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sammy [17]
3 years ago
9

The gas mileage for Peter's car is 21 miles per gallon when the car travels at an average speed of 50 miles per hour. The car's

gas tank has 17 gallons of gas at the beginning of a trip. If. Peter's car travels at an average speed of 50 miles per hour, which of the following functions fmodels the number of gallons of gas remaining in the tank thours after the trip begins? 21 A. f(t) = 17 - 50T B. f(t) = 17 - 500 21 17-500 C. f(t) 17-210 50 D. f(t) = 21​
Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

Answer:

f(t)= 17- 50t/21

Step-by-step explanation:

distance covered after t hours= 50t miles

number of gal.=50t×1/21 =50t/21 gal.

f(t)=starting-consuming= remaining

= 17-50t/21

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Help me for 20 points.
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1.  Find angle Y.  Since the interior angles of a triangle must add up to 180 deg., we have 180 - (98+24) = 58 deg.

Apply the Law of Sines to determine the lengths of sides r and t:

    r           7.9            t
--------- = --------- = ---------
 sin 98     sin 58     sin 24

Then r = (7.9 sin 98)/ (sin 58) = 9.22.  This matches r in the 2nd choice.  Determine t using the same method:  t = 7.9sin 24 / sin 58.

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Answer:

g^{-1}(x)=f(x)=e^{\frac{x}{3}}

Step-by-step explanation:

We have been given two functions as g(x)=\text{ln}(x^3) and f(x)=e^{\frac{x}{3}}. We are asked to show that both functions are inverse of each other algebraically and graphically.

Let us find inverse function of g(x)=\text{ln}(x^3) as:

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Using log definition; If \text{log}_a(b)=c, then b=a^c, we will get:

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Therefore, we can see that function f(x)=e^{\frac{x}{3}} is inverse of function g(x)=\text{ln}(x^3).

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