Which system of inequalities is graphed below

Option D

Step-by-step explanation:

Let's explain why the Option D is correct :

This is a parabola equation with vertex at x = -8.

Despite that the "traditional equation" is  in this case  the parabola equation is plotted in the X axis and has a sign which indicates that X will take values less and equal than

The graph of the parabola is attached to the answer.

This is a hyperbola equation with center at (0,0) and vertex's : V1=(3;0) and V2=(-3;0)

The two points (0;5) and (0;-5) on the Y axis are not on the hyperbola.

It's similar to the previous case of the parabola, Despite that the "traditional equation"  of the Hyperbola :  in this case  the hyperbola  equation has a sign which indicates that hyperbola will take values greater than those who correspond to

The graph of the Hyperbola is also attached

Finally we deduce  that the  D system of inequalities is the correct one.

Also the answer is attached.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

range is infinite on both x and y axis positive and negative

step-by-step explanation: