Answer:
Step-by-step explanation:
x^2 + 44^2 = 55^2
x^2 + 1936 = 3025
3025-1936 = 1089
sqrt(1089) = 33
x = 33
(5x²+4x-80)(x²-5x-24)=5x²(x²-5x-24)+4x(x²-5x-24)-80(x²-5x-24)
{distributive property of multiplication}
=5x^4-25x³-120x²+4x³-20x²-96x-80x²+400x+1920
=5x^4-21x³-220x²+304x+1920
This is the answer.
Step #1 for both: figure out which interval your x-value fits into.
For f(-2), x=-2 and -2 fits with x ≤ -2, the top interval.
For f(3), x=3 and 3 fits into -2 < x ≤ 3, the middle interval.
Step #2 for both, plug in your x-value to the piece of the function that fits with that interval.
For f(-2), we know x≤-2, so we use 2x+8 to evaluate x=-2.
For f(3), we know -2
f(-2) = 2(-2)+8 = -4+8 = 4
f(3) = (3)^2 -3 = 9-3 = 6
It would be Y=4/3x+9 for slope intercept form