Divide the question thank you

x-6

Step-by-step explanation:

(x-6)

Step-by-step explanation:

There are many ways to divide this, one of them is done below.

(x^2-11x+30)/(x-5)

Factorize (x^2-11x+30),

(x^2-6x-5x+30)
(x(x-6)-5(x-6))
(x-5)(x-6)

We have,

(x^2-11x+30)/(x-5)
(x-5)(x-6)/(x-5)

(x-5) cancel each other,

(x-6)

You can also use synthetic division, traditional division or other methods of division.

answer: 323 is how many she has ☃☃⛄❄

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt