between the numbers would be 19 yards. :)
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For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

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.

Step-by-step explanation:

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.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

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

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

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.

3 0
4 years ago
What was tonights homework for math?
Mila [183]
Well, looks like your out of luck cause we are not your teacher and most likely we are not your classmates, but hope you don't fail bud
4 0
3 years ago
A 5 meter ladder is positioned 3.2 meters away from a building. A) draw a diagram to represent the information.b) calculate how
Karo-lina-s [1.5K]

Answer:i belive that b is the answer from what i got information wise

Step-by-step explanation:

6 0
3 years ago
Solve for x. 2/x+2 + 1/5 = 6/x+5
olganol [36]

Answer:

Exact Form:

x=−107

Decimal Form:

x=−1.428571

Mixed Number Form:

x=−137

Step-by-step explanation:

5 0
3 years ago
Write an equation in slope intercept form for the line that passes through (-6,-2) and has a slope of 1/3
BabaBlast [244]

Answer:

y=1/3x-2

Step-by-step explanation:

Since the slope intercept form formula is y=mx+b all we need to do is input the values. So m is the slope. Input 1/3. X is next to it because we solve for this. B is the y intercept. Meaning its the point that crosses the line on the graph that is vertical. And you already have -2. Since we know: (x,y) so choose the y. And you have your equation.

Hope this helps!! If so please mark brainliest and rate/heart to help my account if it did!!

5 0
4 years ago
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