**Answer:**

**Step-by-step explanation:**

**IMPORTANT FORMULA: the standard equation of a hyperbola whose transverse axis is parallel to the y axis is:**

where, (h,k) : center of the hyperbola

a : semi conjugate axis [ length of conjugate axis/2]

b: semi transverse axis [ length of transverse axis/2]

- so, here a=3, b=7, [h,k]=[-5,8]

- by substituting these values in the above given formula,

- the equation of the hyperbola in standard form is :

**Answer:**

The answer is that the table is not a proportional relationship.

**Step-by-step explanation:**

It's not a proportional relationship because the number was not a constant variable.In order for the table to have a proportional relationship the number has to be the same for all of the ratios.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Hope this helps!!

Consider the x-y axis. The x-y- axis is the whole plane, it contains the set of all possible pairs (x, y), where x and y are real numbers.

The set

y ≤ 5, includes all those points (x, y) in the plane whose y coordinate is less than or equal to 5. Thus, x can be any number, but y has the restriction

of being at most 5.

According to this discussion, the graph is as in the picture attached. We color the horizontal line y=5, and all points below it.

**Answer:**

5 / 9

**Step-by-step explanation:**

Total people = 24 + 30 = 54

Children = 30

30 / 54 = 5 / 9