Plug it into a graphing calculator, I used Desmos.
The graph is the same as x=-2 and y=-4. All I did was replace g(x) with y since y is the output function and so is g(x), then I just added the whole expression as follows and it graphed it for me.
The bottom graph to the left is the answer.
I hope this helps!
~kaikers
A venue for lost when choosing between two options (2)
I just did this on edge
Answer:
16
Step-by-step explanation:
Perfect square in the quadratic from ax² + bx + c
You know an equation is perfect when:
2√(ax²)√(c) = bx
Substitute x² for ax² and 8x for bx. Then isolate c by doing the reverse operations.
2√(ax²)√(c) = bx
2√(x²)√(c) = 8x
2x√c = 8x Divide both sides by 2x
√c = 4 Square both sides to isolate c.
c = 16
The missing constant term is 16.
Check answer:
x² - 8x + 16
(x - 4)²
= (x - 4)(x - 4)
= x² - 4x - 4x + 16
= x² - 8x + 16
To calculate g, we use the formula F= mg. F is given as 180N, and m is given as 30 kg, therefore:
180N = (30kg)(g)
g = 6 m.s-1.
The motion of this object would be decreased on Earth as more force would be required to lift it. If we assume g is 9.8 m.s-1 on Earth, we can calculate the force required.
F = mg
= (30kg)(9.8 m.s-1)
= 294 N
