95. In one college class, there are 28 students taking the class for a grade and 20 taking it pass-fail. The instructor wants to assign
groups for a project, and has two requirements: every group
should contain only students with the same grading option, and
all the groups should have the same number of students.
What's the greatest number of students that he can put in each
group?

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."

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this