Given the following: f(a) = x2 - 8x + 4; g(x) = 4x – 3; and h(x) = x + 2. complete the following: (h. g)(x) 4x2 + 5x – 6 -22 + 12x - 7 22 – 12x +7 4x3 – 35x2 + 403 - 1

(h.g)(x) = 4x^2 + 5x - 6

Step-by-step explanation:

Given the following: f(a) = x^2 - 8x + 4; g(x) = 4x – 3; and h(x) = x + 2.

(h.g)(x) = (4x – 3)(x + 2)

(h.g)(x) = 4x^2 + 8x - 3x - 6

(h.g)(x) = 4x^2 + 5x - 6

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.