Step-by-step explanation:
y = x² - 4x + 7
the general vertex form is
y = m(x-h)² + k
to bring the part "x² -4x" to an expression of (ax + b)² we need to add 4, as "x² - 4x + 4" = (x - 2)².
and since we add 4 there, we need to subtract 4 overall again to keep the value of the expression the same :
y = x² - 4x + 4 + 7 - 4 = (x - 2)² + 7 - 4 = (x - 2)² + 3
and so, that is the vertex form :
y = (x - 2)² + 3
65= 14x + 23
65-23= 42
42=14x
42/14 =3
3=x
she can buy 3 cds
H(10,000) = 10 · 10,000
= 100,000
Answer: 10,000
2 cups of flour x cups of flour
–––––––––––– = –––––––––––––
24 cookies 54 cookies
cross multiply
2*54=24x
24x=108
x=4.5
4.5 cups of flour
