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bija089 [108]
3 years ago
13

Given f(x) = 17-X^2what is the average rate of change in f(x) over the interval [1, 5]?

Mathematics
2 answers:
aliya0001 [1]3 years ago
8 0

Answer:

-6

Step-by-step explanation:

The formula for finding the rate of change is:

Rate\ of\ change=\frac{f(b)-f(a)}{b-a}

The interval is [1,5]

So, a = 1 and b=5

f(1) = 17 - (1)^2\\ =17-1\\=16\\f(5) = 17-(5)^2\\=17-25\\=-8

Putting in the values

Rate\ of\ change = \frac{f(5)-f(1)}{5-1} \\=\frac{-8-16}{5-1}\\= \frac{-24}{4}\\ =-6

The average rate of change is -6 ..

kykrilka [37]3 years ago
7 0

Answer:

-6

Step-by-step explanation:

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An ice skater covered 1500 meters in 106 seconds find the unit rate in meters per second
lukranit [14]

Answer:

14.15m/s

Step-by-step explanation:

\We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 106

(1500 miles ÷ 106) / (106 seconds ÷ 106)

=14.15 miles/ 1 second

=14.15 miles/second

= 14.15 miles per second

6 0
3 years ago
Given m||n, find the value of x.<br><br> (7%-10)<br> (6X-5)
tamaranim1 [39]

15 degrees

7x-10+6x-5=180

13x=180

x=15

6 0
3 years ago
John wants to buy a new laptop computer the computer store sells laptops for $480 or 9 credit payments of $58 how much interest
Neko [114]
First you would need to find out how many 9 payments of 58$ would be and that is 522. Then you would need to subtract the 522 and the 480 and your answer would be 42$ so the interest would be 42$
5 0
3 years ago
Suppose a charity received a donation of 12.7 million. If this represents 29% of the charity's donated funds, what is the total
DanielleElmas [232]

The total amount of its donated funds is  43\frac{23}{29}.

Given,

In the question:

A charity received a donation of 12.7 million.

If this represents 29% of the charity's donated funds.

To find the total amount of its donated funds.

Now, According to the question:

Based on the given conditions:

Received donation is = 12.7 million

Charity Funds = 29%

Formulate;

12.7 ÷ 29%

12.7/29%

= 12.7/0.29

Multiply both the numerator and denominator with the same integer

= 1270/29

= 43\frac{23}{29}

Hence,  The total amount of its donated funds is  43\frac{23}{29}.

Learn more about Percentage at:

brainly.com/question/19559470

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7 0
1 year ago
Two numbers have a sum of 18, and 4 times the first number minus the second number is equal to 17. What is the smallest number?
sammy [17]

Answer:

The smallest number is 7

Step-by-step explanation:

Using simultaneous equation;

x+y = 18.....(1)

4x-y = 17.....(2)

from equation (1)..

x+y = 18

y = 18-x...(3)

substitute y into equation (2)

4x-y = 17

4x-(18-x) = 17

4x-18+x = 17

4x+x = 17+18

5x = 35

x = 35÷5

x = 7

substitute x into equation (3)

y = 18-x

y = 18-7

y = 11

Therefore; x=7

y=11

11+7=18

(4×7)-11=17

the smallest number is 7

4 0
3 years ago
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