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3 years ago

Each floor of a hotel has r rooms. On 8 floors, there are a total of 256 rooms.

Mathematics

1 answer:

Lynna [10]3 years ago

7 0

Answer: 8r = 256 is the expression. There are 32 rooms on each floor.

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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

Using the graph provided, find f(x)=2

natali 33 [55]

Answer:

so x=3

Step-by-step explanation:

f(x) = 2

We want to find the x value when y =2

Going across where y = 2

Then go down to find the x value x=3 when y = 2

f(3) =2

so x=3

6 0

3 years ago

What is 62,810 rounded to the nearest

sweet-ann [11.9K]

62,810 rounded up is 60,00

3 0

3 years ago

Evaluate 2^-4/4^0 Write your answer as a fraction in simplest form

Luden [163]

Answer:

1/16 or 0.0625

Step-by-step explanation:

Im not sure but this may be the answer

5 0

3 years ago

Find the intersection of the three sets: A = {–4, 3, 10}, B = {3, 6, 10, 15}, C = {–4, 10, 20}

Wittaler [7]

Answer:

Step-by-step explanation:

8 0

3 years ago