Answer:
Domain: all real numbers. Range: (-∞, 2000]
Step-by-step explanation:
f(x)=2.5x is a simple "ramp" function, a linear function and a polynomial. As such, its domain contains "all real numbers." That value 800 defines the largest value that this f(x) can have: f(800) = 2.5(800) = 2000.
Thus, the range is "all real numbers from -∞ through and including 2000."
The sum of length and width of a rectangle is half the perimeter. Here the sum of length and width is 114/2 = 57 ft.
If we add 12 ft to this total, we have a value that is 3 times the width.
The width of the sign is 69 ft/3 = 23 ft.
The length of the sign is (2·23 -12) = 34 ft.
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From the problem statement, using L and W for length and width:
... L = 2W -12
... P = 114 = 2(L +W)
Dividing the second equation by 2 and substituting for L, we have ...
... 57 = (2W -12) +W
... 69 = 3W . . . . . . . . add 12
... 23 = W . . . . . . . . . divide by 3
P6 is the answer,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Answer:
448=h
Step-by-step explanation:
512 - h = 16 x 2²
512 - h = 16 x 4
512 -h = 64
then subtract 512 from both sides
-h = -448
two negatives equal a positive
h=448