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Kipish [7]
3 years ago
15

6. An air conditioning repair service call costs $75 per hour plus a flat fee trip charge of $25. If the situation can

Mathematics
1 answer:
Talja [164]3 years ago
5 0

Answer:

THE ANSWER FROM YOUR OPTIONS IS:

(C) The repair charge r depends on the repair time h in hours.

Step-by-step explanation:

Repair-service call  -  $75 /hour

Flat fee trip-charge  -  $25

The function representing this situation: r(h) = 75h + 25

(A) Which is the dependent variable?

The dependent variable is the one whose value is to be gotten from the relationship between or among the values of other variables in the function. It usually appears at the left hand side of the equation. In this case, it is r(h).

(B) What do the variables represent?

The variables here - the algebra that can attain various values - are r and h.

r = total repair charges

h = repair time in hours [hence, if h = 1, repair time is 1 hour]

These are the two variables in this function.

r(h) now means repair charges in hours

THE ANSWER FROM YOUR OPTIONS IS:

(C) The repair charge r depends on the repair time h in hours.

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The domain will be the set of all real numbers, such that the denominator is different than zero.

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Then we need to solve:

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D: x ∈ R.

b) we want to find two different numbers x such that:

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Then we need to solve:

\frac{1}{4} = \frac{x + 1}{x^2 + 3}

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\frac{1}{4}*(x^2 + 3) = \frac{x + 1}{x^2 + 3}*(x^2 + 3)

\frac{x^2 + 3}{4} = x + 1

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the solutions are:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

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a = 1

b = -4

c = -1

Then in this case the solutions are:

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