The Hoffman family has bought one pizza on Friday night every week for the last 10 years.

The square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. But note that (−4) × (−4) = 16 also, so −4 is also a square root of 16. This is why each nonzero interger has two square roots.

The cube root of a number is a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3. But cube root is unlike square root where as -3 × -3 × -3 = -27 not 27 therefore there is only one cube root.

I hope this helps

6 0

2 years ago

The table below shows the amount paid for different numbers of items. Determine if this relationship forms a direct variation. V

Elden [556K]

<h2>Answer/Step-by-step explanation:</h2>

Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.

The ratio of between y-variable and x-variable would be constant.

Direct variation can be represented by the equation, $y = xk$ , where k is a constant. Thus,

$\frac{y}{x} = k$

From the table given, it seems, as x increases, y also increases. Let's find out if there is a constant of proportionality (k).

Thus, ratio of y to x, $\frac{0.50}{1} = 0.5$

k = 0.5.

If the given table of values has a direct variation relationship, then, plugging in the values of any (x, y), into $\frac{y}{x} = k$ , should give us the same constant if proportionality.

Let's check:

When x = 2, and y = 1:

$\frac{y}{x} = k$ ,

$\frac{1}{2} = 0.5$ ,

When x = 3, y = 1.5:

$\frac{1.5}{3} = 0.5$ ,

When x = 5, y = 2.50:

$\frac{2.5}{5} = 0.5$ ,

The constant of proportionality is the same. Therefore, the relationship forms a direct variation.

5 0

2 years ago

4. Lola is 15 years old and works in a factory every weekend. Why might this be illegal? What are the specific laws protecting L

gulaghasi [49]

This is not illegal because she is 15. in factories you have to be at least 15 years old. but age 16 is the appropriate age for you to work in a factory.

5 0

2 years ago