One pumpkin is launched from a height of 7 meters. The initial upward velocity of the pumpkin is 24 meters per second. The acceleration due to gravity (g) on the pumpkin is –9.8 meters per second squared. One equation for the height h (in meters) of the pumpkin at the time t seconds is: LaTeX: h\left(t\right)=\frac{1}{2}(acceler ation due to gravity)(LaTeX: t seconds)LaTeX: ^2+(velocity)(LaTeX: t seconds)LaTeX: +(initial height in meters)

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

8 2/3 is the answer

step-by-step explanation: just use a calculator

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

1.30

step-by-step explanation: