Questions in mathematics

Questions in mathematics

📝 Answered - Yolanda paid for her movie ticket using 28 coins, all nickels and quarters. The ticket cost $4. Which system of linear equations can be used to find the number of nickels, \(n\), and the number of quarters, \(q\), Yolanda used? \begin{array}{l} n+q=28 \ 0.05 n+0.25 q=4 \end{array} \begin{array}{l} n+q=4 \ 5 n+25 q=28 \\ \end{array} n+q=28 5 n+25 q=4 n+q=4 0.05 n+0.25 q=28

📝 Answered - A number if that number and the number b sum to 40

📝 Answered - Determine the number that can be used in place of the question mark to make the equation true. [tex]\left(\frac{1}{2}\right)^?=16[/tex] A. No solution B. [tex]$\frac{1}{4}$[/tex] C. -4 D. 4

📝 Answered - Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. x³ ≥2x² Solve the inequality. What is the solution set? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) B. The solution set is the empty set.

📝 Answered - Cherries cost $5.68 a pound. Will $20 be enough to buy a 4.1-pound bag of cherries? Explain how to determine whether $20 is the correct estimate of the product of $5.68(4.1).

📝 Answered - Select the correct answer. Each statement describes a transformation of the graph of $y=x$. Which statement correctly describes the graph of $y=x-13$? A. It is the graph of $y=x$ translated 13 units up. B. It is the graph of $y=x$ translated 13 units to the left. C. It is the graph of $y=x$ where the slope is decreased by 13. D. It is the graph of $y=x$ translated 13 units to the right.

📝 Answered - You need to show that the function f: \mathbb{R} \rightarrow \mathbb{R} defined by f(x) = x^2 is not one-to-one (injective) but is many-to-one.

📝 Answered - Simplify each. 26. \frac{2(12x - 10)}{4} + \frac{10(3x + 2)}{5} 27. \frac{2a(a + 4)}{a} - \frac{2a(3a - 4)}{2a}

📝 Answered - Work out the coordinates of the point halfway between the origin and point B. The origin is (0, 0). Point B is at (1, 9). The midpoint formula is: [tex]\( \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \)[/tex] So, the midpoint is [tex]\( \left( \frac{0 + 1}{2}, \frac{0 + 9}{2} \right) = (0.5, 4.5) \)[/tex]

📝 Answered - Two particles move on two different paths which start from a common point 'O'. Particle A follows a path described by f(x) = (3ax² + 2)/(2x + c) and particle B follows a path described by g(x) = (2bx² + 3)/(2x + c). Find the rate at which particle A moves with respect to particle B. Options: (1) (3ax² + 3acx - 2)/(2bx² + 2bcx - 3) (2) (3ax² + 3acx - 2)/(3bx² + 3bcx - 2) (3) (3bx² + 3bcx - 2)/(2ax² + 2acx - 3) (4) (2bx² + 2bcx - 3)/(3ax² + 3acx - 2)