Answer:
length of the base = 9 ft
and height of the shed = 7 ft
Step-by-step explanation:
given data
volume = 567 cubic feet
base costs = $2 per square foot
roof costs = $5 per square foot
sides costs $4.50 per square foot
solution
we take here length of the base = x ft
and height of the shed = y ft
so Volume will be express as
volume = x²× y
567 = x² × y
y = 
and
we know cost of material is express as here
cost of material = cost of base + cost top + cost 4 side ..................1
put here value
cost = x²(2) + x²(5) + 4xy (4.5)
cost = 7x² + 18xy
put here y value
cost = 7x² + 18 x ( )
differentiate and we get
C' = 14x - 
we put here C' = 0 and we get
14x - = 0
solve it we get
x = 9 ft
and
y = 
y = 7 ft
294 x 2/3
=196 sold
294-296
=98 unsold
98 pumpkins were unsold.
Answer: -5
Step-by-step explanation:
Opposite sides of a parallelogram are parallel, and thus have equivalent slopes.
Answer:
1/81 meters
Step-by-step explanation:
Since it reaches a height of 1/3 the previous height after each bounce, we can set up an equation for "y", the balls height, after x bounces:
Therefore, to find the ball's height after 6 bounces we just plug-in 6 for x in the equation above to get 1/81.
Hope this helps :)
1. The answer would be (D). This is because you will plug is the (x) of the ordered pair into the equation(y=-2x), so first off would be (y=-2(-2)). since your multiplying a negative time a negative, you will get your (y) which is 4. Now you do this with the rest. -2(1)=-2 and -2(3)=-6.
2. This would be (A). This answer is simple. First you will take one of the equations (y=-x-1) and plug x into it's place so, y=-3-1, getting your answer(y) as being -4. Now you do the same with the other pair. y=-5-1, getting -6, showing (A) as your answer.
3.The answer will be (A)y is 2 times x. this is because you wou would make out the equation from the answer (y=2x). Now knowing your equation, all thats left is plugging in your (x) factors. so y=2(1), getting your (y) value of 2 and you would do this with the rest of your x factors.
4. y=5+x
y=5+(2)= 7
y=5+(3)= 8
y=5+(4)= 9
5. (B)y is 3 times x
y=3(x)
y=3(3)=9
y=3(4)=12
y=3(5)=15
6. (C)y is 6 less than x
y=6-(x)
y=6-(8)=2
y=6-(9)=3
y=6-(10)=4
