2x^2 -8x+5=0
Rewrite this quadratic into vertex form and then give the vertex:

Step-by-step explanation:

Starting with

2

x

2

−

5

=

0

, first add 5 to both sides to get:

2

x

2

=

5

Divide both sides by 2 to get:

x

2

=

5

2

Take the square root of both sides (allowing both positive and negative roots) to get:

x

=

±

√

5

2

=

±

√

5

√

2

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

29933333.33

step-by-step explanation: