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Questions in mathematics

📝 Answered - Which phrase best describes the translation from the graph [tex]y=(x-5)^2+7[/tex] to the graph of [tex]y=(x+1)^2-2[/tex]? A. 6 units left and 9 units down B. 6 units right and 9 units down C. 6 units left and 9 units up D. 6 units right and 9 units up

📝 Answered - What is the product $(4.42 \times 10^3)(5 \times 10^4)$ written in scientific notation? A. $9.42 \times 10^7$ B. $22.1 \times 10^7$ C. $2.21 \times 10^9$ D. $2.21 \times 10^8$

📝 Answered - What is the vertex of the quadratic function [tex]f(x)=(x-8)(x-2)[/tex]?

📝 Answered - Solve: [tex]$2|x+7|-4 \geq 0$[/tex] Express the answer in set-builder notation. A. [tex]$\left\{x \mid 5\ \textless \ x\ \textless \ 6\right\}$[/tex] B. [tex]$\left\{x \mid x \geq-5\right\}$[/tex] C. [tex]$\left\{x \mid x \leq-9$ or $x \geq-5\right\}$[/tex] D. [tex]$\left\{x \mid-9\ \textless \ x\ \textless \ -5\right\}$[/tex]

📝 Answered - Christina is randomly choosing three movies to take on vacation from nine action movies, seven science fiction movies, and four comedies. Which statement is true? A. The probability that Christina will not choose all comedies can be expressed as $1 - \frac{C_4^3}{{}_{20}C_3}$. B. The probability that Christina will choose three action movies can be expressed as $\frac{C_9^3}{{}_{20}C_3}$. C. The probability that Christina will not choose all action movies can be expressed as $1 - \frac{C_9^3}{{}_{20}C_3}$. D. The probability that Christina will choose three comedies can be expressed as $\frac{C_4^3}{{}_{20}C_3}$.

📝 Answered - Find the solution(s) of the quadratic equation [tex]$2 x^2+9 x+9=0$[/tex] A. [tex]$x=3, \frac{3}{2}$[/tex] B. [tex]$x=3$[/tex] C. [tex]$x=-3, \frac{3}{2}$[/tex] D. [tex]$x=-3,-\frac{3}{2}$[/tex]

📝 Answered - If the volume of a cube is $3375 cm^3$, find its height and area of the base.

📝 Answered - What are the domain and range of [tex]f(x)=\log x-5[/tex]? A. domain: [tex]x>0[/tex]; range: all real numbers B. domain: [tex]x<0[/tex]; range: all real numbers C. domain: [tex]x>5[/tex]; range: [tex]y>5[/tex] D. domain: [tex]x>5[/tex]; range: [tex]y>-5[/tex]

📝 Answered - Determine the value of the discriminant and indicate the number of real solutions for the quadratic. [tex]x^2-3 x+7=0[/tex] Discriminant: $\square$ Are the solutions real or complex? $\square$ How many solutions are there? $\square

📝 Answered - Simplify: [tex]$\frac{4}{-4}=\frac{-4 n}{-4}$[/tex]