Answer:
12 is the answer.
Step-by-step explanation:
The best way to get the roots of the equation is to factorize the equation but when the factors are not possible then we should apply the quadratic equations formula to get the value of x.
Now we will try to factorize
x² - 8x -48 = 0
Now we multiply coefficient of highest degree term and constant term
48×1 = 48 which may be factored in 12×4. 8×6, 24×2.
Now we will choose 12×4 out of three because the 12-4 = 8 which is the coefficient of x.
Now its simple.
x²-12x + 4x -48 = 0
x(x -12) + 4(x-12) = 0
(x +4)(x-12) = 0
Therefore roots are x + 4 = 0
x = -4
and x - 12 = 0
x = 12
So the answer is 12.
Let x and y be the dimensions of the rectangle. If the perimeter is 40, we have
We can expression one variable in terms of the others as
Since the area is the product of the dimensions, we have
This is a parabola facing down, so it's vertex is the maximum:
So, the maximum is
And since we know that 
, we have 
as well.
This is actually a well known theorem: out of all the rectangles with given perimeter, the one with the greatest area is the square.
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Answer:
Tiffany ate 4 slices of pizza
Step-by-step explanation:
1/4 of 16 is 4
If you're asking about what the equation would be written as, then it's y = 1x + 1,400.
