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Answer: -7 < x < 17</h3>
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Explanation:
Plug in the lower bound of the domain, which is x = -3
f(x) = 3x+2
f(-3) = 3(-3)+2
f(-3) = -9+2
f(-3) = -7
If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.
If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.
The range of f(x) is -7 < y < 17
Recall that the domain and range swap places when going from the original function f(x) to the inverse 
This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.
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In short, we found the range of f(x) is -7 < y < 17.
That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.
Answer:
That is true. More information below.
Step-by-step explanation:
A prime number has to have only two factors: 1 and itself. 1 only has one factor (itself) so it is, as you were saying, neutral.
Answer:
easy-peasy
Step-by-step explanation:
Perimeter:
P=2(a+b)
P=2(50+70)
P=2(120
P=240
Area:
A=50*70
A=3,500
I really hope it helped:)
Answer:
The area of a circle is given by the formula
area=πr2
we have the value of π=3.14 , and the radius is taken from the diameter of the window (bottom edge), using the relation:
r=diameter
2r=362
r=18
By substituting these values to the formula of a circle, we now have:
area= (3.14 ) (18) 2
area=1017.36
But since the window is a semicircle, the area will have to be divided in half, therefore,
area of a semicircle =1017.362
area of a semicircle = 508.68
Thus the window's area is equal to 508.68 sq in.