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taurus [48]
3 years ago
7

F(x)=-11x-2 and g(x) =7x-4 find (f°g)(x)​

Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0

Answer:

- 77x + 42

Step-by-step explanation:

note that (f ○ g)(x) = f(g(x)

Substitute x = g(x) into f(x)

f(g(x))

= f(7x - 4)

= - 11(7x - 4) - 2

= - 77x + 44 - 2

= - 77x + 42

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Suppose the value of a car depreciates 8% every year. To the nearest dollar, what will a car that cost $23,995 be worth after 5
Vanyuwa [196]

Answer:

<em>The car will worth $15815 after 5 years.</em>

Step-by-step explanation:

The formula is:    A=P(1+r)^t, where P = Initial cost, A = Final cost,  r = Rate of change in cost per year and  t = Number of years.

Here, P= 23995, t= 5

and r= 8\%=0.08

As here the <u>value of the car depreciates every year, so we need to plug the value of r as negative</u>. So, r=-0.08

Now plugging the above values into the formula, we will get.....

A=23995(1-0.08)^5\\ \\ A=23995(0.92)^5\\ \\ A=15814.6611... \approx 15815

<em>(Rounded to the nearest dollar)</em>

So, the car will worth $15815 after 5 years.

8 0
3 years ago
Help ASAP will give brainly 9th grade math
KatRina [158]
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8 0
3 years ago
A collection of quarters, dimes, and nickels is worth $13.30. If the ratio of quarters to
RideAnS [48]

Answer:

105

Step-by-step explanation:

35 quarters ($8.75)

21 dimes ($2.10)

49 nickels ($2.45)

7 0
3 years ago
Find the Area of the Shaded Region.
BaLLatris [955]
Area of rectangle is length x width
area of smaller rectangle
9x5=45
area of large rectangle
11x7=77
77-45=32
5 0
3 years ago
Read 2 more answers
(Lesson 31) The population of Jacksonville, Florida, was 736,000 in 2000 and was increasing at a rate of 1.49% each year. At
damaskus [11]

Answer:

Step-by-step explanation:

Population t years after 2000 = 736,000 × 1.0149^t

736,000 × 1.0149^t = 1,000,000

1.0149^t = 1,000,000/736,000 = 125/92

Take log base 1.0149 of both sides

t ≈ 20.7

Population exceeds a million in 2021

7 0
3 years ago
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