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:
$1 every 3 minutes
Step-by-step explanation:
Cause every 36 minutes Scarlett earns $12 and if you divide 36 by 12 it will give 3 minutes which means she earns $1 per 3 minutes. You're right.
Answer:
Step-by-step explanation:
The vertices of quadrilateral ABCD are A(1,0) B(5,0) C (7,2) D(3,2).
The slope of side AB is
The slope of side BC is
The slope of side CD is
The slope of AD is
We see that the opposite sides of the quadrilateral ABCD are equal.
Hence the quadrilateral is a parallelogram
Answer:
3/4
Step-by-step explanation:
Answer:
<em>Well, 375 is a composite number.
</em>
<em>Prime factorization: 375 = 3 x 5 x 5 x 5, which can be written 375 = 3 x (5^3)
</em>
<em>The exponents in the prime factorization are 1 and 3.</em>
<em>Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375.
</em>
<em>Factor pairs: 375 = 1 x 375, 3 x 125, 5 x 75, or 15 x 25. </em><em>Good Luck!</em>
