Peter decided to join a gym to improve his fitness and practice yoga. The gym membership costs $150 per year and includes free use of equipment, but each yoga class costs an additional three dollars. Peter decided he didn’t want to spend more than $250 total during the year. Which of the following is an acceptable number of yoga classes he can attend and still stay within his budget? *

Step-by-step explanation:

Subscribe to lance Mobster https://youtu.be/6CIUkVOG0ZY

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."