If f(x) = 3x - 5 and g(x) = 7x + 2, what is (f*g)(x)?

21x^2 -29x - 10

Step by step explanation:

Multiply each term of the first function with the terms of the other function:

(3x * 7x) + (3x * 2) + (-5 * 7x) + (-5 * 2)

(21x^2) + (6x) + (-35x) + (-10)

21x^2 + 6x - 35x - 10

Next, combine like terms. The first term is unalike the others, so it stays the same. The second and third terms in that equation are alike, so you can add them together and you get -29x. The last term is -10, which is not like any of the other terms, so it is unaffected. So you're left with 21x^2 -29x -10 as your product.

they are simplified

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x