Find value of x
6x−4=2(3x−2)

x =
(type your answer as a number, "no solution" or "infinite solutions")

Infinite Solutions

Step-by-step explanation:

6x-4=2(3x-2)

you distribute the 2... meaning you multiply the 2 by everything in the ()... 2*3x=6x... 2*-2=-4 then you get the same answer on either side you cancel them out and you get 0=0.

6x-4=6x-4

x = 2.5

Step-by-step explanation:

add like terms

6x - 4 = 2 (3x - 2)

9x = -4

x= 2.5

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5