Which of the following is a valid step in the solution of \root(4)(2x)+\root(4)(x+3)=0? \root(4)(2x))^(2)=(\root(4)(x+3))^( 2)
(\root(4)(2x))^(2)=(-\root(4)(x+3)) ^(2)
(\root(4)(2x))^(4)=(\root(4)(x+3))^ (4)
(\root(4)(2x))^(4)=(-\root(4)(x+3)) ^(4)

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

this is a very good question

step-by-step explanation:

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the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is