For a segment of a radio show , a disc jockey can play 7 records . If there are 9 records to select from , in how many ways can the program for this segment be arranged ?

72

Step-by-step explanation:

From the question, we are informed that a disc jockey can play 7 records and that there are 9 records to select from for a particular segment of a radio show.

The number of ways that the program for the segment be arranged will be:

= 9! / 7!

= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (7 × 6 × 5 × 4 × 3 × 2 × 1)

= 9 × 8

= 72

its b

step-by-step explanation:

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.