Question

Water is added to two containers for 16 minutes. The equations below model the ounces of water, y, in each container after x minutes. At the time after the start when the containers hold the same amount of water, how much water do they hold?
Container A: y= 16x+104
Container B: y= -2x²+40x+160

A. 360 oz.
B. 328 oz.
C. 232 oz.
D. 136 oz.

Answer 1

well when is the amount in A equal to the amount in B ??
16 x + 104 = -2 x^2 + 40 x + 160
well first divide everything by 2 to make it easy
8 x + 52 = - x^2 +20 x + 80
now put everything on the left
x^2 + 8 x - 20 x + 52 - 80 = 0
or
x^2 - 12 x - 28 = 0
go here
x = -2 or x = 14
use x = 14
y = 16(14) +104 = 328 ounces
or
y = -2 * 14^2 + 40 * 14 + 160 = -392 + 560 + 160 = 328 remarkable

Answer 2

https://www.mathsisfun.com/quadratic-equation-solver.html

sorry, forgot quad eqn link

Answer 3

The answer is B 328

Answer 4

thanks:)

Answer 5

thanks i used 3 calculators and could not get the answer