Questions in mathematics

Questions in mathematics

📝 Answered - What is the slope of a line that is parallel to [tex]$y=-\frac{1}{2} x-10$[/tex]? A. -2 B. -[tex]$\frac{1}{2}$[/tex] C. [tex]$\frac{1}{2}$[/tex] D. 2

📝 Answered - Use the trade discount system shown in the table to calculate the cost of 800 lbs of product if the retail price is $6 per pound. | | | | :-------- | :--------------- | | 0-100 lbs | 10 % | | 101-400 lbs | 20 % | | 401+ lbs | 40 % |

📝 Answered - Solve the system: [tex] \begin{array}{l} y=x^2+3 x \\ y=12 x^2+3 x \end{array} [/tex] A) No solution B) (12,1) C) (0,0) D) (1,12)

📝 Answered - Write the phrase "the quotient of a number and 9" as a mathematical expression. A) x+9 B) x-9 C) x-9 D) x÷ 9

📝 Answered - Which equations represent the line that is perpendicular to the line [tex]$5 x-2 y=-6$[/tex] and passes through the point [tex]$(5,-4)$[/tex]? Select three options. [tex]$y=\frac{2}{5} x-2$[/tex] [tex]$2 x+5 y=-10$[/tex] [tex]$2 x-5 y=-10$[/tex] [tex]$y+4=-\frac{2}{5}(x-5)$[/tex] [tex]$y-4=\frac{5}{2}(x+5)$[/tex]

📝 Answered - Review the table of values for function [tex]h(x)[/tex]. | x | h(x) | | :---- | :---- | | 8.9 | 3.83 | | 8.99 | -1.19 | | 8.999 | 4.73 | | 9 | undefined | | 9.001 | -4.73 | | 9.01 | 1.19 | | 9.1 | -3.83 | Which statement correctly explains whether [tex]\lim _{x \rightarrow 9} h(x)[/tex] exists? A. The limit does not exist because the values of [tex]h(x)[/tex] seem to oscillate between random values around [tex]x=[/tex] 9. B. The limit does exist because [tex]h(x)[/tex] is defined for all given values around [tex]x=9[/tex], even though [tex]h(x)[/tex] isn't defined at [tex]x=9[/tex]. C. The limit does not exist because [tex]h(x)[/tex] is not defined at [tex]x=9[/tex], and for a limit to exist, the function must be defined at [tex]x=9[/tex]. D. The limit does exist because the values of [tex]h(x)[/tex] to the right of [tex]x=9[/tex] are all opposites of the values of [tex]h(x)[/tex] to the left of [tex]x=9[/tex].

📝 Answered - Express the solution in interval notation. A. [ $6,-5$ ] B. [-5, 6] C. $(-5,6)$ D. $(6,-5)$

📝 Answered - What is the value of $n$ to the nearest whole number? Law of cosines: $a^2=b^2+c^2-2 b c \cos (A)$

📝 Answered - List 5 rational numbers between: (1) 6/2 and 5+89 (2) 1 and 2 (3) 6/9 and 7/3 (4) 2/3 and 2/5

📝 Answered - Each person takes turns rolling two dice. If the sum is odd, the person playing odds gets points equal to the sum of the roll. If the sum is even, the person playing evens gets points equal to the sum of the roll. Note that the points earned is independent of who is rolling the dice. If Jessica is challenged to a game of Sums, which statement is accurate in every aspect in guiding her to the correct choice of choosing to play odds or evens? A. E(odds) will be more because the probability for each odd number being rolled is greater. Therefore, Jessica should play odds. B. E(evens) will be more because the value of the even numbers on the dice are more. Therefore, Jessica should play evens. C. E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes. D. E(evens) will be more because there are more even numbers that result from rolling two dice. Therefore, Jessica should play evens.