Part a the year in which the us civil war ended was 25 percent later than the year christopher columbus set sail from spain. if c represents the year columbus set sail, we can write the year the civil war ended as c + 0.25c. rewrite this expression as a single term.

1.25c

Step-by-step explanation:

c + 0.25c can be written as a single term:  1.25c.

Note that c + 0.25c = 1.00c + 0.25c, and that

1.00c

+0.25c

1.25c (same as above)

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."

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.