Questions in mathematics

Questions in mathematics

📝 Answered - Solve the system by substitution. Check your solution. [tex]0.5 x+0.25 y=36[/tex] [tex]y+18=16 x[/tex] a. [tex](36,72)[/tex] c. [tex](49,81)[/tex] b. [tex](9,126)[/tex] d. [tex](21,9)[/tex] Please select the best answer from the choices provided

📝 Answered - The table below shows the typical hours worked by employees at a company. A salaried employee makes $50,000 per year. Hourly employees get paid $20 per hour but get $30 per hour for each hour over 40 hours. | Sun. | Mon. | Tues. | Wed. | Thurs. | Fri. | Sat. | |---|---|---|---|---|---|---| | 0 | 8 | 8 | 9 | 9.5 | 7.5 | 4 | Which of the payment options would you recommend to a new employee? a. Either one. Hourly and salaried employees earn the same amount per week. b. Hourly pay. Hourly employees make more per week than salaried employees. c. Salaried pay. Salaried employees make more per week than hourly employees. d. There is not enough information given to compare weekly earnings.

📝 Answered - If [tex]f(x)=4 x^2+1[/tex] and [tex]g(x)=x^2-5[/tex], find [tex](f+g)(x)[/tex] A. [tex]3 x^2+6[/tex] B. [tex]3 x^2-4[/tex] C. [tex]5 x^2-4[/tex] D. [tex]5 x^2-6[/tex]

📝 Answered - Drag the tiles to the correct boxes to complete the pairs. Solve each equation using the square root property. Then, match the solutions to the equations they describe. Tiles: $\sqrt{12}-\sqrt{13} \quad \sqrt{14},-\sqrt{14} \quad 91,-91 \quad 21,-21$ Pairs: $\begin{array}{l} x^2+81=0 \\ x^2-22=-26 \longrightarrow \\ 3 x^2-18=21 \longrightarrow \\ 2 x^2+15=-13 \longrightarrow \end{array}$

📝 Answered - The exchange rate between non-fixed currencies continually fluctuates. The chart below shows the exchange rate of the US dollar to the Japanese yen over the course of six days. \begin{tabular}{|c|c|} \hline Day & $¥$ \\ \hline Monday & $1: 88.6122$ \\ \hline Tuesday & $1: 90.8305$ \\ \hline Wednesday & $1: 87.5507$ \\ \hline Thursday & $1: 91.2323$ \\ \hline Friday & $1: 92.7120$ \\ \hline Saturday & $1: 89.4477$ \\ \hline \hline \end{tabular} Mary has $311.75 to convert into yen. The currency exchange she is using charges a surcharge of 6% when converting currency. About how many more yen will Mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate? A. ¥ 1,125 B. ¥ 1,513 C. ¥ 1, 609 D. ¥ 1,706

📝 Answered - Where would be the best place for Marcus to find time for studying, given the following schedule? | Activity | Hours | | --------------- | ----- | | Sleep | 6 | | Meals | 1.5 | | Work | 4 | | Class | 4 | | Study | 0 | | Extracurricular | 1 | | Exercise | 0.5 | | Personal | 1 | | Family | 2 | | Entertainment | 2.5 | | Social | 1 | | Other | 0.5 |

📝 Answered - A vendor bought toffees at 6 per rupee. How many for a rupee must he sell to gain 20%? Options: 6 5 4 9

📝 Answered - A scientist uses the expression [tex]$\frac{5}{9}(F-32)$[/tex] to convert temperature. What is the temperature, in [tex]${}^{\\circ} F$[/tex], of a substance at [tex]$-25^{\\circ} C$[/tex]? A. -13 B. 18 C. 13 D. -32

📝 Answered - Select the correct answer. The parent square root function, f, is transformed to create function g. [tex]g(x) = -\sqrt{x+2} + 1[/tex] Which statement describes the transformation? A. The graph of f is translated 1 unit to the right and 2 units down. B. The graph of f is translated 2 units to the right and 1 unit up. C. The graph of f is translated 1 unit to the left and 2 units up. D. The graph of f is translated 2 units to the left and 1 unit up.

📝 Answered - 21. $1- x + x ^2- x ^3=$ a) $(1+x)\left(1-x^2\right)$ b) $(1-x)\left(1+x^2\right)$ c) $(1-x)\left(1-x^2\right)$ d) $(1-x)\left(1+x^2\right)$