A landscaper earns $30 for each lawn her company mows, but she pays $210 per day in salary to her employees. If her
company made more than $150 profit from mowing lawns in a 7-day week, what are the possible numbers of lawns the
company could have mowed? Select two options.
12
37
54
61
80

Use the function nest to evaluate p(x) = 1 + x + · · · + x50 at x = 1.00001. (use the matlab ones command to save typing.) find the error of the computation by comparing with the equivalent expression q(x) = (x51 − 1)/(x − 1).

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?

Solve each quadratic equation by factoring and using the zero product property. [tex]x^2+6x+8=0[/tex]