9514 1404 393
Answer:
y = -16x² +180
Step-by-step explanation:
The vertex appears to be the high point of the graph, (0, 180). Then the vertex form equation is ...
y = a(x -0)² +180
The value of 'a' can be found using the other given point. Substituting for x and y, we have ...
164 = a(1 -0)² +180
-16 = a
Then the complete simplified vertex form equation is ...
y = -16x² +180
Answer:
6 < x ≤ 20
Step-by-step explanation:
First, let's use the points (0, 50) and (20, 0) to find the equation of the line.
m = Δy / Δx
m = (0 − 50) / (20 − 0)
m = -2.5
y = -2.5x + 50
Now find the time when y = 35.
35 = -2.5x + 50
-15 = -2.5x
x = 6
So there is less than 35 gallons in the barrel when 6 < x ≤ 20.
Answer: =
Write the expressions backward from month 12 to month 1 to get this series:
50 + 50(1.003) + 50(1.003)2 + ... + 50(1.003)11
Convert the series to sigma notation, and find the sum of the 12 terms in the series:
11
S12 50(1.003)
ko
50(1 - 1.00312)
1 - 1.003
610
Esther will have about $610 in her savings account after a year. She would have deposited $600 over 12 months, so she
will have earned $10 in interest.
Step-by-step explanation:
1) 5z-9
2) 7q+12
3) 5.4n-1
4) w+2
5) 8x+2
X^2 - 2x + 4
= (x - 1)^2 - 1 + 4
= (x - 1)^2 + 3
