Forty students are in the dance club. If 3/8 of the club members have roles in the spring play how many parts are in the spring play

Answer:

D

Step-by-step explanation:

That would be the last option

y = -1/2x + 5

Note: you have not added the image, so I am assuming the quadrilateral MNOP with coordinates M(-4, 0), N(5, -3), P(2, 6) and O(-5, 7). It will anyhow clear your concept as I would explain the concept of reflection over the x-axis.

Step-by-step explanation:

Considering the quadrilateral MNPO with assumed vertices

• M(-4, 0)

• N(5, -3)

• P(2, 6)

• O(-5, 7)

THE RULE OF REFLECTION states that when we tend to reflect a point let say (x, y), across the x-axis, the x-coordinate does not change or transform, but the y-coordinate is changed into its opposite sign i.e. (x,-y).

So, the coordinates of the point in the image after quadrilateral MNPO is reflected over the x-axis will be:

(x, y)                      (x, -y)

M(-4, 0)                     M'(-4, 0)

N(5, -3)                     N'(5, 3)

P(2, 6)                      P'(2, -6)

O(-5, 7)                   O'(-5, -7)

Hope, it will help you clear your concept regarding reflection of an object over the x-axis. Using this understanding, you can solve any other question related to this topic.

Answer:

Step-by-step explanation:

We have been given a recurrence relation and the first term of the sequence .

We can rewrite the given recurrence relation as:

We know that if difference between two consecutive terms is always constant, the sequence is called an arithmetic sequence. So we are dealing with an arithmetic sequence with first term as 4 and common difference as 12.

We can therefore, write an explicit formula for nth terms of the sequence as.

This is the required explicit function rule for the given sequence.