<span>Given that Devorah
is filling a pool with a hose. The volume.H. In liters, of water coming
out of the hose in .m.minutes is given by the function H(m)=17.4m.
However it is a sunny day, and water is also evaporating from the pool.
Therefore,the volume ,V, in liters, of water in the pool m minutes after
devorah started filling it is given by V(m)=17m.
IfE be the volume of water, In Liters ,that has evaporated from the pool m minutes after devorah started filling it .
The formula for E(m) in terms of H(m) and V(m) is given by
E(m) = H(m) - V(m)
And
The formula for E(m) in terms of m is given by
E(m) = 17.4m - 17m = 0.4m</span>
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
Read more about composite function at
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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?
The answer is 586.17 cm^2
The answer to that would be 0.0098.
Answer:
C.
Step-by-step explanation:
When you write the equation of a line in slope-intercept form,
y = mx + b,
m is the slope.
Parallel lines have equal slopes.
The given line is
y = (4/5)x - 1
and has slope 4/5.
The only equation in the choices with slope 4/5 is in choice C whose line is
y = (4/5)x + 2.
