Isolate the x.
8x - 6 > 12 + 2x
Add 6 to both sides, and subtract 2x from both sides
8x (-2x) - 6 (+6) > 12 (+6) + 2x (-2x)
8x - 2x > 12 + 6
Simplify. Combine like terms
8x - 2x > 12 + 6
6x > 18
Isolate the x. Divide 6 from both sides
6x/6 > 18/6
x > 18/6
x > 3
Any number that is greater than 3 (3 not included), is your answer.
5 is your answer
hope this helps
The dotted line represents y = x
area below this is y < x
Also y < 4 ( below the horizontal dotted line
Its choice C.
F(gx)
f(-x-4) = 2(-x-4) + 3
F(-x-4)= -2x-8+3
F(-x-4)= -2x-5
G(fx)
G(2x+3)= -(2x+3) -4
G(2x+3)= -2x-3-4
G(2x+3)= -2x-7
F(hx)
F(x^2)=2x^2+3
H(fx)
H(2x+3)= (2x+3)^2
H(2x+3)= (2x^2) + 2(2x)(3)+3^2
H(2x+3)= 4x^2+12x+9
[I think I messed up with the last one. I didn’t know how to get the correct answer for that. Sorry ]
ANSWER

EXPLANATION
Let the equation of the sine curve be of the form;

where a=5 is the amplitude and period,

This implies that


We substitute the values we got so far into our equation to obtain;

When we substitute (2,0) we obtain;

Solve for c.




Hence our equation becomes

The correct choice is D.
Answer:
(5,2)
Step-by-step explanation:
midpoint formula for future reference
(x1+x2/2),(y1+y2/2)
(3+7/2),(-5+9/2)
(10/2),(4/2)
(5,2)