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Helen [10]
3 years ago
10

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th

e oil change for one car required 5 quarts of oil and cost $22.45. The oil change for the other car required 7 quarts of oil and cost $25.45. How much is the labor fee and how much is each quart of oil?
Mathematics
1 answer:
amm18123 years ago
3 0
(5,22.45),(7,25.45)
slope = (25.45 - 22.45) / (7 - 5) = 3/2 or 1.5

y = mx + b
slope(m) = 1.5
use either of ur points...(5,22.45)...x = 5 and y = 22.45
now sub and find b
22.45 = 1.5(5) + b
22.45 = 7.5 + b
22.45 - 7.5 = b
14.95 = b

so ur equation is : y = 1.5x + 14.95.......this means that each quart of oil costs $ 1.50 and the labor fee costs $ 14.95
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 Pull out like factors :

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4x • (x + 2) -  9

Factoring  4x2+8x-9  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  -9  

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Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is   8 .

     -36    +    1    =    -35  

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     -12    +    3    =    -9  

     -9    +    4    =    -5  

     -6    +    6    =    0  

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     -3    +    12    =    9  

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6 0
2 years ago
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3 years ago
Polygon a b c d is shown with exterior angles. exterior angle a is 25 degrees, exterior angle b is 146 degrees, and exterior ang
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The measure of angle bcd of the polygon abcd is 40°.

Hence, option b) 40° is the correct answer.

<h3>What is a polygon?</h3>

A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.

The sum of the exterior angles of a regular polygon will always equal 360

Given that;

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25° + 146° + 149° + c = 360°

320° + c = 360°

c = 360° - 320°

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The measure of angle bcd of the polygon abcd is 40°.

Hence, option b) 40° is the correct answer.

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8 0
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1. Which of the following questions has a constant of
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here, \frac{y}{x}  = 1  ≠ 7

4 0
3 years ago
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