Rick got 7 over 8 pound of honey from a hive. He calculated the quotient of 7 over 8 ÷ 5 over 6. Which statement shows the quotient and gives the most likely explanation of what Rick was trying to determine? He can make 35 over 42 of a bottle of honey with 5 over 6 pound of honey in each bottle.
He can get 35 over 42 pound of honey if he divides the honey into 5 over 6-pound portions.
He can make 1 and 2 over 40 bottles of honey with 5 over 6 pound of honey in each bottle.
He can get 1 and 2 over 40 pounds of honey if he divides the honey into 5 over 6-pound portions.

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81

one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points

it is ok do not worry about it my dude. have a good one

i want your wallet gsgsgesges