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# Find a polynomial function or equation that represents the perimeter of a rectangle

Points: 0

Find a polynomial function or equation that represents the perimeter of a rectangle that has a length of 2x - 3 and a width of x + 2.
Duration:
4 days 21 hours

# When a plane flies with the wind it can travel 4200 miles in 6 hours.

Points: 1

When a plane flies with the wind it can travel 4200 miles in 6 hours. When the plane flies in the opposite direction, or against the wind, it takes 7 hours.

Find the speed or rate of the plane and the speed or rate of the wind.

Duration:
expired

# Suppose that in 2003 ,certain groups contributed \$273 million to federal candidates

Points: 6

Suppose that in 2003, certain groups contributed USD273 million to federal candidates. In 2008, the figure rose to USD386.4 million. Assume that A(t) represent the amount of contributions, in millions, and t the number of years since 2000.

Find a liner function that models the data.

Duration:
expired

# The sum of three numbers is 134. If the third number is 4 times the first

Points: 9

Here is a number problem. If the sum of three numbers is 134, and the third number is 4 times the first, and the first number is 8 less than the second, what are the numbers? Please explain the answer.
Number:

Assumptions:

x = the second number
x - 8 = the first number
4(x - 8) = third number

Given: Total is 134

first + second + third = 134
x - 8 + x + 4(x - 8) = 134

Simplifying gives:
x - 8 + x + 4x - 32 = 134

6x - 40  = 134
6x = 134 + 40
6x = 174
x = 29 => second number

First number =>  x - 8
29 - 8 = 21

Third number => 4(x - 8)
4(29 - 8) = 4(21) = 84

Therefore:
First number => 21
Second number => 29
Third number => 84

TOTAL = 21 + 29 + 84 = 134

Points: 17

Add:     \[ (-9 + 3n^6 + 3n^5) + (2n^6 + 5n^5 + 6) \]

Number:
To add these polynomials, you need to add the "like" terms. Here are the step-by-step solution:

=> (
9+3n6+3n5)+(2n6+5n5+6)

9+3n6+3n5 + 2n6+5n5+6  (dropping the parentheses)

9+6 +3n5 +5n5 + 2n6+3n6(grouping like terms)

( 9+6) +(3n5 +5n5 ) + (2n6+3n6)

(-3 ) + (
8n5) + (5n6) (combining LIKE terms)

-3  + 8n5 + 5n6  (Answer)