What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)

(0, - 24 )

Step-by-step explanation:

To find the y- intercept let x = 0 in the function and evaluate for y

f(0) = (0 - 8)(0 + 3) = - 8 × 3 = - 24 ← y- intercept ⇒ (0, - 24 )

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

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: