Answer:
1) 102.7 meters
2) 11
Step-by-step explanation:
1) -4.9x² + 75x = -4.9x² + 50x + 38
25x = 38
x = 1.52 s
Height = -4.9(1.52)² + 75(1.52) = 102.67904 m = 102.7 m
2) f(x) = x² + 3x - 2
f(2) = 2² + 3(2) - 2 = 8
f(6) = 6² + 3(6) - 2 = 52
Average rate of change:
(52-8)/(6-2) = 11
1)
I:y=3x-4
II:9x-3y=14
substitute y into II:
9x-3*(3x-4)=14
9x-9x+12=14
12=14
this is obviously not equal so there is no solution, the lines are parallel
2)
I:y=4x+6
II:5x-y=6
substitute y into II:
5x-(4x+6)=6
5x-4x-6=6
x=12
substiute x into II:
5*12-y=6
-y=6-60
-y=-54
y=54
the solution is (12,54)
Answer:
2x^3 - 2x^2 - 12x
Step-by-step explanation:
2x(x - 3)(x + 2)
= 2x ( x^2 + 2x -3x - 6)
= 2x (x^2 - x - 6)
= 2x^3 - 2x^2 - 12x (answer).
Answer:
X=32
Step-by-step explanation:
32-2=30
Answer: The slope of a line is m=(y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are the two points on the line.
So we have x1=0,y1=4 and x2=-8 y2=-1 this gives us =(-1-4)/(-8-0) =5/8
I don't know if this helped..