n set of prime numbers P 2ℙ2, find the change-of-coordinates matrix from the basis Upper B equals StartSet 1 minus 2 t plus t squared comma 3 minus 5 t plus 4 t squared comma 2 minus 2 t plus 5 t squared EndSetB=1−2t+t2,3−5t+4t2,2−2t+5t2 to the standard basis Upper C equals StartSet 1 comma t comma t squared EndSetC=1,t, t2. Then find the B-coordinate vector for negative 6 plus 10 t minus 7 t squared−6+10t−7t2. In set of prime numbers P 2ℙ2, find the change-of-coordinates matrix from the basis Upper B equals StartSet 1 minus 2 t plus t squared comma 3 minus 5 t plus 4 t squared comma 2 minus 2 t plus 5 t squared EndSetB=1−2t+t2,3−5t+4t2,2−2t+5t2 to the standard basis Upper C equals StartSet 1 comma t comma t squared EndSetC=1,t, t2.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.