5+25=48 becase you add 12 each time
For this case, the first thing to do is find the equation of the line in order to model the problem mathematically.
Using Excel (see attached image) we find that the equation of the line is:
y = 0.0035x - 3 We evaluate for:
For x = 7000: y = 0.0035 * (7000) - 3
y = 21.5 $
For x = 10000 y = 0.0035 * (10000) - 3
y = 32 $
For x = 13000 y = 0.0035 * (13000) - 3
y = 42.5 $
Answer: The total water cost when the barber shop uses 7,000 gallons, 10,000 gallons, and 13,000 gallons is: 21.5 $, 32 $, 42.5 $, respectively.
The value of x is the number inside the parenthesis, so h(-4) gives x a value of -4.
The equation says when X is ≤ -4 use the first equation
So h(-4) = -1/2(x) -15
= -1/2(-4) -15
= 2 -15
= -13
When x = -2 (h(-2) ) use the 2nd equation:
h(-2) = 20-3x^2
=20-3(-2)^2
= 20-3(4)
=20-12
=8
Now you have -13 + 3(8)
= -13 + 24
=11
The answer should be 11
Hello,
Answer C
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F(a+h) = 3(a+h) + 1 = 3a + 3h + 1
f(a) = 3a + 1
f(a+h) - f(a) = 3a + 3h + 1 - 3a - 1 = 3h
Answer: 3h