Which of the expressions below is equal to 4x + 12 ? Select all that apply.

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Step-by-step explanation:

1. Which of the following are monomials? Select all that apply.

Hint: A monomial has one term and is usually in the form ax^n, where n is a nonnegative integer. A constant is also a monomial.

A. –4x2

B. x^2 – 4

C. 4/x

D. 14

E. 4x^–2

For questions 2 – 4, determine whether the expression is a polynomial, and if so, find the degree of the polynomial.

2. 3x^2+4-2x^5 3. 1/2x^3+x/x+1 4. 2/5x^7+3/4x^3-2+x

For questions 5 – 6, write the polynomial in descending order.

5. 3x^3-2x^5-25x+12x^9+6 6. x+9x^12-4x^3+2+3x^2-44x8

7. Which property of polynomials says that the sum of two polynomials is also a polynomial?

A. Closure

B. Commutative

C. Addition property of equality

D. Zero identity

8. Under which operations are polynomials closed?

A. Addition

B. Subtraction

C. Multiplication

D. Division

Use this scenario to answer questions 9 – 10.

The area of a rectangular patio is 4x^2. A square garden is built next to the patio. The total area of the patio and the garden is 4x^2 + 9.

image of the patio attached below.

9. What does the constant term in the polynomial 4x^2 + 9 represent?

Hint: The constant term is 9.

10. What does the coefficient of the variable of 4x^2 + 9 mean in terms of this problem?

Hint: The coefficient of the term 4x^2 is 4.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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