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Questions in mathematics

📝 Answered - Solve for $x$ in the equation $x^2-10 x+25=0$. A. $x=5 \pm 2 \sqrt{5}$ B. $x=5 \pm \sqrt{35}$ C. $x=10 \pm 2 \sqrt{5}$ D. $x=10 \pm \sqrt{35}$

📝 Answered - A carpenter is making a wooden window frame that has a width of 1 inch. How much wood does the carpenter need to build the frame? A. $5.5 \pi+106$ square inches B. $5.5 \pi+116$ square inches C. $5.5 \pi+153$ square inches D. $5.5 \pi+162$ square inches

📝 Answered - A system of equations has 1 solution. If [tex]4 x-y=5[/tex] is one of the equations, which could be the other equation? [tex]y=-4 x+5[/tex] [tex]y=4 x-5[/tex] [tex]2 y=8 x-10[/tex] [tex]-2 y=-8 x-10[/tex]

📝 Answered - Solve the following expression: [tex] \begin{array}{c} a=3 \text { and } c=5 \\ 5 a+12-2 c+a \end{array} [/tex]

📝 Answered - a) Explain the meaning of the term "principal square root." b) Solve x^2 = 25. c) Solve x = √25. d) Compare and explain the solutions to parts b and c.

📝 Answered - A direct variation function contains the points $(2,14)$ and $(4,28)$. Which equation represents the function? A. $y=\frac{x}{14}$ B. $y=\frac{x}{7}$ C. $y=7x$ D. $y=14x$

📝 Answered - Which product of prime polynomials is equivalent to $3 x^4-81 x$? A. $3 x(x-3)(x^2-3 x-9)$ B. $3 x(x-3)(x^2+3 x+9)$ C. $3 x(x-3)(x-3)(x+3)$ D. $3 x(x-3)(x+3)(x+3)$

📝 Answered - Solve for t. [tex]e^{-0.65 t}=0.61[/tex]

📝 Answered - Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints: * The difference of the two grades is 16. * The sum of one-eighth of the higher grade and one-half of the lower grade is 52. The system that represents his scores is below. [tex] \begin{array}{l} x-y=16 \\ \frac{1}{8} x+\frac{1}{2} y=52 \end{array} [/tex] What is the higher grade of Jose's two tests? A. 48 B. 52 C. 80 D. 96

📝 Answered - The domain of the piecewise function is $(-\infty, \infty)$. a. Graph the function. b. Use your graph to determine the function's range. [tex]f(x)=\left\{\begin{array}{ccc} \frac{1}{2} x^2 & \text { if } & x\ \textless \ 2 \\ 4 x-5 & \text { if } & x \geq 2 \end{array}\right.[/tex]