The volume is nine wholes and 3/4 or 9 3/4
8p² - 16p = 10
8p² - 16p - 10 = 0 Divide through by 2
4p² - 8p - 5 = 0
Multiply first and last coefficients: 4*-5 = -20
We look for two numbers that multiply to give -20, and add to give -8
Those two numbers are 2 and -10.
Check: 2*-10 = -20 2 + -10 = -8
We replace the middle term of -8p in the quadratic expression with 2p -10p
4p² - 8p - 5 = 0
4p² + 2p - 10p - 5 = 0
2p(2p + 1) - 5(2p + 1) = 0
(2p + 1)(2p - 5) = 0
2p + 1 = 0 or 2p + 5 = 0
2p = 0 -1 2p = 0 - 5
2p = -1 2p = -5
p = -1/2 p = -5/2
The solutions are p = -1/2 or -5/2
Answer:
37 hot dogs and 111 sodas
Step-by-step explanation:
148 divided by 4= 37
148 - 37= 111
if the number of sodas was three times it would have to be broken up into three groups making the hot dogs 37 and sodas three times the amout would be 111. hope this helped sorry for any spelling mistakes
The answer to the question is a direct variation. k=2
Answer:
y = 9
Step-by-step explanation:
Collect the like terms:
2y = 18
Divide both sides by 2 to make y on its own
y = 9
