The table below shows the distance d(t) in feet that an object travels in t seconds.
t d(t)
(second) (feet)
1 15
2 60
3 135
4 240
what is the average rate of change of d(t) between 2 seconds and 4 seconds and what does it represent?
a) 50 m/s; it represents the average speed of the object between 2 seconds and 4 seconds
b) 90 m/s; it represents the average speed of the object between 2 seconds and 4 seconds
c) 90 m/s; it represents the average distance traveled by the object between 2 seconds and 4 seconds
d) 50 m/s; it represents the average distance traveled by the object between 2 seconds

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.

Adriana sold 50 shares of a company’s stock through a broker. the price per share on that day was $22.98. the broker charged her a 0.75% commission. what was adriana’s real return after deducting the broker’s commission? a. $8.62 b. $229.80 c. $1,140.38 d. $1,149.00

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?