Mrs Sogiba is catering for her son's birthday party. She has invited some of her son's friends to the
party. The number of friends is a composite multiple
of her son's age on his birthday. She has baked
48 cupcakes and each child will receive exactly the
same number of cupcakes. Use your knowledge of
multiples and factors to find out how old her son
will be on his birthday.
(This is not his first birthday party.)
​

hello from mrbilldoesmath!

answer:

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

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

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

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

find the vertical and horizontal asymptotes of the function f x = 5 x − 1 . to find the vertical asymptote, equate the denominator to zero and solve for . since the degree of the polynomial in the numerator is less than that of the denominator, the horizontal asymptote is .

step-by-step explanation: