Answer:
<em>The air balloon descends 26.5 feet per minute</em>
Step-by-step explanation:
<u>Rate of Change</u>
The rate of change is a measure that compares two quantities, usually to know how one variable changes in time.
The hot air balloon was 4,064 feet high and, 28 minutes later, it went to 3,322 feet. We can calculate the rate of descent R by dividing the change of elevation over time:
Thus the air balloon descends 26.5 feet per minute
C=3.14 x 26
C=81.64
C=2(3.14 x 13)
C=81.64
5/21 is a repeating decimal but the first digits are 0.238095
C. x³-4x²-16x+24.
In order to solve this problem we have to use the product of the polynomials where each monomial of the first polynomial is multiplied by all the monomials that form the second polynomial. Afterwards, the similar monomials are added or subtracted.
Multiply the polynomials (x-6)(x²+2x-4)
Multiply eac monomial of the first polynomial by all the monimials of the second polynomial:
(x)(x²)+x(2x)-(x)(4) - (6)(x²) - (6)(2x) - (6)(-4)
x³+2x²-4x -6x²-12x+24
Ordering the similar monomials:
x³+(2x²-6x²)+(-4x - 12x)+24
Getting as result:
x³-4x²-16x+24