Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. If Hugh bought

Answer:

The correct options are:

The term 5x³ can be removed

The power of the first term, 5x³, can be modified to 2 and combined with the second term, 2x²

Explanation:

The degree of an expression is identified by its highest exponent.

The expression in question is:

5x³ + 2x² + 7x - 3

Observing this, we see that the highest exponent is 3, indicating that the expression’s degree is 3.

A quadratic function is defined as having degree 2, meaning the highest degree must be 2.

Thus, Martha must eliminate the term with degree 3 (5x³) from her function.

This can be achieved through two methods:

1- She can simply remove the term with the third degree.

2- She can change the term with degree 3 to a lower degree and combine it with an existing like term.

Evaluating the options, we conclude the two accurate choices are:

- The term 5x³ can be eliminated.

- The exponent on the first term, 5x³, can be reduced to 2 and subsequently joined with the second term, 2x².

I hope this is helpful!:)

The sine function that corresponds to the scenario is y = 6sin((π / 10) x) - 10.

Step-by-step explanation:

The general equation for a sine function is Asin(Bx)+C.

A buoy rises and drops 6 meters, indicating a vertical and horizontal movement of 6 meters—this is the amplitude.

Thus, the amplitude A is 6.

The period is defined as the horizontal distance for one complete wave cycle.

The buoy takes 10 seconds to go from its peak to its lowest point (half a cycle).

Hence, the total period for a complete cycle is 20 seconds.

Additionally, Period = 2π divided by B.

Thus, 20 (B) = 2π.

This results in B being equal to 2π / 20.

= π / 10.

Since the buoy operates at a depth of 10 meters, C equals -10.

⇒y = 6sin((π/10)x) - 10.

The first point marks the midline,

When x=0,

⇒y=6sin(0)-10.

y= -10.

∴ Thus, the line begins at y = -10.

The consecutive point will represent the maximum or minimum value.

Those are (5,-4) and (15, -16.)