Raul is attempting to factor the expression in his first step, he rewrites the expression as which of the following statements in true about raul’s work?

C. The two middle coefficients multiply to the correct number, but do not add to the correct number.

Step-by-step explanation:

Question says to factor

Now we need to find about which of the given value pairs can be used as m and n to factor the expression.

Compare   with standard quadratic form , we get:

a=3, b=-14, c=-5

Then ac=3(-5)=-15

Now we need to find two numbers m and n such that

m*n=ac=-15

and m+n=b=-14

only choice that satisfies above equations is m=-15 and n=+1

But Rahul is using +15x and -1x which will give error addition.

Hence correct choice is C. The two middle coefficients multiply to the correct number, but do not add to the correct number.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

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