Questions in mathematics

Questions in mathematics

📝 Answered - Given the function $f(x)=-0.5|2 x+2|+1$, for what values of $x$ is $f(x)=6$?

📝 Answered - Find the domain of the function [tex]f(x) = \frac{x+6}{x^2 + 10x - 11}[/tex]. Options: 1. [tex]{x | x \ne -11}[/tex] and [tex]x \ne 1[/tex] 2. [tex]{x | x \ne -11}[/tex] 3. [tex]{x | x \ne 11}[/tex] 4. [tex]{x | x \ne 6}[/tex] 5. [tex]{x | x \ne 11}[/tex] and [tex]x \ne -6}[/tex]

📝 Answered - Find the domain of the function f(x) = \frac{x+10}{x^2 + 2x - 35}. Options: 1. {x | x \ne -7 and x \ne 5} 2. {x | x \ne -35} 3. {x | x \ne 35 and x \ne -10} 4. {x | x \ne 35} 5. {x | x \ne 10}

📝 Answered - If point $(4,5)$ is on the graph of a function, which equation must be true? A. $f(5)=4$ B. $f(5,4)=9$ C. $f(4)=5$ D. $f(5,4)=1

📝 Answered - Task 2: 1. Can 123456 be a perfect square? Explain why or why not. 2. A square number has a last digit of 9. What could be its square root?

📝 Answered - How are the functions $f(x)=16^x$ and $g(x)=16^{\frac{1}{2} x}$ related? A. The output values of $g(x)$ are one-half the output values of $f(x)$ for the same value of $x$. B. The output values of $g(x)$ are one-quarter the output values of $f(x)$ for the same value of $x$. C. The output values of $g(x)$ are the square root of the output values of $f(x)$ for the same value of $x$. D. The output values of $g(x)$ are the square of the output values of $f(x)$ for the same value of $x$.

📝 Answered - What is the branch of mathematics that uses letters and other general symbols to represent numbers and unknown quantities?

📝 Answered - $9x - 3y - 5y - 5x - x + 2y

📝 Answered - Which statement about perfect cubes is true? A. 25 is a perfect cube because [tex]$25=5+5+5+5+5$[/tex] B. 30 is a perfect cube because [tex]$30=3 \bullet 10$[/tex] C. 512 is a perfect cube because [tex]$512=8 \cdot 8 \cdot 8$[/tex] D. 1,875 is a perfect cube because [tex]$1,875=25 \bullet 25 \bullet 3$[/tex]

📝 Answered - The sum $\sum_{n=1}^{50} n(n+6)=$