The value of the composite function (f - g)(x) is 5x - 25
<h3>How to determine the function (f - g)(x)?</h3>
The function definitions are given as:
f(x) = 15x + 25
g(x) = 10x + 50
The function (f - g)(x) is calculated using
(f - g)(x) = f(x) - g(x)
This gives
(f - g)(x) = 15x + 25 - 10x - 50
Evaluate the like terms
(f - g)(x) = 5x - 25
Hence, the value of the composite function (f - g)(x) is 5x - 25
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<u>Complete question</u>
Cynthia was offered two different jobs for the summer. working as a camp counselor, she will earn $15 per hour plus an additional $25 bonus. her earnings after x hours can be represented by the function f(x) = 15x + 25. working as a lifeguard, Cynthia will earn $10 per hour and an additional $50 bonus. her earnings after x hours can be represented by the function g(x) = 10x + 50. the arithmetic operation (f - g)x can be used to determine the difference in the salary Cynthia will earn working as a camp counselor instead of a lifeguard after x hours. what is the function (f - g)x?
Answer:
2bm + 7an
Step-by-step explanation:
Multiply.
8bm - 6an - bm + 5an - 5bm + 8an
Combined like terms:
8bm - <em>6an</em> - bm + <em>5an</em> - 5bm + <em>8an</em>
= 2bm + 7an
Simplest form of 12/15 is 4/5
To simplify the fraction, you need to divide both numerator (12) and denominator (15) by a number that goes into both numbers which is 3. You then end up with your fraction
Answer:
12 16 20. law of proportions
Answer:
16
Step-by-step explanation:
(b/2)^2
(8/2)^2 = (4)^2 = 16
(x^2+8x+16) = -3+16
(x+4)^2 = 13
so on so forth, but basically you add 16 which completes the square