Questions in mathematics

Questions in mathematics

📝 Answered - Use factoring to solve the quadratic equation. Check by substitution or by using a graphing calculator. [tex]5 x^2=33 x+14[/tex] Rewrite the equation in factored form. $\square =0$ (Factor completely.) The solution set is {$\square$}. (Use commas to separate answers as needed. Type each solution only once.)

📝 Answered - Which function has the same range as [tex]f(x)=-2 \sqrt{x-3}+8[/tex]? A. [tex]g(x)=\sqrt{x-3}-8[/tex] B. [tex]g(x)=\sqrt{x-3}+8[/tex] C. [tex]g(x)=-\sqrt{x+3}+8[/tex] D. [tex]g(x)=-\sqrt{x-3}-8[/tex]

📝 Answered - A group of market women sell at least one of yam, plantain, and maize. 12 of them sell maize, 10 sell yam, and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only, while 3 sell all three items. How many women are in the group? A. 25 B. 19 C. 18 D. 17

📝 Answered - Which subtraction expression has the difference [tex]$1+4 i$[/tex]? A. [tex]$(-2+6 i)-(-1-2 i)$[/tex] B. [tex]$(3+5 i)-(2+i)$[/tex] C. [tex]$(3+5 i)-(2-i)$[/tex] D. [tex]$(-2+6 i)-(1-2 i)$[/tex]

📝 Answered - Express the given quantity as a single logarithm. [tex]$\ln \left(10+x^2\right)+6 \ln x-\ln (x+2)$[/tex]

📝 Answered - Answer each question about the following arithmetic series: [tex]S_4=\sum_{k=1}^4(-3+9 k)[/tex] What are the terms of the series? [tex]a_1=[/tex] [tex]a_2=[/tex] 15 [tex]a_3=[/tex] 24 [tex]a_4=[/tex] 33 What is the common difference of the arithmetic sequence on which the series is based? -3 4 -6 9 What is the value of the arithmetic series? [tex]S_4=[/tex]

📝 Answered - A swimming pool is being filled with water. The diameter of the pool is 27 feet, and the height is 4 feet. Which formula best represents the volume of the pool? [tex]V=(113.5)(4)[/tex] [tex]V=(135)^2(4)[/tex] [tex]V=(-27)(4)[/tex] [tex]V=(-27)^2(4)[/tex]

📝 Answered - Each month, Kaisorn deposits $50.00 onto her public transportation card. It costs her $2.50 per trip to ride the subway. Thom deposits $40.00 on his public transportation card. It costs him $2.00 per trip to ride the subway. If [tex]$x$[/tex] represents the number of trips and [tex]$y$[/tex] represents the amount remaining in each account, which system of equations represents their transportation costs? [tex] \begin{array}{c} 50-2.5 x=y \\ 40-2 x=y \end{array} [/tex] [tex] \begin{array}{c} 50+2.5 x=y \\ 40+2 x=y \end{array} [/tex] [tex] \begin{array}{c} 50-2.5 y=x \\ 40-2 y=x \end{array} [/tex] [tex] \begin{array}{c} 50+2.5 y=x \\ 40+2 y=x \end{array} [/tex]

📝 Answered - Find the 6th term of this geometric sequence. [tex]3,-12,48, \ldots[/tex] [tex]a_6=[?][/tex]

📝 Answered - The sum of two numbers is 98. Their difference is 22. Write a system of equations that describes this situation. Solve by elimination to find the two numbers. a. [tex] \begin{array}{l} x+y=98 \\ x-y=22 \\ 55 \text { and } 33 \end{array} [/tex] c. [tex] \begin{array}{l} x-y=98 \\ x+y=22 \\ 59 \text { and } 39 \end{array} [/tex] b. [tex] \begin{array}{l} x+y=98 \\ x-y=22 \\ 60 \text { and } 38 \end{array} [/tex] d. [tex] \begin{array}{l} x+y=22 \\ y-x=98 \\ 55 \text { and } 39 \end{array} [/tex] Please select the best answer from the choices provided A B C D