Sarah walks into a grocery store with no more than $20 to spend and needs to buy at least £3.5 of flour and at least £2 of sugar flour is $2 per pound and sugar is a $1.50 per pound. Let X be the amount of flour purchased and y be the amount of sugar purchased. What is the system of inequities represent the situation

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0

City p has a temperature of ? 4 °f. city q has a temperature of ? 8 °f. use the number line shown to answer the questions: number line from negative 8 to positive 8 in increments of 1 is shown. part a: write an inequality to compare the temperatures of the two cities. (3 points) part b: explain what the inequality means in relation to the positions of these numbers on the number line. (4 points) part c: use the number line to explain which city is warmer. (3 points)

The magicsoft software company has a proposal to the city council of alva, florida, to relocate there. the proposal claims that the company will generate $3.3 million for the local economy by the $1 million in salaries that will be paid. the city council estimates that 70% of the salaries will be spent in the local community and 70% of that money will again be spent in the community, and so on.