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Iteru [2.4K]
3 years ago
9

The Brown family needs to rent a truck for their upcoming move. Express Movers will charge them $25 for the first day and $0.80

for every mile. Smith & Smith Co. will charge $35 for the first day and $0.60 for every mile. Before deciding which service to use, Mrs. Brown wants to find out how many miles would make the two choices equivalent in cost. The following equations represent this situation.
Here, x represents number of miles and y represents the cost.

This situation is shown in the graph.

Mathematics
2 answers:
nirvana33 [79]3 years ago
7 0

Answer:

50 miles and $65

Step-by-step explanation:

Express moving: y=4/5x+25

Smith and Smith Co: y=3/5x+35

4/5x+25=3/5x+35

Subtract 25 from both sides:

4/5x=3/5x+10

Subtract 3/5x from both sides

1/5x=10

x=50

50 miles would make the two choices equivalent (65$)

svet-max [94.6K]3 years ago
4 0

Answer:

A

Hope this Helps Dork! :)

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Rama09 [41]

The polynomial A is represented as <u>x - 2</u>, making <u>option A</u> the right choice.

In the question, we are asked to find the correct representation of A, when the algebraic expression (x² + x)/(x + 3) can be rewritten as the algebraic expression A + 6/(x + 3), where A is a polynomial.

Thus, we can write an equation,

A + 6/(x + 3) = (x² + x)/(x + 3),

or, A + 6/(x + 3) - 6/(x + 3) = (x² + x)/(x + 3) - 6/(x + 3) {Subtracting 6/(x + 3) from the both sides of the equation}

or, A = (x² + x)/(x + 3) - 6/(x + 3) {Simplifying},

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or, A = {(x - 2)(x + 3)}/(x + 3) {Taking (x + 3) common},

or, A = x - 2 {Cancelling (x + 3) from the numerator and the denominator}.

Thus, the polynomial A is represented as <u>x - 2</u>, making <u>option A</u> the right choice.

Learn more about polynomials at

brainly.com/question/11434122

#SPJ1

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