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Hoochie [10]
2 years ago
14

HELLPPPPPPPPPP!!!!!!!!!!

Mathematics
1 answer:
Svetllana [295]2 years ago
3 0

Answer:

is there a picture?

Step-by-step explanation:

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Find the dimensions of the shaded region so that its area is maximized.<br> x=<br> y=
musickatia [10]
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.
3 0
3 years ago
John earns x dollas per hour. petra earn 2 dollars per hour more than him. How much do they earn altogether per hour?
satela [25.4K]
2x + 2 dollars, because you're adding x and x + 2
4 0
3 years ago
Please help solve this. (Answer is not 80)
blondinia [14]

Answer:

70

Step-by-step explanation:

180 -(60+65) = 180 - 125 = 55

180 - (50 + 55) = 180 - 105 = 75

180 - (35 + 75) = 180 - 110 = 70

3 0
3 years ago
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What type of graph would you use to compare the number of books at each price? In two or more sentences, explain
ollegr [7]

Answer:

line graph

Step-by-step explanation:

bar graphs are poi9ntloessfor this

6 0
3 years ago
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What is 56/108? they are even numbers so they can be simplified but I don't know how to do it right.
Andrews [41]
That answer is simplified to 7/12
3 0
3 years ago
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