If \(\dfrac{1}{y} – \dfrac{1}{y + 1} = \dfrac{1}{y + 3}\), then \(y\) could be

A passenger ship left Southampton, England for the Moroccan coast. The ship travelled the first 230 miles at an average speed of 20 knots, then increased its speed for the next 345 miles to 30 knots. It travelled the remaining 598 miles at an average speed of 40 knots.

What was the ship’s approximate average speed in miles per hour? (1 knot = 1.15 miles per hour)

\(y= |15 – x|\)

\(y = |x – 4|\)

What is the solution \((x,y)\) to the given system of equations?

Line F is represented by the equation \(y = x + 1\).  Line G is represented by the equation \(y = px + q\).  Line F and Line G always intersects where \(x = 1\).  What equation properly expresses the relationship between \(p\) and \(q \,\)?

In a small town, 40% of the registered vehicles were electric vehicles. After a local company purchased 30 new electric vehicles for their fleet, the percentage of electric vehicles increased to 46%. How many registered vehicles were there in the town originally?

A polling firm conducted a survey to study voter preferences for candidates in an upcoming election. In the survey, 500 registered voters were asked to choose their preferred candidate from a list of four candidates which were presented in random order.

Of the first 250 voters surveyed, 75 chose the candidate listed first. Among the remaining 250 voters, \(q\) voters chose the candidate listed first.

If more than 30% of all surveyed voters chose the candidate listed first, which of the following inequalities best describes the possible values of \(q\)?

Triangle ABC is the isosceles triangle shown in the illustration below. ∠A = 70° and ∠D = 45°. Points A, B, and D are colinear. Find x, the measure of ∠BCD.

\(3x^2 + kx = −3\)

What value of \(k\) will result in exactly one solution to the equation?

A local library conducted an online survey to gauge the level of interest in expanding its e-book collection. The survey was advertised on the library’s website. After a week, the results showed that 78% of respondents were in favor of the expansion, 18% were against it, and 4% were undecided.

Which of the following best explains why the results are unlikely to represent the overall community’s stance on e-book expansion?

The graph of \(y = f(x)\) is shown above. If \(f(3) = k\), which of the following could be the value of \(f(k)\)?