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.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb