5.find the roots of the parabola given by the following equation.
2x2+ 5x - 9 = 2x
6.solve the inequality and graph the solution on a number line.
–3(5y – 4) ≥ 17

Part 5) The roots are x=-3 and x=1.5

Part 6) The solution on a number line is the shading area below of the line y=-1/3 (close circle)

Step-by-step explanation:

Part 5) Find the roots of the parabola given by the following equation

we know that

The formula to solve a quadratic equation of the form is equal to

in this problem we have

so

substitute in the formula

therefore

The roots are x=-3 and x=1.5

Part 6) Solve the inequality and graph the solution on a number line.

Solve for y

Subtract 12 both sides

Multiply by -1 both sides

Divide by 15 both sides

The solution is the interval -----> (-∞, -1/3]

All  real numbers less than or equal to negative one third

The solution on a number line is the shading area below of the line y=-1/3 (close circle)

The graph in the attached figure

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.