"Rafael wants to buy new shoes. He found the shoes at three different online stores for a price of $60. The stores are each having a sale. ∙ Store X is offering free shipping with minimum $50 purchase.
∙ Store Y is offering 15% off the price of the shoes but shipping fee is $10.
∙ Store Z is offering a discount off the price of the shoes but shipping fee is $5.
. Based on the information, which statement is true?

Store X has the best price since the total cost of the shoes will be $60.

A. Store Z has the best price since the total cost of the shoes will be $59.

B. Store Y has the best price since the total cost of the shoes will be $55.

C. Store Y has the best price since the total cost of the shoes will be $55.

D. Store Y has the best price since the total cost of the shoes will be $61."

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

the answer would be d

straight away you can eliminate a and c because not all books contain a scientific skill because some may be fiction. c is also wrong because it saids that the only way children can learn is through books which is incorrect.

b is also wrong because reading can be a scientific skill but not always, therefore it is wrong which leaves you with d, the correct answer since it said that it can children learn.

hope this ! : 3

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

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