Please Help! What are the solutions to the system of equations?

khxgx dgxjntunbxh hf

Step-by-step explanation:

fhxfbfh hfdffcdbddfhb th

2nd option

Step-by-step explanation:

Given the equations

y = 2x² - 6x + 3 → (1)

y = x - 2 → (2)

Substitute y = 2x² - 6x + 3 into (2)

2x² - 6x + 3 = x - 2 ( subtract x - 2 from both sides )

2x² - 7x + 5 = 0 ← in standard form

(2x - 5)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 2.5

Substitute these values into (2) for corresponding values of y

x = 1 : y = 1 - 2 = - 1 ⇒ (1, - 1 )

x = 2.5 : y = 2.5 - 2 = 0.5 ⇒ (2.5, 0.5 )

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation:

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