John has a goal to ride his bike at least 100 miles this summer, john has ridden 12 miles thus far. there are 40 days left in the summer. write an inequality to represent the average distance, d, in miles, john must ride each day for the rest of the summer to achieve his goal

Step-by-step explanation:

Since, the miles john have cover = 12 miles.

And, the remaining days he has = 40

If d is the average miles he cover in these 40 days.

Then, the total miles he cover in 40 days= 40 d

Thus, the total miles he cover in this summer = 12 + 40 d

According to the question,

He has a goal of covering at least 100 miles in this summer.

That is,  the total miles he cover in this summer ≥ 100

⇒ 12 + 40 d ≥ 100

Which is the required inequality.

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."

the answer is b