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nadezda [96]
4 years ago
5

Find the average rate of change of an exponential function f (x) over the interval 1 ≤ x ≤ 3.

Mathematics
1 answer:
Neko [114]4 years ago
8 0

Answer:

Option b. 12

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

The average rate of change is equal to

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

In this problem we have

a=1

b=3

f(a)=f(1)=1  

f(b)=f(3)=25

Substitute

\frac{25-1}{3-1}=12

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Eighty percent of the students in a class (group A) share 40% of the candy equally. The remaining 20% of the students (group B)
mestny [16]

Answer:

1/6

Step-by-step explanation:

There is x candy in total and y students in total.

Group A consists of 0.8y students, and group B consists of 0.2y students.

Group A gets 40% of x, or 0.4x. Each student in group A gets 0.4x/(0.8y) = 0.5x/y candy per person.

Group B gets 60% of x, or 0.6x. Each student in group B gets 0.6x/(0.2y) = 3x/y candy per person.

The ratio of candy each student in group A has to the amount of candy each student in group B has is:

(0.5x/y)/(3x/y) = 0.5/3 = 1/6

4 0
4 years ago
Read 2 more answers
Which two angle pairs form complementary angles?
tatuchka [14]
It would be 73° and 17° because when you add them up it equals 90
6 0
3 years ago
A sweatshirt is discounted 30%. If the discount is $9, what was the original price of the sweatshirt? Please show your work.
ArbitrLikvidat [17]

Answer:

$30

Step-by-step explanation:

Let the price of sweatshirt be $x.

Discount percentage = 30%

Discount in dollars = 30% of $x

Discount in dollars = 30/100 of $x = $ 30x/100

Given that discount in $ is 9

thus

30x/100 = 9

x = 9*100/30 = 30

Thus, the original price is $30

6 0
4 years ago
Eexpres -25/60 as a rational number whose denominator is -12​
stepan [7]
Answer: 5/-12

Explanation

Divide both the denominator and the numerator by -5 to obtain the denominator of -12 and the numerator of 5.

5/-12

Hope this helps :)
5 0
3 years ago
The airport security randomly selected 36 suitcases from the security line. Of these bags, they screened 8 suitcases. Based on t
castortr0y [4]

The ratio of suitcases to screened suitcases is 36:8. The second ratio is 180:?.

--

180 is 5 times 36 which can be proven by dividing 180 by 36.

180 ÷ 36 = 5

Multiply 5 by 8 to find the amount of suitcases that would be screened if there were 180 total suitcases.

5 × 8 = 40

The first ratio is 36:8, and with a scale factor of 5 we get the second equivalent ratio 180:40.

<h2>Answer:</h2>

<u>Forty suitcases</u><u> will be screened.</u>

I hope this helps :)

4 0
3 years ago
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