If j and k are nonzero integers, which pair of points must lie in the same quadrant? (j, j) and (k, k) (j, k) and (jk, jk) (j + k, 3) and (3, j + k) (3j, 3k) and (StartFraction 3 Over j EndFraction, StartFraction 3 Over k EndFraction) 3 1 –7 –6 –9 Yes, the values represent a function because each x-value is paired with only one y-value. Yes, the values represent a function because each y-value is paired with only one x-value. No, the values do not represent a function because the x-values are not in ascending order. No, the values do not represent a function because there is no single rule that relates each pair of values.

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

Consider the system: y = 3x + 5 y = ax + b what values for a and b make the system inconsistent? what values for a and b make the system consistent and dependent? explain

Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 14 ft high? (round your answer to two decimal places.) ft/min