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Finger [1]
3 years ago
10

What is the average rate of change of the function on the interval from x = 0 to x = 5?

Mathematics
2 answers:
bixtya [17]3 years ago
8 0
The average rate is 3^x/2
damaskus [11]3 years ago
6 0

Answer:

Average rate of change = 24.2

Step-by-step explanation:

f(x)=\frac{1}{2}3^x

Average rate of change formula is on interval a to b is

\frac{f(b)-f(a)}{b-a}

Given interval is x=0 to x=5

a=0 and b=5

Average rate = \frac{f(5)-f(0)}{5-0}

f(0)=\frac{1}{2}3^0=\fracc{1}{2}=0.5

f(5)=\frac{1}{2}3^5=\frac{3^5}(2}=121.5

Average rate = \frac{f(5)-f(0)}{5-0}

Average rate = \frac{121.5-0.5}{5}=24.2

Average rate of change = 24.2

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3. If 3, x, y, 18, are in arithmetic progression, (A, P) find the value of x and y
Luba_88 [7]

Answer:

Below in bold

Step-by-step explanation:

The sequence is:

3, x, y, 18

If this is an A P then

x - 3 = y - x  

2x - y = 3      (A)  and

y - x = 18 - y

2y - x = 18      (B)

Multiply  (A) by 2:

4x - 2y = 6    (C)

Adding B and C:

3x = 24

x = 8.

and

2y - 8 = 18

2y = 26

y = 13.

So x = 8 and y = 13.

b)   ar + ar^2 = 6ar^3  where a = first term and r = common ratio

Divide by a:

r + r^2 = 6r^3

6r^3 - r^2 - r = 0

r(6r^2 - r - 1) = 0

r(3r  + 1)(2r  - 1) = 0

So the 2 possible values of r

= -1/3 and 1/2.

i) The common ratio is positive so it must be 1/2.

Second term ar = 8

1/2 a = 8

a = 16.

So the first 6 terms are:

16, 8, 4, 2, 1, 1/2.

5 0
2 years ago
A shop sells pairs of trainers for £52 each. They make a percentage profit of 30% on each pair. What was the cost of each pair o
DochEvi [55]

Answer:

£67.60

Step-by-step explanation:

30% of 52 is 15.6

52 + 15.6 = 67.6

I hope this helps, please mark Brainliest, thank you!

5 0
3 years ago
I have one more math question
Mademuasel [1]
I believe it’s all day pass aka bi believe it’s all day pass, AKA B
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3 years ago
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<span>In order for you to be able to solve this problem you have to first identify what the questions is asking. In this case it wants to know the approximation of what the semiannual income that Sarah will be able to draw.

To solve this you simply have to find the future value of her investment prior to retirement and use the as her investment amount upon retirement.

<span>I hope it helps, Regards. </span></span>
5 0
3 years ago
In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of t
GrogVix [38]
If the base were 1, then the final value would never change...it would be a constant...
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3 0
4 years ago
Read 2 more answers
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