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Kazeer [188]
4 years ago
7

A rental agency charges a flat fee of $110.00 plus $46.00 per day to rent a certain car. Another agency charges a fee of $70.00

plus $54.00 per day to rent same car. Using graphing calculator find the number of days for which the costs are the dame. Round answer to nearest whole day

Mathematics
1 answer:
Irina18 [472]4 years ago
3 0

Answer:

5 days

Step-by-step explanation:

Using a graphing calculator as directed, we find the lines representing total charges intersect at (5, 340), meaning the charge for a 5 day rental is the same at both agencies, and that charge is $340.

_____

For x days of rental at the first agency, the charge is $110 + 46x.

For x days of rental at the second agency, the charge is $70 + 54x.

The graphing calculator will plot the lines these equations represent when you enter the equation into the input box.

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Answer:

You included no options so I will list some of the various fractions and decimal that are equivalent to the fraction of days it was cloudy in April.

In fraction form, the value can be simplified to;

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In decimal form, the value would be;

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Find all solutions to x³+3x² − 9x − 27 = 0 by factoring the equation.
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Answer:

The solutions are x=-3,\:x=3

Step-by-step explanation:

To factor this cubic polynomial x^3+3x^2-9x-27 you must:

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  • Factor out -9 from (-9x-27)

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  • Factor out x^2 from (x^3+3x^2)

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x^3+3x^2-9x-27=-9\left(x+3\right)+x^2\left(x+3\right)

  • Factor out common term x+3

-9\left(x+3\right)+x^2\left(x+3\right)=\left(x+3\right)\left(x^2-9\right)

x^3+3x^2-9x-27=\left(x+3\right)\left(x^2-9\right)

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x^3+3x^2-9x-27= \left(x+3\right)\left(x+3\right)\left(x-3\right)

x^3+3x^2-9x-27=\left(x+3\right)^2\left(x-3\right)=0

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x+3=0, \quad{x=-3}\\x-3=0, \quad{x=3}

The solutions are

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