Aball is thrown upward with an initial velocity of 40 feet per second from ground level. the height of the ball, in feet, after t seconds is given by h= -16t^2 + 40t. at the same time, a balloon is rising at a constant rate of 10 feet per second. its height, in feet, after t seconds is given by h = 10t. find the time it takes for the ball and the balloon to reach the same height and explain.

i think it is 70

step-by-step explanation:

hi there!

the answer will be d: 2

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200