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allochka39001 [22]
3 years ago
7

A rental truck cost $48 plus $0.40 per mile.

Mathematics
1 answer:
Natalija [7]3 years ago
3 0
(a) If we let x be the number of miles and y be the total cost, the equation for relating the number of miles and the total cost would be,
                                y = 0.4x + 48

(b) If the rental cost is 60,
                               60 = 0.4x + 48
The value of x from the equation is 30.

(c) You may prepare the table of values by allowing x be any number and then solve for y until we arrive with an answer for y being equal to 60. 
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If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
Ludmilka [50]

Answer:

Step-by-step explanation:

y = k*x                    This is the formula for a direct variation.

  • y = 20
  • x = 4                        Substitute these values into the direct variation

20 = 4 * k                        Divide by 4

20/4 = 4k/4

k = 5

Answer: the constant of variation is 5

7 0
2 years ago
The length of a rectangle is 4 more than the width. The entire perimeter is 38".
Novosadov [1.4K]
L = 4 + w
perimeter = 38

38 = w + 4 + w
2w = 34
w = 17

L = 4 + 17
L = 21

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4 0
3 years ago
Please help me quick !!!
Nonamiya [84]

Answer:

subtract 0.4

Step-by-step explanation:

5 0
3 years ago
A retailer buys a radio from the wholesaler for $75.00. He then marks up the price by 1/3 and sells it at a discount of 20 %. Wh
Vikki [24]
He sells it at $80 which gives him a profit of $5!
8 0
3 years ago
Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.
7nadin3 [17]

Answer:

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

Step-by-step explanation:

Antiderivative F(x)

This is the integral of F^{\prime}(x)

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

F(x) = \int (6 + 24x^3 + 18x^5) dx

F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K

F(x) = 6x + 6x^4 + 3x^6 + K

F(1)=0

F(X) = 0 when x = 1. We use this to find K.

F(x) = 6x + 6x^4 + 3x^6 + K

0 = 6 + 6 + 3 + K

K = -15

Thus

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

7 0
3 years ago
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