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Questions in Grade College

[Free] Select the correct answer. The given equation has been solved in the table. | Step | Statement | |---|---| | 1 | [tex]$\frac{x}{2}-7=-7$[/tex] | | 2 | [tex]$\frac{x}{2}-7+7=-7+7$[/tex] | | 3 | [tex]$\frac{x}{2}=0$[/tex] | | 4 | [tex]$2 \cdot \frac{x}{2}=2 \cdot 0$[/tex] | | 5 | [tex]$x=0$[/tex] | In which step was the subtraction property of equality applied? A. step 2 B. step 3 C. step 4 D. The subtraction property of equality was not applied to solve this equation.

[Free] Select the correct answer. Exponential function [tex]$f$[/tex] is represented by the table. | x | -1 | 0 | 1 | 2 | 3 | |---|---|---|---|---|---| | [tex]$f(x)$[/tex] | 78 | 24 | 6 | 0 | -2 | Function [tex]$g$[/tex] is an exponential function passing through the points (0,15) and (2,0). Which statement correctly compares the behavior of the two functions on the interval (0,2)? A. One function is positive on the interval, while the other is negative. B. Both functions are positive and increasing on the interval. C. Both functions are positive and decreasing on the interval. D. Both functions are positive on the interval, but one function is increasing while the other is decreasing.

[Free] Find the rectangular coordinates of $(5,30^{\circ})$. A. $(\frac{5 \sqrt{3}}{2},-\frac{5}{2})$ B. $(-\frac{5 \sqrt{3}}{2},-\frac{5}{2})$ C. $(\frac{5 \sqrt{3}}{2}, \frac{5}{2})$ D. $(-\frac{5 \sqrt{3}}{2}, \frac{5}{2})$

[Free] Solve for $b$. $r=(b-6) m$

[Free] Matteo is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of the satellite can be modeled by [tex]y^2=6 x[/tex] where [tex]x[/tex] and [tex]y[/tex] are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite? A. [tex](-1.5,0)[/tex] B. [tex](0,-1.5)[/tex] C. [tex](0,1.5)[/tex] D. [tex](1.5,0)[/tex]

[Free] What is the name of the area in Shanghai which has been developed over the past 20 years and is home to many business landmarks? A. Huaihai Street B. New Pudong Area C. Oriental Pearl Area D. International Finance Area

[Free] Which element of a rectifier only allows current to flow in one direction? a. Shunt b. Stack c. Circuit breaker d. Tap

[Free] Read about the mathematics of BMX racing.

[Free] What is the inverse of the logarithmic function [tex]f(x)=\log _9 x[/tex]? A. [tex]f^{-1}(x)=x^9[/tex] B. [tex]f^{-1}(x)=-\log _9 x[/tex] C. [tex]f^{-1}(x)=9^x[/tex] D. [tex]f^{-1}(x)=\frac{1}{\log _9 x}[/tex]

[Free] The measure of angle BAC can be calculated using the equation $\sin ^{-1}\left(\frac{3.1}{4.5}\right)=x$. What is the measure of angle BAC? Round to the nearest whole degree. A. $0^{\circ}$ B. $1^{\circ}$ C. $44^{\circ}$ D. $48^{\circ}$