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4 years ago

(SHOW YOUR WORK PLEASE)

Mathematics

1 answer:

Anestetic [448]4 years ago

4 0

Answer:

The original distance between Dallas and Houston is 240 miles.

Step-by-step explanation:

The scale on a map is 1 cm = 50 miles.

That means, 1 cm length in the drawing is equivalent to 50 miles original distance.

We have to find the actual distance between Dallas and Houston, which are 4.8 cm distant on the map.

So, 4.8 cm length in the drawing will be equivalent to (50 × 4.8) = 240 miles.

Therefore, the original distance between Dallas and Houston is 240 miles. (Answer)

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sattari [20]

Given:

$F(x)=f(g(x))$

where, $f(-1)=5,f'(-1)=3,f'(5)=3,g(5)=-1,g'(5)=8$ .

To find:

The value of $F'(5)$ .

Solution:

We have,

$F(x)=f(g(x))$

Differentiate with respect to x.

$F'(x)=\dfrac{d}{dx}f(g(x))$

Using chain rule, we get

$F'(x)=f'(g(x))g'(x)$

Now, put x=5.

$F'(5)=f'(g(5))g'(5)$

$F'(5)=f'(-1)\times 8$ $[\because g(5)=-1,g'(5)=8]$

$F'(5)=3\times 8$ $[\because f'(-1)=3]$

$F'(5)=24$

Therefore, the value of $F'(5)$ is 24.

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3 years ago

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Answer:

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Step-by-step explanation:

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1 year ago

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