Use the parabola tool to graph the quadratic function. F(x) = x^2 + 10x + 24

see below

Step-by-step explanation:

F(x) = x^2 + 10x + 24

Factor

( x+6) (x+4)

We have zeros at -6, -4

So the function crosses the x axis at -6 and -4

The vertex is 1/2 way between the zeros  so it is at -5

f(-5) = (-5+6) (-5+4) = 1 *-1 = -1 so the vertex is (-5,-1)

We know the parabola opens up

It has a y intercept of 24

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1