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Brut [27]
4 years ago
6

Given f(x)=17-x2 , what is the average rate of change in f(x) over the interval (1, 5)?

Mathematics
1 answer:
gregori [183]4 years ago
5 0
It goes from (1,16) to (5,-8)
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Identify the vertical shift, maximum and minimum values of each function
Delicious77 [7]

ANSWER

Vertical shift: 6 units up

Maximum value: 9

Minimum value: 3

EXPLANATION

The given since function is

y = 3(2 -  \sin(x))

Expand and rewrite to obtain,

y = 6 - 3 \sin(x)

Or

y =- 3 \sin(x) + 6

The vertical shift is 6 units up.

The maximum value is 6+3=9.

The minimum value is -3+6=3

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3 years ago
A plumber and his assistant work together to replace the pipes in an old house. The plumber charges $30 an hour for his own labo
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Answer:

The plumber worked 50 hours, and his assistant worked 25 hours.

Step-by-step explanation:

Since a plumber and his assistant work together to replace the pipes in an old house, and the plumber charges $ 30 an hour for his own labor and $ 20 an hour for his assistant's labor, and the plumber works twice as long as his assistant on this job, and the labor charge on the final bill is $ 2000, to determine how long did the plumber and his assistant work on this job the following calculation must be performed:

40 x 30 + 20 x 20 = 1200 + 400 = 1600

50 x 30 + 25 x 20 = 1500 + 500 = 2000

Therefore, the plumber worked 50 hours, and his assistant worked 25 hours.

6 0
3 years ago
Use the figure below to determine the length of a to the nearest tenth.
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3 years ago
If f(x)= 5x + 4 and g(x) = 1/2x<br><br> find ,<br> a) fg(5)
Veseljchak [2.6K]

Answer:

f(g(5)) = 16.5

Step-by-step explanation:

To calculate f(g(5)), evaluate g(5) then substitute the value obtained into f(x)

g(5) = \frac{1}{2} × 5 = 2.5 , then

f(2.5) = 5(2.5) + 4 = 12.5 + 4 = 16.5

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3 years ago
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C.<span>She used an incorrect formula. The formula should be the change in </span>y<span>-values with respect to the change in the </span>x<span>-values.

</span>
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3 years ago
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