Farmer Alex has 32 llamas each of whom needs 10000 square feet of grazing area. He wants to enclose a rectangular pen along a st

We have a piecewise function consisting of a parabolic graph and a linear graph.

When the parabolic graph of is elevated by 6 units, the new equation becomes

.

Given that the parabola aligns with this requirement, its equation can be expressed as

The parabola extends to x=3, where there is an open circle at this point. Thus, we need to use a less than sign.

Next, the line's equation is determined as

Since there is a solid dot, we must employ the greater than or equal to sign.

Consequently, the piecewise function's equation is derived as

C is the right choice.

In this scenario, we'll define the following variables:

x: total volume of potting soil in liters.

y: quantity of potting soil allocated to each pot in liters.

To determine the number of pots, we can use the expression:

Substituting in the respective values yields:

Reformatting gives us:

When rounding down to the nearest whole number, we find:

The conclusion is:

Yao Xin is capable of filling 18 pots.

Answer:

$10

Step-by-step explanation:

Each hardcover book costs $12, resulting in a total of $60 for five of them out of $100. The remaining four paperbacks at $10 each amount to a total of $40.

I hope this was helpful!!!:)

Let x represent the hot dogs

and y represent the snacks

The equation x + y = 175

Rewrite x as 175 - y

And the second equation: 2.50x + 0.75y = 262.50

Substitute to get 2.50(175 - y) + 0.75y = 262.50

Which simplifies to 437.50 - 2.50y + 0.75y = 262.50

Rearranging gives -1.75y = -175

Hence, solving for y results in y = -175 / -1.75 = 100

Thus, 100 snacks and 75 hot dogs were sold