Answer:
y = - (x - 3)² + 15
Step-by-step explanation:
using the method of completing the square
y = x² + 6x + 6 ← factor out - 1 from the first 2 terms
y = - (x² - 6x) + 6
to complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = - (x² + 2(- 3)x + 9 - 9) + 6
= - (x - 3)² + 9 + 6
= - (x - 3)² + 15
<em>$38 in Yolanda's bank account.</em>
<em>She makes two equal deposits so her account has a balance of $100.</em>
If Yolanda makes two equal deposits so her account has a balance of $100, she would have made a deposit of $31 each.
38+31+31=100
Answer:
35%
Step-by-step explanation:
The percent change is calculated as
× 100%
change = 222.75 - 165 = 57.75, thus
% change =
× 100% = 0.35 × 100% = 35%
Answer:
Josie bought 40 adult tickets and 32 children tickets.
Step-by-step explanation:
x+y=72
22x+10y=1200
-----------------------
x=72-y
22(72-y)+10y=1200
1584-22y+10y=1200
1584-12y=1200
12y=1584-1200
12y=384
y=384/12=32
x+32=72
x=72-32=40
x=40, y=32. (40, 32)