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2 years ago

Please answer this !!!

Mathematics

1 answer:

larisa [96]2 years ago

6 0

A is the right answer

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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

Jonathan records how 90 pupils travelled to school on one day and represents this information on the pie chart below.

xeze [42]

Answer:

86.4

Step-by-step explanation:

First adding up all the percentages on the chart you get 360

Then figuring out what 24° of 360 is

You then get 86.4

4 0

2 years ago

297 x 65 two step problem dotted line

labwork [276]

Answer:

The answer is 19305

Step-by-step explanation:

5 0

3 years ago

I need help for this

Leona [35]

Got you
S' = 4,-3
Y'= 7,-2
U' = 8,--5
V' = 2,-6

3 0

3 years ago

2,167 divided by 6 equals

muminat

361.16 repeating I used my calculator

5 0

2 years ago