I am climbing up a mountain that has a lake at the bottom. The lake is 100 feet deep. If I have climbed one third of the way up the mountain and I am currently at 220 feet above lake level, what is the elevation change from the bottom of the lake to the top of the mountain?

760 feet

Step-by-step explanation:

So, 220 feet is 1/3 of the mountain.

Now, multiply 220 x 3 = 660.

The top of the mountain is 660 feet.

The bottom of the lake is -100 feet.

Now just simply add 100 + 660 = 760

So, the total elevation change is 760 feet.

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."