1. identify each sum or product as rational or irrational.
5+√9
0*√2
3*pi
1/3+5.2¯¯¯
2. identify the listed parts of the expression in the table below.
5(x-3)+7x
Parts classification
5(x−3) and 7x---------
5, (x−3), 7, and x
Factors
Quantities
Terms
Variables
Coefficients
3. a company that makes gizmos has a profit function p(x)=−2x^2+20x−32 , where p represents the profit the company makes in millions of dollars and x represents how many millions of gizmos they make. determine the number of gizmos that produce a profit of $0 and the maximum profit the company can make.
The company makes a profit of $0 when they make--------------
The company makes a maximum profit of-------------
0 or 5 million gizmos
3 million or 6 million gizmos
2 million or 8 million gizmos
any number of gizmos
$18 million when they make 5 million gizmos
$18 million when they make 32 million gizmos
$0 dollars when they make 2 million gizmos
infinite money, there is no maximum amount of money the company can make
1.
- 5+√9: rational
- 0*√2: rational
- 3*pi: irrational
- 1/3+5.2¯¯¯: rational
2.
- 5(x-3) and 7x: Terms
- 5, (x−3), 7, and x: Factors
- 5(x−3): Quantities
- 5 and 7: Coefficients
- x: Variable
3.
- The company makes a profit of $0 when they make 2 million or 8 million gizmos.
- The company makes a maximum profit of $18 million when they make 5 million gizmos.