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Natasha2012 [34]
2 years ago
14

Please help with question 22. Find a reasonable domain and range for each function. Help Help!! And please explain

Mathematics
1 answer:
steposvetlana [31]2 years ago
6 0
Hey Meri!

x represents the numbers of gallons of gas in the vehicle.
The values x can represent is called our domain.

x can not take on negative values,
it wouldn't make sense to have a negative amount of gas in the car, right?

So the lower limit on our domain is zero.

The car can hold up to 17 gallons of gas,
that should make it clear what the upper limit on our domain is.

The range is the distance traveled on these gallons of gas.

If zero gallons of gas are put into the car,
then no distance will be traveled.
So the low end of our range will be zero.

If 17 gallons of gas are put into the car,
then what distance can the vehicle travel?
Use your function to determine the upper end of your range.
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Answer:

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Step-by-step explanation:

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Suppose f and g are continuous functions such that g(6) = 6 and lim x → 6 [3f(x) + f(x)g(x)] = 45. Find f(6).
aleksandr82 [10.1K]
Since g(6)=6, and both functions are continuous, we have:

\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5


if a function is continuous at a point c, then lim_{x \to c} f(x)=f(c), 

that is, in a    c ∈  a continuous interval, f(c) and the limit of f as x approaches c are the same.


Thus, since lim_{x \to 6} f(x)=5, f(6) = 5


Answer: 5


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You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If
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Step-by-step explanation:

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If 1/2 is subtracted from four times the reciprocal of a number, the result is 0. Find the number.
Maurinko [17]

Answer:

The Number is 8.

Step-by-step explanation:

Let the number be x.

Given:

1/2 is subtracted from four times the reciprocal of a number, the result is 0.

Hence the equation will become like;

4\times \frac{1}{x} - \frac{1}{2}=0

Now Solving the equation we get.

\frac{4}{x} -\frac{1}{2}=0\\\\\frac{4}{x} = \frac{1}{2}\\\\x= 4\times 2\\x=8

Now the we can see the number is 8, when 1/2 is subtracted from 4 times the reciprocal of number means 4/8 which becomes 1/2 and hence when 1/2 is subtracted from 1/2 it equals to 0.

Hence the number is 8.

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2 years ago
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