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.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

d is the only accurate one

step-by-step explanation:

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.