Question

ALGEBRA 2 HW PLZ HELP (show work plz)

Answer 1

Answer:

a. 272 feet

b. 8 seconds

c. 1,296 feet

d. 17 seconds

Step-by-step explanation:

A) The function is $-16t^{2}$+256t+272

The y-intercept is 272, meaning that's where he started at (since he launched himself when x=0).

B) You can find this either by entering it into a calculator and looking at the table, or by factoring (no calculator).  To factor, separate -16 from the rest of the terms since everything in the polynomial ($-16t^{2}$+256t+272) can be divided by -16.  It should look like this:

-16($t^{2}$-16t-17)

Then factor it:

-16(t-17)(t+1)

From the factored version, we can tell that the x-intercepts are 17 and -1.  The maximum would be right in the middle of these.  8 is the value directly in between 17 and -1.

C) To find the y-value of the maximum, just solve the original equation using 8, the x-value for the maximum:

-16($8^{2}$)+256(8)+272

-16(64)+2,048+272

-1,024+2,320=1,296

D) We already figured out the x-intercepts earlier.  Since he can't reach the ground at -1, we know that he landed (touched the ground at y=0) at x=17.