Write g(x) = 40x + 4x2 in vertex form. Write the function in standard form.
Factor a out of the first two terms.
Form a perfect square trinomial.
Write the trinomial as a binomial squared.

g(x) = 4x2 + 40x

g(x) = 4(x2 + 10x)

(ten-halves) squared = 25

g(x) = 4(x2 + 10x + 25) – 4(25)

g(x) =
(x +
)2 –

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

∈3,600

step-by-step explanation:

2

step-by-step explanation: