Choose the correct simplification of the expression (8x^4y^3)2
1 answer:
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Answer:
The dimension of the rug would be 17 ft × 9 ft.
Step-by-step explanation:
Given
length of the room = 27 ft.
width of the room = 19 ft.
suppose, she leaves a uniform strip of x ft. around the rug.
So,
The length of rug = (27-2x)ft.
Width of rug= (19-2x)ft.
∴ Area of the rug= length×width
According to the question,
( subtract 153 both sides)
( Middle term splitting)
or
( zero product property)
or
if x=18, dimension would be negative ( Not possible)
Thus, x= 5
Hence,
length of rug= 27-10=17 ft.
width of rug= 19-10=9 ft.
Answer:
Max = 86; min = 36.54
Step-by-step explanation:
Step 1. Find the critical points.
(a) Take the derivative of the function.
Set it to zero and solve.
(b) Calculate ƒ(x) at the critical point.
Step 2. Calculate ƒ(x) at the endpoints of the interval
Step 3.Identify the maxima and minima.
ƒ(x) achieves its absolute maximum of 86 at x = 1 and its absolute minimum of 36.54 at x = 3.490
The figure below shows the graph of ƒ(x) from x = 1 to x = 5.
