A business organization needs to make up a 7 member fund-raising committee. The organization has 6 accounting majors and 7 finance majors. In how many ways can the fund-raising committee be formed if at least 4 accounting majors are on the committee?

658 ways.

Step-by-step explanation:

To find the number of ways the number "r" items can be chosen from the available number "n", the combination formula for selection is used. This formula is denoted as:

nCr = n! / (n-r)! × r!

Where n! = n×(n-1)×(n-2) ... ×3×2×1.

If we have 6 accounting majors and 7 finance majors and we are to choose a 7-member committee from these with at least 4 accounting majors on the committee, then the possibilities we have include:

[4 accounting majors and 3 finance majors] Or [5 accounting majors and 2 finance majors] or [ 6 accounting majors and 1 finance major].

Mathematically, this becomes:

[6C4 × 7C3] + [6C5 × 7C2] + [6C6×7C1]

525 + 126 + 7 = 658 ways.

Note: it is 6C4 because we are choosing 4 accounting majors from possible 6. This applies to other selection possibilities.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.