Which equation shows y = − 12x +4 in standard form? a. x + 2y = 8 b. 2x + y = 8 c. x + 2y = − 8 d. 2x − y = 8

The equation that shows y=-(1/2)x+4 is standard form is x+2y=8

Option A. x+2y=8

Solution:

y=-(1/2)x+4

Standard form of the equation Ax+By=C, with A, B, and C integer numbers

The coefficient of x is a fraction. To simplify the fraction, let's multiply both sides of the equation by 2:

2y=2 [ -(1/2)x+4]

2y=-2(1/2)x+2(4)

2y=-(2/1)(1/2)x+8

2y=-[(2*1)/(1*2)]x+8

2y=-(2/2)x+8

2y=-1x+8

2y=-x+8

The two variables must be on the left of the equation, then adding x both sides of the equation:

2y+x=-x+8+x

x+2y=8

This is you correct answer

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5