What is the relationship between sin(90 degrees) and sin(-90 degrees)

A) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function o

SVETLANKA909090 [29]

Answer:

See below for answers and explanations

Step-by-step explanation:

Part A

The average rate of change of a function over the interval $[a,b]$ is equal to $\frac{f(b)-f(a)}{b-a}$ , hence:

$\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}$

Therefore, the average rate of change of $f(x)$ over the interval $[5,9]$ is $\frac{9}{2}$ .

Part B

Do the same thing as in Part A:

$\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4$

Therefore, the average rate of change of $g(x)$ over the interval $[0.25,1]$ is $-4$ .

Part C

To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).

5 0

2 years ago

If your highway gas mileage is 26 and you take a trip that is 600 miles how much gas will you use

blondinia [14]

Answer: 23.07 gallons of gas

8 0

3 years ago

Guys please help i’m blanking!!! Select all the functions whose graphs include the point (16,4)

Gnom [1K]

D and E —> substitute the x or y of the point given into the functions to test if it is correct

5 0

3 years ago

PLEASE HELP THIS IS SERIOUS DUE IN 5 MINS

Blizzard [7]

Answer:

You didn't add a specific time frame so I can you a correct answer.

Explanation:

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5 0

3 years ago

Read 2 more answers

1/7 rounded to the nearest thousand

Semmy [17]

1/7 = 0.14285714
rounded to the nearest thousandth, it would be 0.143

7 0

3 years ago