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fgiga [73]
3 years ago
8

Frenchie’s Tool rental charges customers $16 per hour to rent a riding lawnmower. Make a table of ordered pairs in which the x-c

oordinate (domain) represents the number of hours and the y-coordinate (range) represents the total cost of renting the lawnmower for 3, 7, 8, and 12 hours.
Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

\begin{array}{cc}x&y\\ \\3&48\\7&112\\8&128\\12&192\end{array}

Step-by-step explanation:

Let x represents the number of hours and y represents the total cost of renting the lawnmower.

Frenchie’s Tool rental charges customers $16 per hour to rent a riding lawnmower, then renting for x hours costs $16x, thus,

y=16x.

When x = 3, then y=16\cdot 3=48

When x = 7, then y=16\cdot 7=112

When x = 8, then y=16\cdot 8=128

When x = 12, then y=16\cdot 12=192

Therefore, the table is

\begin{array}{cc}x&y\\ \\3&48\\7&112\\8&128\\12&192\end{array}

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(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917

Step-by-step explanation:

Given

f(x) = 5x^2+6\\g(x) = 7x

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(f o g)(x) = 5(7x)^2+6\\= 5(49x^2)+6\\=245x^2+6\\(g o f)(x) = 7(5x^2+6)\\= 35x^2+42\\(fog(x))=245x^2+6f(g(-4)) = 245(-4)^2+6 \\=245(16)+6\\=3920+6\\=3926\\g(f(x)) = 35x^2+42\\g(f(5)) = 35(5)^2+42\\=35(25)+42\\=875+42\\=917

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(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917

Keywords: functions, Function composition

Learn more about functions at:

  • brainly.com/question/4279146
  • brainly.com/question/4354581

#LearnwithBrainly

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