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irga5000 [103]
3 years ago
5

(25 POINTS) PLEASE HELP WILL GIVE BRAINLIEST, THANKS AND 5 STAR RATING!!! 5 QUESTIONS SHOW WORK!

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

Answer:

Step-by-step explanation:

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How does the function f(x) = a ln x compare to the parent function when |a| > 1?
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Answer: The graph is stretched.

Step-by-step explanation:

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3 years ago
What is the average rate of change of the function over the interval x = 0 to x = 8?
Hatshy [7]

Answer:

if f(x) = 3x+4, the rate of change is 4.

if f(x) = 2x+7, the rate of change is 2.

Step-by-step explanation:

We know that the average rate of change over the interval x=0 to x=8 is:

(f(x2) - f(x1))/x2-x1

Where:

x2 = 8

x1 = 0

if f(x) = 3x+4

so f(8)=3(8)+4 = 28

f(0)=3(0)+4 = 4

Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3

On the other hand, if f(x) = 2x+7

f(8) = 2(8)+7 = 23

f(0) = 2(0)+7 = 7

Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2

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2 years ago
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Use the arithmetic progression formula to find the sum of integers from 75 to 100.75,76,77....99,100.​
Sophie [7]

Answer:

The sum is 2275

Step-by-step explanation:

Given

75,76,77....99,100

Required

The sum

Using arithmetic progression, we have:

S_n = \frac{n}{2}(T_1 + T_n)

Where:

T_1 = 75 --- first term

T_n = 100 --- last term

n = T_n - T_1 + 1

n = 100 - 75 + 1 = 26

So, we have:

S_n = \frac{n}{2}(T_1 + T_n)

S_n = \frac{26}{2}*(75 + 100)

S_n = 13*175

S_n = 2275

5 0
2 years ago
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