Answer:
y = 2(x-3)^2 -12
y = -4/9(x-2)^2 +7 bonus
Step-by-step explanation:
The vertex form of a parabola is
y = a(x-h)^2 + k where (h,k) is the vertex
y = a(x-3)^2 - 12
We have one point given (0,6)
6 = a (0-3) ^2 -12
6 = a (-3)^2 -12
6 = 9a-12
Add 12 to each side
6+12 = 9a
18 = 9a
Divide each side by 9
18/9 = 9a/9
a=2
y = 2(x-3)^2 -12
We follow the same steps for the bonus
y = a(x-2)^2 +7
Substitute the point into the equation
3 = a (-1-2)^2 +7
3 =a (-3)^2 +7
3 = 9a +7
subtract 7 from each side
3-7 = 9a +7-7
-4 = 9a
Divide by 9
-4/9 =a
y = -4/9(x-2)^2 +7
Tina bought 5 bottles of nail polish and 4 tubes of lip gloss.
This pic is the answer i believe
So we need to compare them at the sam ounches
find the least common multiple (the smallest number that they will both multiply into)
first find the factors and group them all together, delete any repeats
6=2*3
8=2*2*2
least common multiple=2*2*2*3=24
so 6 bags=2.46
multiply by 4 to get 24
24 bags=9.84
so 8 bags=3.20
multply by 3
24 bags=9.60
9.84>9.60 so
the 8 ounce bag is less expensive
Answer:
40 minutes
Step-by-step explanation:
We simply want to find the least common multiple (lcm) of the two times (5 and 8). Which is 40 minutes
For a more visual representation every 5 minutes Georgia will cross the starting line while it will take Susana 8 minutes to cross after starting at the same time.
So Georgia will cross at (5, 10, 15, 20, 25, 30, 35, 40) minutes
While Susana will cross at (8, 16, 24, 32, 40) minutes
