Jimmy and Rick are practicing knot-tying for their rock climbing training. The number of knots that Jimmy can complete in x days is modeled by the function f (x) = 6x + 10, and the number of knots Rick can complete in x days is modeled by the function g (x) = 4x + 15.

After x days, the function that models how many more knots Jimmy can complete than Rick is given by h (x) =

Question

Mathematics

Griffen

19 August, 17:44

Jimmy and Rick are practicing knot-tying for their rock climbing training. The number of knots that Jimmy can complete in x days is modeled by the function f (x) = 6x + 10, and the number of knots Rick can complete in x days is modeled by the function g (x) = 4x + 15.

After x days, the function that models how many more knots Jimmy can complete than Rick is given by h (x) =

+1

Answers (1)

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Diamond Richard · Answer 1

H (x) = 2x-5

To find the difference or the amount more that Jimmy can do we subtract the two polynomials.

f (x) - g (x)

substitute

(6x+10) - (4x+15)

distribute the negative

6x + 10 - 4x - 15

combine like terms

2x-15 is the final answer for h (x)