Vannorman Corporation processes sugar beets in batches. A batch of sugar beets costs $78 to buy from farmers and $18 to crush in

An inverse function will also qualify as a function if the original is a One-to-One function. This means that each y value corresponds to exactly one x value, thus ensuring that the inverse remains a function.

The function shown in option C meets this criteria, as all x values and y values are distinct. Therefore, the inverse of the function in option C will also be a functional relation.

In contrast, other options have repeated y values, indicating they do not exhibit the one-to-one characteristic.

Hence, the correct answer is option C

The formula to convert Fahrenheit to Celsius is:

Celsius = (Fahrenheit - 32) x 5/9

C(76.1) = (76.1 - 32) x 5/9
= (44.1) x 5/9
= 24.5

Hence, 76.1°F is equal to 24.5°C. 

The diagram below illustrates the issue at hand.

Question 1:
The maximum area of the pool equals half the area of the circle.

To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.

Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).

Question b:

To find the pool's area, we take the circle's area and subtract the triangle's area.

The area of the circle is 11309.73 square feet.

For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.

The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.

Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.

Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.

Given:

A quadratic function has a line of symmetry positioned at x = –3.5 with one root located at –9.

To find:

The second root.

Solution:

It is understood that the line of symmetry splits the quadratic function's graph into two identical halves. Hence, both roots are equidistant from this line.

This implies that the line of symmetry passes through the midpoint of the two roots.

Let the other root be denoted as x.

Multiply both sides by 2.

Add 9 to both sides.

Consequently, the other zero of the quadratic function is concluded to be 2.

Detailed explanation: If the class has 15 boys and 10 girls, this totals 25 students. The likelihood of selecting a girl first would be . After that selection, there would be one fewer girl and overall student, resulting in the probability for choosing another girl being . The final probability is obtained by multiplying these two results to yield .