Questions in mathematics

Questions in mathematics

📝 Answered - What is the value of the discriminant, [tex]$b^2-4 a c$[/tex], for the quadratic equation [tex]$0=x^2-4 x+5$[/tex], and what does it mean about the number of real solutions the equation has? A. The discriminant is -4, so the equation has 2 real solutions. B. The discriminant is -4, so the equation has no real solutions. C. The discriminant is 35, so the equation has 2 real solutions. D. The discriminant is 35, so the equation has no real solutions.

📝 Answered - \(\left(-\frac{7}{4}\right) \div 4 \frac{2}{3}\)

📝 Answered - Solve the system of equations: [tex] \begin{array}{l} y=-5 x-8 \\ y=4 x+1 \end{array} [/tex] A. (1, -3) B. (-1, -3) C. (3, 1) D. No solution

📝 Answered - The shortest distance from the incenter to the sides of a triangle is equal to: A. the radius of the inscribed circle. B. the diameter of the inscribed circle. C. the circumference of the inscribed circle. D. a tangent of the inscribed circle.

📝 Answered - What transformations were applied to the graph of the parent function y = tangent(x) to produce the function graphed below? On a coordinate plane, the x axis ranges from -2π to 2π with an interval of π/4 units, and the y axis ranges from -6 to 6 with an interval of 2 units. It shows a curve that oscillates between positive and negative infinity as x approaches multiples of π. The curve has vertical asymptotes at x = ±nπ. The curve crosses the x axis at (7π/6, 0), (π/6, 0), and (-5π/5, 0).

📝 Answered - The table below contains the class midpoints and the corresponding class frequencies. (a) Complete the table below. | Class Midpoint $x$ | Class Frequency $f$ | $f \cdot x$ | $f \cdot x^2$ | |---|---|---|---| | 4 | 3 | | | | 7 | 5 | | | | 10 | 2 | | |

📝 Answered - Find the Laplace transform of the function u(t - 2π) sin(t - 2π). The given answer is e^{-2π s} * 1/(s^2 + 1).

📝 Answered - If Amy multiplies her number by 2 and adds 3 times Aaron's number, the result is 18. Form another equation and hence solve them simultaneously to find the two numbers.

📝 Answered - Jake bought 9 drinks for everyone in his family. He bought larges and smalls. The larges cost $1.50 and the smalls cost $0.90. He spent $10.50 in all. How many larges (L) and how many smalls (s) did he buy? [tex] \begin{array}{c} L+s=9 \\ 1.5 L+.9 s=10.5 \end{array} [/tex] [?] larges and [ ] smalls

📝 Answered - Find the $x$-intercept. $y=\frac{4 x+12}{4 x-12} $ ([?], 0)