Group and factor
group y's with y's and z's with z's
(y²-10y)+(10z-yz)
factor
y(y-10)+z(10-y)
force undistribute -1
-y(10-y)+z(10-y)
factor
(10-y)(-y+z)
(z-y)(10-y) or
(y-z)(y-10)
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?
By definition, the prism volume is given by:
Where,
Ab: base area
L: long
Substituting values we have:
Answer: The volume of the triangular prism is:
Mean because all of the data points are
fairly close and there aren't any outliers
(extreme values)
Answer: convex
Step-by-step explanation:A convex polygon is a simple polygon (not self-intersecting) in which no line segment between two points on the boundary ever goes outside the polygon. Equivalently, it is a simple polygon whose interior is a convex set.