Answer:
X+y=30
X=30-y
Z=yx
Z=y(30-y)
D/dy
z=30–2y
At max 30–2y=0
2y=30 Y=15
Therefore x=15
Step-by-step explanation:
Answer:
x ∈ [-2, 7]
Step-by-step explanation:
The given equation ...
x^2 -5x -4 ≤ 10
can be rewritten as ...
x^2 -5x -14 ≤ 0
and factored as ...
(x +2)(x -7) ≤ 0
Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.
x ∈ [-2, 7]
When it hits the ground h = 0 so we have
-16t^2 + 36t + 4 = 0
t = 2.36 seconds to nearest hundredth.
Answer: B, The means and medians are not the same
Step-by-step explanation: i h8 edguinity
Answer: the actual length and width of the room is 24ft by 36ft
Step-by-step explanation:
The scale on the architectural plans for a new house is 1 in. equals 4 ft. This means that every 1 inch on the on the architectural plan represents 4 feet on the actual building.
Therefore, if the length of the room as measured on the drawing is 6 inches, the actual length of the room will be
6 × 4 = 24 feet
Also, if the width of the room as measured on the drawing is 9 inches, the actual width of the room will be
9 × 4 = 36 feet
