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?
2. There are 18 other bottles in the fridge, because .6 of 30 is 18. 30 – 18 is 12, so there are 12 bottles of orange juice and cranberry juice.
4. If the probability of an event is 25%, then the probability of <em>not</em> that event is the other part of 100%. In other words, 1 – .25 = .75.
Simplifying makes a algebric expression easily understandable and solvable.
Answer:
It is the <em><u>second one</u></em>
Step-by-step explanation:
1st option does not include the number 2 from the equation above,
and 3 and 4, you do not have to divide anywhere in the equation, so those are no possibly correct.
So, We Need To Write An Equation. Lets Make Some Variables.
Max Amount He Can Spend: X
Max Amount Of Hours: H
Cost Per hour: P
Deposit : D
So, Lets Start.
We Can Write:
H = (X - D) / P
Now, Just Plug In The Known Values.
H = (30 - 15) / 3
That Is Our Equation.
Now, Just For Fun, I Will Solve It.
So, We Need To Simplify.
30 - 15 = 15.
So, We Have:
H = 15/3
So, We Know:
15/3 = 5.
So, We Can Substitute 5 for 15/3.
We Get:
H = 5
So, He Can Canoe For 5 Hours.
