A quadratic equation results in the given parabola, when graphed in the xy-plane. If the graph is translated one unit to the right and two units down, which of the following is the equation of the resulting parabola?

A researcher randomly selected 50 customers who made purchases at a local grocery store on a Saturday morning. These customers were asked about their satisfaction with the store’s new layout. Of those surveyed, 42 expressed satisfaction with the changes. To which of the following groups can the results of this survey be most reliably applied?

If \(\dfrac{6}{z+4} = p\), and \(p = 12\), what is the value of \(z \)?

\(P(t) = 50,000(1.03)^t\)

The given function models the population of a small city, where t represents the number of years since 2020, and \(0 ≤ t ≤ 10\). If \(y = P(t)\) is graphed in the \(xy\)-plane, which of the following is the best interpretation of the \(y\)-intercept of the graph in this context?

The weight, in pounds, of a truck with its load is given by the equation below where \(w\) represents the total weight of the truck and its load, and \(q\) represents the quantity of castings it is hauling. In the equation, what does the number 35,000 represent?

\(w = 500q + 35,000\)

Student Participation in Games

During a school fair, 300 students attended. The table above summarizes whether or not the students participated in games, bought food, did both, or did neither. Based on the data in the table, what is the probability that a student selected at random from those who attended the fair did not buy food?

The table above represents a relationship between and \(x\) and \(y\). Which of the following linear equations describes the relationship?

The expression \(k(4x^2 – 9)\) can be rewritten as:

\(\left(x – \dfrac{3}{2}\right) \left(x + \dfrac{3}{2}\right)\)

What is the value of the positive constant \(k\)?

\(3(x – 4) = 18\), what is the value of \(x\)?

Trains A, B and C passed through a station at different speeds. Train A’s speed was 2 times Train B’s speed and Train C’s speed was 3 times Train A’s speed. What was Train C’s speed in miles per hour, if the Train B’s speed was 9 miles per hour?