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AURORKA [14]
3 years ago
6

Evaluate each expression if a= 12, b =9, c= -4 (a2/4b)+c

Mathematics
1 answer:
Contact [7]3 years ago
4 0
Here it issssss #studywell

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The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Solve for x. Round to
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 Length = x + 2  (because it is 2 cm more than x)
Width = 2x - 5   (5 cm lest than 2x)Area = 54 cm2  this is the formula to find the area Length × Width = Area (x + 2)(2x - 5) = 542x2 - x - 10 = 54   (this is you area)

  Subtract 54 on both sides of equation to make the right side zero. 2x2 - x - 64 = 0  then use the quadratic formula x = (-b ± √(b2 - 4ac)) / 2a where:a = 2b = -1c = -64 Plug in these values into the formula. x = (1 ± √(1 - 4(-128))) / 4 x = (1 ± √(513)) / 4 x = (1 ± 22.65) / 4 x = (1 + 22.65) / 4          and          x = (1 - 22.65) / 4 x = 5.91                          and          x = -5.41  Check the validity of the x values by adding them to the length and width.  If the length or width should be a negative value, then that value of x is not acceptable. Now x = 5.91 Length = 5.91 + 2  (positive value.)Width = 2(5.91) - 5  ( positive value.) x = 5.91    If we look at this -- x = -5.41, Both length and width will be negative values. We reject this value of x.  The answer is x = 5.91

Hope I helped and sorry it was really long
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The regression line equation is y=85+16x, the value of the slope is shown as constant 16 and it's a positive constant, hence the correlation between the amount of gas used and degree of the days is a POSITIVE correlation. 
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