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Questions in mathematics

[Jawaban] A triangle has vertices at $B(-3,0), C(2,-1), D(-1,2)$. Which transformation would produce an image with vertices $B^{\prime}(-2,1), C^{\prime}(3,2), D^{\prime}(0,-1)$? A. $(x, y) \rightarrow(x,-y) \rightarrow(x+1, y+1)$ B. $(x, y) \rightarrow(-x, y) \rightarrow(x+1, y+1)$ C. $(x, y) \rightarrow(x,-y) \rightarrow(x+2, y+2)$ D. $(x, y) \rightarrow(-x, y) \rightarrow(x+2, y+2)$

[Jawaban] Drag the tiles to the correct boxes to complete the pairs. Match each rational expression to its simplest form. [tex]\frac{2 m^2-4 m}{2(m-2)}[/tex] [tex]\frac{m^2-2 m+1}{m-1}[/tex] [tex]\frac{m^2-3 m+2}{m^2-m}[/tex] [tex]\frac{m^2-m-2}{m^2-1}[/tex]

[Jawaban] A popular video game claims that the average time needed to reach level 10 Paladin is 3 hours with a standard deviation 0.4 hours. James thinks that he and his four friends are more skilled than the average gamer because it took them an average of only 2.5 hours. Which of the following is the most restrictive level that would validate his claim? \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ Upper-Tail Values } \\ \hline$a$ & $5 \%$ & $2.5 \%$ & $1 \%$ \\ \hline \begin{tabular}{c} Critical $z$-values \end{tabular} & 1.65 & 1.96 & 2.58 \\ \hline \end{tabular} A. 1% B. 2.5% C. 5% D. 10%

[Jawaban] If $y$ varies directly as $x$, and $y$ is 6 when $x$ is 72, what is the value of $y$ when $x$ is 8?

[Jawaban] A quarterback throws a football toward a receiver from a height of 6 ft. The initial vertical velocity of the ball is $14 ft/s$. At the same time that the ball is thrown, the receiver raises his hands to a height of 8 ft and jumps up with an initial vertical velocity of $10 ft/s$. Projectile motion formula: [tex]h=-16 t^2+v t+h_0[/tex] [tex]t=[/tex] time, in seconds, since the ball was thrown [tex]h=[/tex] height, in feet, above the ground Complete the system that models the heights of the ball and the receiver's hands over time. [tex]\begin{array}{l} h=-16 t^2+14 t+\square \\ h=-16 t^2+\square t+\square\\ \end{array}[/tex]

[Jawaban] $\frac{4 x^3+6 x^2-2 x+3}{x+2}$

[Jawaban] Use the zero product property to find the solutions to the equation [tex]$6 x^2-5 x=56$[/tex]. A. [tex]$x=-8$[/tex] or [tex]$x=\frac{7}{6}$[/tex] B. [tex]$x=-\frac{1}{2}$[/tex] or [tex]$x=\frac{56}{3}$[/tex] C. [tex]$x=-\frac{8}{3}$[/tex] or [tex]$x=\frac{7}{2}$[/tex] D. [tex]$x=-\frac{3}{7}$[/tex] or [tex]$x=\frac{2}{3}$[/tex]

[Jawaban] If f(x) = 5x² and g(x) = x² + 12x + 85, what is the sum of all values for a such that f(a + 2) = g(2a)?

[Jawaban] Estimate and then complete each subtraction. 184 - 42 = Estimate = 180 - 40 = 140 361 - 33 = Estimate = 360 - 30 = 330

[Jawaban] There are four different numbers next to these kids. Pick any three numbers and create a word problem. The problem you make should be such that its solution includes both operations (addition and subtraction). Then, show the solution of your problem. By doing this, you will learn how to 'frame word problems'. Numbers: 1,25,546; 32,432; 67,827; 4,32,112.