The function f(t) = –16t2 + 250 represents the distance of a dropped object from the ground at any time, t. The equation g(t) = 15t represents the height of the object if it is tossed upward at a rate of 15 feet per second. The sum of the functions can be used to model the distance the dropped object is from the ground if it is tossed upward at a rate of 15 feet per second before it begins its descent. Which function models the sum?

h(t) = –16t2 + 265t
h(t) = –16t2 + 235t
h(t) = –16t2 – 15t + 250
h(t) = –16t2 + 15t + 250​

Option D

Step-by-step explanation:

Hello! Here is my explanation on how I got this

The expression f(t) = -16t2 + 250 and g(t) = 15t can be combined into h(t) = -16t2 + 15t + 250. I got this answer because you cannot combine the two expressions including the variable t. This also means that they have to be separated which they are in ever expression listed. Since g(t) = 15t is a positive expression, we can rightfully assume that h(t) = 16t2 + 15t + 250 is the correct answer.

Hope this helps! Let me know if you have any other questions!

nope

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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