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Natali5045456 [20]
3 years ago
8

Describe how to determine the average rate of change between x = 3 and x = 5 for the function f(x) = 3x3 + 2. Include the averag

e rate of change in your answer.
Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer:

147

Step-by-step explanation:

Average rate of change is given by the total rise over total run.

f(x) = 3x^3+2\\f(3)=3*3^3+2=83\\f(5)=3*5^3+2 = 377

So,

total rise = 377 - 83 = 294

total run = 2

average rate of change = \dfrac{294}{2} = 147

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Parker signed up for a streaming music service that costs $6 per month. The service
TEA [102]

Answer:

Parker will have to pay $31 in a month in which he downloaded 50 songs.

Total amount Parker will pay for s songs = 6 + 0.50s

Step-by-step explanation:

Cost per month = $6

Cost of Offline download = $0.50 per song

A. How much total money would

Parker have to pay in a month in which he downloaded 50 songs?

Total amount Parker will pay = $6 + $0.50(50)

= 6 + 25

= $31

Parker will have to pay $31 in a month in which he downloaded 50 songs.

B. How much would

he have to pay if he downloaded s songs?

Total amount Parker will pay for s songs = $6 + $0.50 * s

= $6 + $0.50s

Total amount Parker will pay for s songs = 6 + 0.50s

7 0
3 years ago
Which of the following is the best estimate of 3/8
defon

Answer:

Step-by-step explanation:

3/8 is closest to 1/2 yw btw

6 0
2 years ago
Haven't run across one with three terms. help? preferably explain how you got the answer too!!​
const2013 [10]

Answer:

c^3 + c^2 - 7c + 20

Step-by-step explanation:

First, expand the expression using distributive property.

c^2(c+4) - 3c(c+4) + 5(c+4)

c^3 + 4c^2 - 3c^2 - 12c + 5c + 20

Lastly, simplify like terms.

c^3 + c^2 - 7c + 20

5 0
3 years ago
What value of x will make ONM similar SRQ by the SAS similarity theorem?
Marta_Voda [28]

Answer:

The correct answer is 25

Step-by-step explanation:

See the attached figure.

SAS similarity theorem mean that when two triangles have corresponding angles are congruent and corresponding sides with identical ratios the triangles are similar.

So, if ΔONM similar ΔSRQ by the SAS similarity theorem

∴∠N = ∠R

And

\frac{NM}{RQ} =\frac{NO}{RS}

given that NM = 10 , NO = 8 , QR = x , RS = 20

∴\frac{10}{x} =\frac{8}{20}

∴x=\frac{10*20}{8} =25

So, the value of x will make ONM similar SRQ by the SAS similarity theorem = 25

7 0
3 years ago
Read 2 more answers
If the base of a triangle is represented by 2x+5 and the height is represented by 4x which expression represents the area of the
madreJ [45]

Answer:

The answer is D

Step-by-step explanation:

You use base times height

1/2bh

=1/2(2x+5)(4x)

5 0
3 years ago
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