Questions in mathematics

Questions in mathematics

📝 Answered - Photography World has a portrait special. A three-pose portrait package has a sitting fee of $35, and a six-pose package has a sitting fee of $60. On a Saturday, $690 was collected in sitting fees. Which equation can be used to represent $x$, the number of three-pose portrait packages and $y$, the number of six-pose portrait packages? A. $360x + 105y = 690 B. $35x + 60y = 690 C. $105x + 360y = 690 D. $60x + 35y = 690

📝 Answered - List the set that satisfies the given condition: A positive multiple of 3 and less than 16. $\ldots,-6,-3,0,3,6,9 \ldots$ ${3,6,9,12,15}$ ${3,6,9,12,15,18 \ldots}$ ${1,2,3, \ldots 16}$

📝 Answered - Solve: [tex]\frac{x^2-x-6}{x^2}=\frac{x-6}{2 x}+\frac{2 x+12}{x}[/tex] After multiplying each side of the equation by the LCD and simplifying, the resulting equation is [tex]3 x ^2+20 x +12=0[/tex] What are the solutions to the equation? A. [tex]x=-6[/tex] and [tex]x=-\frac{2}{3}[/tex] B. [tex]x=-6[/tex] and [tex]x=\frac{2}{3}[/tex] C. [tex]x=6[/tex] and [tex]x=\frac{2}{3}[/tex]

📝 Answered - A pollster conducting a telephone poll of a city's residents asked two questions: 1. Do you currently smoke cigarettes? 2. Regardless of your answer to question 1, would you support a ban on smoking in all city parks? a. Construct a Venn diagram that allows the respondents to the poll to be identified by whether or not they smoke cigarettes and whether or not they support the ban. Choose a reasonable Venn diagram below. A. B. C.

📝 Answered - What are the domain and range of [tex]f(x)=\log (x-1)+2[/tex]? A. domain: [tex]x>1[/tex]; range: [tex]y>2[/tex] B. domain: [tex]x>1[/tex]; range: all real numbers C. domain: all real numbers; range: [tex]y>1[/tex] D. domain: all real numbers; range: all real numbers

📝 Answered - Divide. $3.25 \div 0.5=$

📝 Answered - (a) Find the inverse function of [tex]$f(x)=7 x-8$[/tex]. [tex]$f^{-1}(x)=\frac{x+8}{7}$[/tex] (b) The graphs of [tex]$f$[/tex] and [tex]$f^{-1}$[/tex] are symmetric with respect to the line defined by [tex]$y=$[/tex] ______

📝 Answered - Find the value of $-12+8-(-9)$.

📝 Answered - Select the correct answer from each drop-down menu. Consider the following polynomial equations: [tex] \begin{array}{l} A=3 x^2(x-1) \ B=-3 x^3+4 x^2-2 x+1 \end{array} [/tex] Perform each operation and determine if the result is a polynomial. Is the result of [tex]$A+B$[/tex] a polynomial? Is the result of [tex]$A-B$[/tex] a polynomial? Is the result of [tex]$A \bullet B$[/tex] a polynomial?

📝 Answered - What is the circumference of a circle? A. the length of a line passing across the circle through the center B. the length of a line from the center to any point on the circle C. the distance around the outside of the circle D. the amount of space contained within the circle