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Questions in mathematics

📝 Answered - Solve for $a$. $a-12=b$

📝 Answered - Which values of $x$ and $y$ would make the following expression represent a real number? $(4+5)(x+y i)$ A. $x=4, y=5$ B. $x=-4, y=0$ C. $x=4, y=-5$ D. $x=0, y=5$

📝 Answered - Use a graphing tool to solve the equation for $x$. $-4 x-1=5^x+4$ A. $x \approx-0.25$ B. $x \approx-1.25$ C. $x \approx-1$ D. $x \approx-1.50$

📝 Answered - Solve for x. $6 x+10-3 x=34$

📝 Answered - A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a $5: 9$ ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. $x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1 $ $y=\left(\frac{m}{m+n}\right)\left(y_2-y_1\right)+y_1$ What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth.

📝 Answered - What is the equation of the line that is perpendicular to the line [tex]$y=\frac{3}{5} x+10$[/tex] and passes through the point (15, -5)? A. [tex]$y=\frac{3}{5} x-20$[/tex] B. [tex]$y=-\frac{3}{5} x+20$[/tex] C. [tex]$y=\frac{5}{3} x-20$[/tex] D. [tex]$y=-\frac{5}{3} x+20$[/tex]

📝 Answered - Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference. Which choice represents the sample space, S, for this event? $S=\{A B C, A B D, A C D, B C D\}$ $S=\{A B C, B C A, C D A, D A C\}$ $S=\{A B C, A B D, B A C, B D A, A C D, A D C, B C D, B D C\}$ $S=\{A B C, A B D, A C D, B C A, B C D, B D C, C A B, C B D, D A C, D B C\}$

📝 Answered - 0.5 is how many times the value of 0.05?

📝 Answered - The graph of the function $f(x)=-(x+3)(x-1)$ is shown below. What is true about the domain and range of the function? A. The domain is all real numbers less than or equal to 4, and the range is all real numbers such that $-3 \leq x$ B. The domain is all real numbers such that $-3 \leq x \leq 1$, and the range is all real numbers less than or equal to 4. C. The domain is all real numbers, and the range is all real numbers less than or equal to 4. D. The domain is all real numbers less than or equal to 4, and the range is all real numbers.

📝 Answered - Approximate the number using a calculator. [tex]e^{-0.47}[/tex] [tex]e^{-0.47} \approx[/tex] $\square$ (Round to three decimal places.)