Each student in a class plays one of three sports soccer, volleyball or basketball. 1/4 of them play soccer. 3/5 of them play volleyball. how many of them play basketball ?

3/20 of the class

Step-by-step explanation:

Add the amount of students that play soccer to amount of students that play volleyball

1/4 + 3/5 = 17/20

Subtract 17/20 (soccer and volley ball) from 20/20 or 1

20/20 - 17/20 = 3/20

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)