9514 1404 393
Answer:
5/2 = 2.5
Step-by-step explanation:
The slope is given by ...
m = (y2 -y1)/(x2 -x1)
Using the first two lines in the table, this is ...
m = (10 -5)/(2 -0) = 5/2
The slope of the line is 5/2.
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As a decimal, that is 2.5.
Answer:
if you are solving for x the answer is -5/2 and for y answer is 5
Step-by-step explanation:
1. Find the equation of the line AB. For reference, the answer is y=(-2/3)x+2.
2. Derive a formula for the area of the shaded rectange. It is A=xy (where x is the length and y is the height).
3. Replace "y" in A=xy with the formula for y: y= (-2/3)x+2:
A=x[(-2/3)x+2] This is a formula for Area A in terms of x only.
4. Since we want to maximize the shaded area, we take the derivative with respect to x of A=x[(-2/3)x+2] , or, equivalently, A=(-2/3)x^2 + 2x.
This results in (dA/dx) = (-4/3)x + 2.
5. Set this result = to 0 and solve for the critical value:
(dA/dx) = (-4/3)x + 2=0, or (4/3)x=2 This results in x=(3/4)(2)=3/2
6. Verify that this critical value x=3/2 does indeed maximize the area function.
7. Determine the area of the shaded rectangle for x=3/2, using the previously-derived formula A=(-2/3)x^2 + 2x.
The result is the max. area of the shaded rectangle.
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Answer:
12.5 percent increase
Step-by-step explanation:
so we know from 48 oz to 54 oz, the amount increases by 6 oz
now we just have to determine 6 oz is what percentage of 48 oz
6 goes into 48 eight times
100 divided by 8 is 12.5
6 is 12.5 percent of 48
we can double-check this by multiplying 12.5 x 8 which equals 100 so that confirms its 12.5 percent
we get the 8 by seeing that 6 goes into 48 eight times.
if this is confusing comment below and i'll try to clarify
