Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
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b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.
Answer:
1) 8
2) 450 ft^2
Step-by-step explanation:
Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.
The left over space in the store is the same amount of space as all the cameras space added together since each camera takes up half a square. That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the left over space, 450 ft^2.
Answer:
10 sqrt 3.
Step-by-step explanation:
sqrt30 = sqrt10 * sqrt 3
so sqrt30 * sqrt10
= sqrt10 * sqrt10 * sqrt3
= 10 sqrt 3.
16 days since 2/5 is 0.4 and there was 40 days then 2/5 * 40 is 16
Answer:

Step-by-step explanation:
We have two triangles and three rectangles.
The formula of an area of a triangle:

b - base
h - height
The formula of an area of a rectangle:

l - length
w - width
TRIANGLE:
b = 11 in, h = 7 in

RECTANGLE 1:
l = 11 in, w = 14 in

RECTANGLE 2:
l = 9 in, w = 14 in

RECTANGLE 3:
l = 8 in, w = 14 in

The Surface Area:

Substitute:
