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seropon [69]
4 years ago
8

The daily expenses for each of a transportation service company’s trucks is given by the function d(x) = 15 + 0.5x, where d(x) i

s the daily expense per truck (in dollars) and x is the daily mileage. The input for the function includes _______ .
Identify the domain of the given function.
a. all fractions
b. all integers
c. all real numbers
d. all positive real numbers
Mathematics
2 answers:
Over [174]4 years ago
8 0

For this case we have the following equation:

d (x) = 15 + 0.5x

Where, by definition, we have the following variables:

d (x): the daily expense per truck (in dollars)

x: the daily mileage

Therefore, the domain of the function is given by:

x> 0

Equivalently:

[0, ∞)

Answer:

The input for the function includes all positive real numbers

option d.

Zigmanuir [339]4 years ago
3 0
The input for the function includes all positive real numbers. The correct option among all the options that are given in the question is the fourth option or option "d". The other choices are incorrect and can be avoided. I hope that this is the answer that has actually come to your desired help.
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3 years ago
Half a number increased by 15 is equal to the sum of 5 and the product of 3 and the number.
son4ous [18]

Answer:

(x/2) + 15 = 5 + 3x

Step-by-step explanation:

Follow the steps in the equation. X is your number. First you halve it, then you add 15. Next, set it equal to the other side. The second side is 5 + (because it is the sum) and 3x (the product of 3 and x means multiply them)

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3 years ago
The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of ​​a rectangle
Juliette [100K]

Answer:

Area = 960 cm^2

Step-by-step explanation:

Perimeter (P) = 2 (l + w)

P = 2l + 2w

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Let the width be 3x

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128 = 2l + 2w

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l + w = 64

Recall we said:

l = 5x

w = 3x

So then:

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Divide both sides by 8

x = 64/8

x = 8.

Since x = 8

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3 years ago
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lilavasa [31]

Answer:

If f(x)=g(x), the solution is x=-2

Step-by-step explanation:

We are given:

f(x)=3x+3\\g(x)= (-1/2)x-4

We need to find the solution if f(x)=g(x)

Now solving for f(x)=g(x)

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If f(x)=g(x), the solution is x=-2

7 0
3 years ago
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