G(x)=4x^2-16
To shift to the right we have to subtract from the value of x, in this case by 5 units...
h(x)=4(x-5)^2-16
h(x)=4(x^2-10x+25)-16
h(x)=4x^2-40x+100-16
h(x)=4x^2-40x+84
Now to shift the function downwards by 2 units we must subtract the constant 2 from h(x)
h(x)=4x^2-40x+84-2
h(x)=4x^2-40x+82
Answer:
Required,
Step-by-step explanation:
Given volume and depth respectively,
and 
To find length and width of the rectanglular swiming pool we know,
Volume=length
heightdepth.
Let depth=D=x-3, length=L, width=W, then
After divide we will get 
with remainder -144.
Thus,
Now to find root of,
Thus,
A) The inverse of the statement is the opposite. The statement stated that if two lines do not intersect, they are parallel. So, the opposite would be if two lines intercept, they are parallel. This inverse statement is false because, that is not true. Parallel lines mean they never intercept, not if they intercept its parallel.
b) Converse means to engage or explain, I think…so, the converse of the statement would be that yes, it is true that when two lines do not intercept then they are parallel. Because parallel lines never cross or meet, meaning they will NEVER ever have a crossing point.
c) the contrapositive of the statement would be: if two lines do not cross then they are parallel. If they do intercept, then they are not parallel. As simple as that. I think contrapositive means that…I looked what contrapositive means…so I think I’m right.
I hope this helps!! Or some at least. :)
Good luck!
you just need to divided 3 by 9 and it will be 3 or you can divide 6 by 18 and it will be the same so the unite rate is $3
The equilibrium constant of the reaction is 0.0030.
The equation of the reaction is given as;
N2(g) + 3H2(g) ⇆ 2NH3 (g)
We have the following information at equilibrium;
[NH3] = 0.105 M
[N2] = 1.1 M
[H2] = 1.50 M
Hence, we can calculate the equilibrium constant using the relation;
K = [NH3]^2/ [N2] [H2]^3
Substituting values;
K = [0.105]^2/[ 1.1] [1.50]^3
K =0.011025 /3.7125
K= 0.0030
Learn more: brainly.com/question/17960050
