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3 years ago

Juan starts a new coffee shop. The table shows the coffee sales at his shop for the first 5 days.

Mathematics

2 answers:

Ainat [17]3 years ago

7 0

Answer:

The average between the 2nd and 5th day is 237.50

Lera25 [3.4K]3 years ago

7 0

Answer:

$30/day

Step-by-step explanation:

average rate of change = (s(b)-s(a))/b-a

where s(b) =$310

s(a) = $220

b= 5

a= 2

average rate of change = (310-220)/(5-2)

average rate of change = 90/3

average rate of change = $30/day

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SOLUTION

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1 year ago

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>

================================================

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

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

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3 years ago

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faust18 [17]

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3 years ago

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A mini game cube is covered in different colors and has a side length of 1.8 inches. Which of the following would represent the

svet-max [94.6K]

complete question:

A mini game cube is covered in different colors and has a side length of 1.8 inches. Which of the following would represent the amount of space covered in various colors?

A. 116.64 in2

B. 3.24 in2

C. 19.44 in2

D. 10.8 in2

Answer:

C. 19.44 in2

Step-by-step explanation:

A cube is a 3 dimensional figure bounded by 6 square faces. All the sides of a cube are equal in length. The picture below is a cube. The amount of space covered in different colors will be the surface area of the cube.

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3 years ago

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kaheart [24]

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