Asap 25 pts + brainliest to right/best answer

one real solution

Step-by-step explanation:

We can use the discriminant to find the types of solutions

b^2 -4ac  where    ax^2 +bx+c=0

Since

x^2 -8x+16 =0

we know a=1 b=-8 and c=16

(-8)^2 - 4(1)(16)

64 -64 = 0

If the discriminant > 0 we have two real solutions

If the discriminant = 0 we have 1 real solutions

If the discriminant < 0 we have two complex solutions

Since it equals zero, we have one real solution

One real solution because the answer is

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