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Questions in mathematics

[Jawaban] Simplify: $\frac{3^{3 x+2}-3^{3 x+1}}{6 \times 27^x}$

[Jawaban] Combine like terms: $3 x^2+2 x y-4 x+5 y+3 x y-x^2$

[Jawaban] Select the correct answer. Carly tutors students in math on the weekends and offers both thirty-minute sessions and sixty-minute sessions. She earns $15 for each thirty-minute session and $25 for each sixty-minute session. If she earned $230 this past weekend and had [tex]$x$[/tex] thirty-minute sessions and [tex]$x-2$[/tex] sixty-minute sessions, what is the value of [tex]$x$[/tex]? A. 8 B. 6 C. 7 D. 5

[Jawaban] What is the domain of $f(x)=4 \sqrt{2 x-1}+3$? A. $\left(-\infty, \frac{1}{2}\right]$ B. $\left(-\infty,-\frac{1}{2}\right]$ C. $\left[-\frac{1}{2}, \infty\right)$ D. $\left[\frac{1}{2}, \infty\right)$

[Jawaban] A group of students and workers entering a metro station were asked whether they were riding the bus or the subway. The two-way table shows their answers. Types of Transportation | | Bus | Subway | Total | | -------- | --- | ------ | ----- | | Students | 27 | 21 | 48 | | Workers | 42 | 76 | 118 | | Total | 69 | 97 | | How many people were polled? A. 48 B. 69 C. 118 D. 166

[Jawaban] Which points lie on the graph of [tex]f(x)=-\sqrt{-x}[/tex]? | x | y | |---|---| | 3 | -2 | | | | | | | [tex](-9,3)[/tex] [tex](-4,-2)[/tex] [tex](-1,1)[/tex] [tex](0,0)[/tex] [tex](1,1)[/tex] [tex](2,-4)[/tex] [tex](9,3)[/tex]

[Jawaban] Find the slope of the line passing through the points $(-3,6)$ and $(5,6)$. slope: $\square$

[Jawaban] Enzo is studying the black bear population at a large national park. He finds that the relationship between the elapsed time [tex]$t$[/tex], in years, since the beginning of the study, and the black bear population [tex]$B(t)$[/tex], in the park is modeled by the following function: [tex]$B(t)=2500 \cdot 2^{0.01 t}$[/tex] According to the model, what will the black bear population be at that national park in 25 years? Round your answer, if necessary, to the nearest whole number.

[Jawaban] If [tex]i=\sqrt{-1}[/tex], then [tex]i^2=[/tex] ?

[Jawaban] Find the product. $-8 x^5 y^2 \cdot 6 x^2 y$