Answer:
-7/2 = -2(x-1/2)^2
Step-by-step explanation:
0 = –2x^2 + 2x + 3
Subtract 3 from each side
-3 = –2x^2 + 2x
Factor out the -2
-3 =- 2(x^2 -x)
Take the coefficient of x and divide by 2 and square it
-1 /2 = -1/2 ^2 = 1/4
Add it to each side Remember the -2 on the outside so we need to multiply it by -2
-2 *1/4 = -1/2
-3 -1/2= -2(x^2 -x +1/4)
-7/2 = -2(x^2 -x +1/4)
-7/2 = -2(x-1/2)^2
Answer:
p = 22.50 + 15t
Step-by-step explanation:
For Malik :
Membership fee = m
Rate per tournament = t
After 4 tournaments :
m + 4t = 85 - - - (1)
After 7 tournaments :
m + 7t = 130 - - - (2)
Subtract 2 from 1
4t - 7t = 85 - 130
-3t = - 45
t = 45 / 3
t = 15
Put, t = 15 in (1)
m + 4(15) = 85
m + 60 = 85
m = 85 - 60
m = 25
Massai pays 10% less membership fee than Malik
Hence, Massai's membership fee:
(100 - 10)% * 25
0.9 * 25 = $22.50
Total price, p, Massai will pay to compete in t tournaments ;
Total price = membership fee + (rate per tournament * number of tournaments)
p = 22.50 + 15t
Answer:
50 seconds
Step-by-step explanation:
divided 150 by 3
Answer:
The fraction of the day Rehee spent pulling weeds = 1/16
Step-by-step explanation:
Let us take the fraction representing a whole day to be a whole number - 1
Renee spent 1/8 of the day landscaping around the house.
This means she spent 1/8 X 1 landscaping around the house = 1/8
She spent half of the time pulling weeds.
This means she spent 1/2 of 1/8 of 1 landscaping around the house = 1/16
1/2 X 1/8 X 1 = 1/16
The fraction of the day Rehee spent pulling weeds = 1/16
Step-by-step explanation:
By Geometric mean property:
