21 less then four times a number is the same as six times the number plus 11. what is the number

-16 =n

Step-by-step explanation:

Let n= number

4n -21 = 6n +11

Subtract 4n from each side

4n-4n -21 = 6n-4n +11

-21 = 2n+11

Subtract 11 from each side

-21-11 = 2n

-32 = 2n

Divide by 2

-32/2 = 2n/2

-16 =n

x = - 16

Step-by-step explanation:

Let the number = x

Read the phrases just a little at a time.

is which means =

So put the two parts together.

Equation

4x - 21 = 6x + 11                   Add 21 to both sides

Solution

4x - 21 + 21 = 6x + 11 + 21    Combine

4x = 6x + 32                         Subtract 6x from both sides.

4x - 6x = 6x - 6x + 32          Combine

- 2x = 32                               Divide by -2

-2x/-2 = 32/-2

x = -16

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."

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2