How do I simplify this?

Domain: all real numbers except 0 and -3

Vertical asymptotes: x = 0; x = -3

Step-by-step explanation:

The domain is the set of numbers that can be substituted for x.

The expression has x in the denominator. Since division by zero is undefined, x cannot have any value that would cause a zero in the denominator.  To find which values of x cause a zero in the denominator, we set the denominator equal to zero and solve the equation for x.

2x^2 + 6x = 0

Factor 2x.

2x(x + 3) = 0

Divide both sides by 2.

x(x + 3) = 0

x = 0 or x + 3 = 0

x = 0 or x = -3

Since the values x = 0 and x = -3 cause the denominator to equal zero, these two values of x must be excluded from the domain.

Domain: all real numbers except 0 and -3

The vertical asymptotes happen at the x values excluded from the domain.

Vertical asymptotes: x = 0; x = -3

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.

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.