Questions in mathematics

Questions in mathematics

📝 Answered - Select the correct answer. If $f(x)=5 x-3$, which expression represents its inverse function? A. $\quad \frac{(x+3)}{(x+2)}$ B. $\frac{(x+3)}{(5)}$ C. $\frac{(5)}{(x+3)}$ D. $\frac{(x-3)}{(2)}$

📝 Answered - Express as a single logarithm and, if possible, simplify: [tex]$\frac{1}{2} \log b+3 \log c$[/tex] [tex]$\frac{1}{2} \log b+3 \log c=\square$[/tex] (Use parentheses to indicate the argument of the logarithm.)

📝 Answered - Which of the following is a monomial? A) [tex]$2 x-y z$[/tex] B) [tex]$2 x+y z$[/tex] C) [tex]$2 x y z^2$[/tex] D) [tex]$2+x y z$[/tex]

📝 Answered - Solve the quadratic equation [tex]x^2-12 x+23=0[/tex] by completing the square. A) [tex]x=6 \pm \sqrt{13}[/tex] B) [tex]x=13 \pm \sqrt{6}[/tex] C) [tex]x=13-\sqrt{6}[/tex] D) [tex]x=-6 \pm \sqrt{13}[/tex]

📝 Answered - Select the correct answer. A ski rental store rents a pair of skis for $44 a day and a snowboard for $58 a day. Yesterday, the store made $2,232 on ski and snowboard rentals. They rented 9 more pairs of skis than snowboards. Write a system of equations that could be used to represent this situation and to find the number of ski rentals and snowboard rentals. A. [tex]$\begin{array}{l}44 x+58 y=2,232 \\ y=x+9\end{array}$[/tex] B. [tex]$\begin{array}{l}44 x+58 y=2,232 \\ x+y=9\end{array}$[/tex] C. [tex]$44 x+58 y=2,232 \\ y=x-9$[/tex] D. [tex]$\begin{array}{l}44 x+58 y=2,232 \\ x=y-9\end{array}$[/tex]

📝 Answered - Ronan takes a loan of K30 000. He repays the loan with 15% p.a. simple interest in one year. What is the loan balance after the first repayment has been made fortnightly?

📝 Answered - Solve the exponential equation. [tex]5^{7 x-2}=8^x[/tex] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is [tex]x \approx[/tex] [ ] . (Type an integer or decimal rounded to three decimal places as needed.) B. The solution is not a real number.

📝 Answered - Graph the function $y=\frac{1}{8}(x-4)^2+3$ on a coordinate plane using its vertex, focus, and directrix.

📝 Answered - Select the correct answer. Which statement is true? A. A sample statistic can never be equal to the population parameter. B. Point estimates are defined for both samples and populations. D. To calculate a sample proportion, we need to know the population size.

📝 Answered - Which of the following ordered pairs is not a solution of the inequality $y>x^2+4x+3$? (2,17) (1,8) (0,5) (-3,4)