Questions in mathematics

Questions in mathematics

[Free] What type of number can be written as a fraction [tex]$\frac{p}{q}$[/tex], where [tex]$p$[/tex] and [tex]$q$[/tex] are integers and [tex]$q$[/tex] is not equal to zero? A. All numbers B. A rational number C. [tex]$\pi$[/tex] D. An irrational number

[Free] Is the graph correct? What is the classification of the system? If the graph is not correct, give the correct solution. Hint: Solve each equation for $y$ and check the slopes and $y$-intercepts. If the slopes and $y$-intercepts do not check, then graph each line on paper to find the solution. $\left\{\begin{array}{l} 9 x+6 y=18 \\ 2 y=6-3 x \end{array}\right.$ A) The graph is NOT correct. The classification is Consistent and Dependent. The correct solution is all real numbers. B) The graph IS correct. The classification is Consistent and Dependent.

[Free] Write these fractions in words. [tex]$\frac{17}{20}, \frac{31}{50}$[/tex]

[Free] Miguel has started training for a race. The first time he trains, he runs 0.5 mile. Each subsequent time he trains, he runs 0.2 mile farther than he did the previous time. What arithmetic series represents the total distance Miguel has run after he has trained [tex]$n$[/tex] times? [tex]$\sum_{k=1}^n(-0.3+0.5 k)$[/tex] [tex]$\sum_{k=1}^n(0.2+0.5 k)$[/tex] [tex]$\sum_{k=1}^n(0.3+0.2 k)$[/tex] [tex]$\sum_{k=1}^n(0.5+0.2 k)$[/tex]

[Free] Write the equation of a line in slope intercept form given the table of the line. | x | y | |---|---| | 3 | 3 | | 4 | 5 | | 5 | 7 | | 6 | 9 | | 7 | 11 | A. [tex]$y=3 x+1$[/tex] B. [tex]$y=-2 x$[/tex] C. [tex]$y=3 x-5$[/tex] D. [tex]$y=2 x-3$[/tex]

[Free] Select the correct answer from each drop-down menu. The simplified form of [tex]$\frac{5 \sqrt{2} \pi-4 \sqrt{2} \pi}{\sqrt{2}}$[/tex] is $\square$ . Its estimated value is $\square$.

[Free] Factor the following expression completely. If the expression is not factorable, indicate that it is not factorable. [tex]12 x^2+27[/tex]

[Free] Solve the following equation by first writing the equation in the form [tex]$a x^2=c$[/tex]: [tex]$15+c^2=96$[/tex] A. [tex]$c= \pm 9$[/tex] B. [tex]$c=9$[/tex] C. [tex]$c= \pm 9.79$[/tex] D. [tex]$c=9.79$[/tex] Please select the best answer from the choices provided

[Free] Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation: [tex]$y=-5 x^2-4 x+6$[/tex] A. (2,6.8) B. (-0.4,6.8) C. (0.4,6.8) D. (-0.4,5.2) Please select the best answer from the choices provided.

[Free] There are 3 red and 9 blue counters in a box. A counter is chosen and then replaced. If you did this 144 times, how many times would you expect to get a blue counter?