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2 years ago

The following table shows the number of miles a hiker walked on a trail each day for 6 days.

Mathematics

1 answer:

dedylja [7]2 years ago

6 0

Answer:

i think the answer is either E. or B. i'm not sure if i'm right but if someone can correct me if i'm wrong .

Step-by-step explanation:

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Find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)

timama [110]

<h3>Answer: c = 7/4</h3>

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Work Shown:

Compute the function value at the endpoints

$f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\$

With a = -5 and b = 4, we have

$f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\$

So,

$f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\$

Use algebra to solve for c

$-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\\frac{1}{2\sqrt{4-c}} = \frac{1}{3}\\\\3 = 2\sqrt{4-c}\\\\2\sqrt{4-c} = 3\\\\\sqrt{4-c} = \frac{3}{2}\\\\4-c = \frac{9}{4}\\\\c = 4-\frac{9}{4}\\\\c = \frac{16-9}{4}\\\\c = \frac{7}{4}\\\\$

6 0

2 years ago

Geometry help wanted will give 50 points .

Dvinal [7]

Okay, I will try to help you the best I can!!

8 0

2 years ago

10. The distance of the point (a, b) from the origin is twice its

alina1380 [7]

Answer:

b = 2a

Step-by-step explanation:

7 0

2 years ago

51/70 = x/100 Please answer I need help

BigorU [14]

Answer:

x=510/7

Step-by-step explanation:

51/70=x/100

cross product

70*x=51*100

70x=5100

x=5100/70

x=510/7

4 0

2 years ago

What is the solution to the equation represented by the model below?

Sever21 [200]

Answer: C: X=2

Step-by-step explanation:

X=2 BECAUSE if u put 2 instead of the x's then it would be 3(2) +8=4(2)+6

PLZ MARK BRAINLIEST

3 0

2 years ago

Read 2 more answers