A stone is thrown vertically into the air at an initial velocity of 79 ft/s. On a different planet, the height s (in feet) of the stone above the ground after t seconds is sequals79tminus3t squared and on Earth it is sequals79tminus16t squared. How much higher will the stone travel on the other planet than on Earth?

feet higher the stone will travel on the other plant than on Earth.

Step-by-step explanation:

Initial velocity of the stone thrown vertically = 79 ft/s

It is given that:

Height attained on a different planet with time :

Height attained on Earth with time :

If we have a look at the values of , it can be clearly seen that the part is common in both of them and some values are subtracted from it.

The values subtracted are respectively.

can never be negative because it is time value.

So, coefficient of will decide which is larger value that is subtracted from the common part i.e. .

Clearly, have are the larger value, hence .

So, difference between the height obtained:

So, feet higher the stone will travel on the other plant than on Earth.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.