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Nutka1998 [239]
3 years ago
5

Which of the following functions is graphed below

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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the solution is this:

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The fuel efficiency (mpg rating) for cars has been increasing steadily since 1980. The formula for a car's fuel efficiency for a
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Answer:

a) In the interval of [1980,1983].

b) In the interval of [1991, 1996].

Step-by-step explanation:

Fuel efficiency:

The fuel efficiency, for the cars, in x years after 1980, is given by:

E(x) = 0.36x + 15.9

15.9 is the fuel efficiency in 1980.

a. In what years was the average fuel efficiency for cars less than 17 mpg (in interval form)?

From 1980 to:

E(x) < 17

0.36x + 15.9 < 17

0.36x < 1.1

x < \frac{1.1}{0.36}

x < 3.06

3.06 = 1980 + 3 = 1983. So

In the interval of [1980,1983].

b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?

From x until 1996.

E(x) > 20

0.36x + 15.9 > 20

0.36x > 4.1

x > \frac{4.1}{0.36}

x > 11.38

11.38 = 1980 + 11 = 1991. So

In the interval of [1991, 1996].

4 0
2 years ago
Solve the exponential equation: 2^3x+1 = 128
dsp73

Answer:

So x=2.32956156226

Step-by-step explanation:

First subtract 1 on both sides

2^3x=127

Now you can rewrite this as

(2^3)^x

As it still equals the same thing

Now 2^3 is 8

So the equation is now

8^x=127

So we use log formula

log8 127=x

So how many times do we have to multiply 8 by itself to get 127?

The answer is: 2.32956156226

Hope this helps!

3 0
3 years ago
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