<em><u>The polynomials are:</u></em>



<em><u>Not a polynomial are:</u></em>
![4\sqrt[3]{x} -\sqrt{x} -20](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7Bx%7D%20-%5Csqrt%7Bx%7D%20%20-20)


<em><u>Solution:</u></em>
Polynomial is an expression with variables and coefficients,
Which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables
<em><u>Option 1</u></em>
![4\sqrt[3]{x} -\sqrt{x} -20](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7Bx%7D%20-%5Csqrt%7Bx%7D%20%20-20)
Polynomial does not include roots
This is not a polynomial equation
<em><u>Option 2</u></em>

This is polynomial expression involving addition and subtraction between terms with non-negative integer exponents of variables
<em><u>Option 3</u></em>

This is not a polynomial. This equations involves negative integer exponents of variables
<em><u>Option 4</u></em>

This is a polynomial involving addition and subtraction between terms with non-negative integer exponents of variables
<em><u>Option 5</u></em>

This is not a polynomial. This equations involves negative integer exponents of variables
<em><u>Option 6</u></em>

This is a polynomial involving addition and subtraction between terms with non-negative integer exponents of variables
Pi/6 = 180°/6 = 30°
This produces a triangle that has 30-60-90 angles.
Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1
Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3
The equation for the first part would be 4.50p+40=112.
This is because he earns 40 dollars in wages which doesn't change but the number of shoes he commissions, which would be 4.50 per pair. varies based on how many he commissions.
The answer to your second part would be 16.
To find the number, you subtract 40 from each side which gets you 4.50 = 72. From there you just divide which gets you 16.
Another easy way to do it would just be substituting until you find the right number like on a calculator but if you don't have a calculator on hand (let's say for a test), than the first way would be more effective.
Answer:
The third one
Step-by-step explanation: