Solve G(x) for the given domain. Include all of your work in your final answer. Submit your solution. G(x) = 3x 2 - 2x - 1
G(a + b) =

3a^2+6ab+3b^2-2a-2b-1

Step-by-step explanation:

For G(x), we must plug in (a+b) into G(x):

G(a+b) = 3(a+b)^2-2(a+b)-1

= 3(a+b)(a+b)-2(a+b)-1

= factor: 3(a^2+ab+ab+b^2)- (2a+2b)-1

= multiply: 3a^2+3ab+3ab+3b^2-(2a+2b)-1

= now factor the last part: 3a^2+3ab+3ab+3b^2-2a-2b-1

= add/subtract: 3a^2+6ab+3b^2-2a-2b-1

3a^2+6ab+3b^2-2a-2b-1

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

10 you would take 50/ .2

step-by-step explanation: