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Questions in mathematics

📝 Answered - A point has the coordinates $(m, 0)$ and $m \neq 0$. Which reflection of the point will produce an image located at $(0,-m)$? A. a reflection of the point across the $x$-axis B. a reflection of the point across the $y$-axis C. a reflection of the point across the line $y=x$ D. a reflection of the point across the line $y=-x

📝 Answered - Which is another way to write $x^{\frac{4}{3}}$? A. $\sqrt[4]{x^3}$ B. $\frac{1}{3} x^4$ C. $\frac{1}{4} x^3$ D. $\sqrt[3]{x^4}$

📝 Answered - Which value is in the domain of [tex]f(x)[/tex]? [tex]f(x)=\left\{\begin{array}{ll} 2 x+5, & -6\ \textless \ x \leq 0 \ -2 x+3, & 0\ \textless \ x \leq 4 \end{array}\right.[/tex] A. -7 B. -6 C. 4

📝 Answered - What is the constant of variation, [tex]k[/tex], of the line [tex]y=k x[/tex] through (3,18) and (5,30)? A. [tex]\frac{3}{5}[/tex] B. [tex]\frac{5}{3}[/tex] C. 3 D. 6

📝 Answered - Alicia runs a small business mowing yards in the summer. For every yard she mows, she earns $40. However, she spends part of this money on gasoline for her lawnmower. Each gallon of gasoline costs $3. Write an expression for the amount of money that Alicia earns in a day, where $y$ is the number of yards she mows and $g$ is the number of gallons of gasoline she buys. A. [tex]$40 g+$[/tex][tex]$3 y$[/tex] B. [tex]$3 g-$[/tex][tex]$40 y$[/tex] C. [tex]$40 y+$[/tex][tex]$3 g$[/tex] D. [tex]$40 y-$[/tex][tex]$3 g$[/tex]

📝 Answered - The slope of $y=-5 x+1$ is $m=1$. True False

📝 Answered - Find the present value PV of the given investment. (Round your answer to the nearest cent.) An investment earns 8% per year and is worth $60,000 after 19 months.

📝 Answered - Find the quotient using long division. $\frac{3 x^3+3 x^2-21 x+3}{x-2}$

📝 Answered - x^4 + 2x^3 - 8x - 18x + 2

📝 Answered - Differentiate descriptive from inferential statistics. Differentiate population from sample. Define parameter and statistics. Classify data as qualitative and quantitative. Determine whether a variable is discrete or continuous.