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Answer:

y=4x+7.75; continuous

Step-by-step explanation:

Let’s first establish the equation. Julie requires one segment of yarn measuring 7.75 inches: that's already known.

y = 7.75

Now, for the four pieces of yarn, each will be of equal length x. If she wants them to measure 1 inch, she'd need 4 inches of yarn. Therefore, the calculation would be:

y = 7.75 + 4x

Now, is this graph discrete or continuous? Continuous indicates there's a smooth line without gaps, while discrete has interruptions or spaces. In this scenario, x is continuous, as Julie can cut the yarn to any size for the four pieces. She is not limited to whole numbers; each piece could be, for instance, 2.5 inches or 3.1415 inches.

Answer:

There are 369 students who enrolled in either calculus or discrete mathematics.

Step-by-step explanation:

I'll create a Venn diagram to illustrate these figures.

Let’s define:

A represents the count of students who completed calculus.

B stands for those who took discrete mathematics.

We have the following:

Here, a denotes the students who studied calculus exclusively, while represents those who took both subjects.

Using the same reasoning:

There are 188 students taking both calculus and discrete mathematics.

This implies that

A total of 212 students studied discrete mathematics.

345 students have attended a calculus course.

We find the total number of students who took either calculus or discrete mathematics.

A total of 369 students participated in either calculus or discrete mathematics.

Answer: 3hk - 12.4h

Step-by-step explanation:

h(3k-12.4)

h multiplied by 3k results in 3hk, and h multiplied by 12.4 gives -12.4h.

So, the outcome is 3hk - 12.4h