The owner of a new restaurant wants to have seating for more than 75 people. there is currently a

private chef’s table that seats 3 people. the owner plans to buy m tables that each seat 4 people.

which inequality can be used to show the situation?

4(m + 3) > 75

3(m + 4) > 75

4m + 3 > 75

3m + 4 > 75

show your work

Step-by-step explanation:

Given:

Number of people to be seated should be greater than 75.

Let be the number of people. So,

Now, there is a single private chef's table that can seat 3 people.

Tables bought by the owner =

Number of people seated in 1 table = 4

So, number of persons that can be seated in tables =

Now, total number of persons that can be seated in these two types of tables is the sum of 3 and

Therefore,

But,

Hence, the inequality to show the situation is:

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."

answer:

c. the third graph