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If x is an integer, what is the smallest value of x that makes \( 4x+3\geq -9.5\) true?
x is a positive number that when divided by its reciprocal yields \(\frac{16}{36}\). What is x?
\(\frac{(x^2-7x+10)}{(x-5)}+3x-2\) is equivalent to which of the following if x does not equal 5?
Which of the following are the solutions to the equation \(|x^2| + |2| – |- 3x|= 0\)?
\(\frac{5}{1-2\sqrt{3}}\) is equivalent to which of the following?
If the three angles in a triangle are equal to 6x + 5, 5x + 7, and 6x – 2, what is x?
Write 514,000,000 in scientific notation.
You cell phone carrier charged a one-time $30 sign-up fee for your phone plan. The plan costs $25 per month. Assuming there were no other expenses, how much did you pay for your cell phone plan in the first year that you had it?
You are told that the probability of winning a card game is \( \frac{1}{3} \), and the probability of winning a second card game is \( \frac{2}{3} \). You spend a few afternoons one week playing both games and win 24 rounds of the first game and 12 rounds of the second game. If the number of rounds you won of both the first and the second game was exactly the number predicted by probability, how many rounds of the two games did you play combined?
At what points, if any, does the function \(2x^2 + 3x – 5 = 0\) cross the x-axis?