( 2 , 6 ) , ( 3 , 12 ) , ( 4 , 15 ) , ( 5 , 21 ) We want to find the line t = m s + q , with slope m and y-intercept q , that best fits this data. Namely, we go ahead and try to solve the system A x = b with A = ⎡ ⎢ ⎢ ⎢ ⎢ ⎣ 2 1 3 1 4 1 5 1 ⎤ ⎥ ⎥ ⎥ ⎥ ⎦ , b = ⎡ ⎢ ⎢ ⎢ ⎢ ⎣ 6 12 15 21 ⎤ ⎥ ⎥ ⎥ ⎥ ⎦ and x = [ m q ] However, this system is very likely to be inconsistent. So instead we write down the normal equation A T A x = A T b and solve it to get the least squares solution x = [ m , q ] T .

y + 11 = (1/4)(x + 16)

step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

range =5

step-by-step explanation:

to find the range, we take the largest value and subtract the smallest value.

the largest value is 5

the smallest value is 0

the range is 5-0   =5