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Black_prince [1.1K]
3 years ago
8

Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x and select the correct answer below.

Mathematics
2 answers:
Vladimir [108]3 years ago
8 0
Excuse me but his answer is incorrect. To find the proper rate of change you might have to solve it like you would for slope.
First you would find the points for x = 3 and x = 15 would be (3, 0.08) and (15, 327.68). Then using the slope formula you can find 327.60/ 12. That gives 27.3. So in that case the correct answer is C.
telo118 [61]3 years ago
8 0

Answer:

Option C is correct

27.3    

Step-by-step explanation:

Average rate of change A(x) of f(x) over interval [a, b] is given by:

A(x) = \frac{f(b)-f(a)}{b-a}              .....[1]

As per the statement:

Given the function:

f(x) = 0.001 \cdot 2^x

At x = 3

then;

f(3) = 0.001 \cdot 2^3 = 0.01 \cdot 8 = 0.08

At x = 15

then;

f(3) = 0.001 \cdot 2^15 = 0.01 \cdot 32768= 327.68

Substitute these given values in [1] we have;l

A(x) = \frac{f(15)-f(3)}{15-3} = \frac{3267.8-0.08}{12} =\frac{327.6}{12} = 27.3

Therefore, the average rate of change from x = 3 to x = 15 is, 27.3

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
amm1812

Answer:

The solution of this system of equations is (3 , -8)

Step-by-step explanation:

The given system is

x + 2y = -13

12x + 5y = -4

We make x the subject of the first equation and put it into the second:

x =  - 13 - 2y

We put this expression for x into the second equation

12(-13-2y)+5y=-4

-156-24y+5y=-4

-24y+5y=-4+156

-19y=152

y=-8

We substitute y=-8 into x=-13-2y to get:

x =  - 13 - 2( - 8) = 3

The solution of this system of equations is (3 , -8)

3 0
3 years ago
At camp in Green Bay, Wisconsin, 7/9 of the participants were from Wisconsin. Of that group 3/5 were 12 years old. What fraction
In-s [12.5K]
Since the problem stated that 7/9 of the participants were from Wisconsin, so 2/9 of it were not from Wisconsin. Now out of 7/9 participants, 3/5 of them were 12 years old, so 2/5 of them are not 12 years old. Since we now know the fractions, we'll get the equation 7/9 x 3/5 multiply 7 and 3 then divide it to the product of 9 and 5 to have the answer of 7/15. 7/15 of the participants of the camp in Green Bay is from Wisconsin and are 12 years old.
4 0
2 years ago
Read 2 more answers
How many bows can you make from 3 and 2/3 meters of ribbon if 1/4 of a meter of ribbon makes one bow
slega [8]

Answer:

14

Step-by-step explanation:

(11/3)/(1/4)=14 2/3 which means you can make 14 complete bows

6 0
3 years ago
Can somebody help I am struggling a bit
Delicious77 [7]

Answer:

Step-by-step explanation:

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5 0
3 years ago
12(X+20)=372 SOLVE FOR X
vovikov84 [41]
<span>12(X+20)=372

12X+240=372

Subtract the 240

</span>12X=372-240 ----> 12X=132

Divide by 12

12X/12=132/12 ---> x = 11



4 0
3 years ago
Read 2 more answers
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