Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?

Step-by-step explanation:

Given is a function

Since leading term is positive,

the parabola is open up.

Let us write this in vertex form after completing the square

Hence we get vertex= (-5/2,-1/4)

Since this is a parabola open up we have the minimum point is only one at x=-5/2

So we have the function decreasing for x<-2.5 and increasing for x>-2.5

Decreases in

Increases in

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.