How do you factor this equation?
7x²+5x-3

Step-by-step explanation:

This is a quadratic expression.  Use the quadratic formula to find the roots, and then once you have the roots, write the corresponding factors.

The coefficients of this quadratic expression are a = 7, b = 5 and c = -3

The discriminant is b^2 - 4ac, or 5^ - 4(7)(-3), or 25 + 84 = 109.  Because this is positive, we know that the expression has two unequal, real roots.

Using the quadratic formula, we now find these roots:

      -b ± √(discriminant)

x =   which here is:

                   2a

      -5 ± √109

x =

             14

The factors can be found from these two roots.  The first one is

      -5 - √109                  5 + √109

(x - )  =  (x + )

             14                              14

and the second is

        5 - √109              

(x + )  

             14                

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.