Determine the intervals on which the function is increasing, decreasing, and constant. A coordinate axis is drawn with a parabola pointing up that has vertex of 0,3. Increasing x 0 Increasing x > 0; Decreasing x 3 Increasing x > 3; Decreasing x < 3

  increasing: x > 0

  decreasing: x < 0

Step-by-step explanation:

It should be no mystery that the graph attached is decreasing where the graph is blue, and increasing where the graph is red. The turning point is the vertex.

  increasing: x > 0

  decreasing: x < 0

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3