Questions in mathematics

Questions in mathematics

📝 Answered - A fair six-sided die is rolled and a fair three-sided spinner with equal-sized sections labelled 1, 4, and 8 is spun. The results are added together. What is the probability that the total is greater than 8? Give your answer as a fraction.

📝 Answered - Write the equation of a polynomial function that passes through A, B, C, and D. f(x) =

📝 Answered - Point $M$ is the midpoint of segment KL. Point $N$ is the midpoint of segment ML. Point $K$ is located at $(-7,-6)$, and point $L$ is located at $(1,10)$. What are the coordinates of point $N$? A. $(-1,6)$ B. $(-2,6)$

📝 Answered - The polynomial $p(x)=x^3+3 x^2-4$ has a known factor of $(x-1)$. Rewrite $p(x)$ as a product of linear factors. $p(x) = \square$

📝 Answered - What must be added to $(5x + 4y)$ to get $(2x - y)$?

📝 Answered - Which of the following represents the value of the series below? [tex]S_{28}=\sum_{k=1}^{28}(9 k-4)[/tex] A. [tex]S_{28}=28\left(\frac{5+248}{2}\right)[/tex] B. [tex]S_{28}=(9(28)-4)+(9(1)-4)[/tex] C. [tex]S_{28}=28(5+248)[/tex] D. [tex]S_{28}=28\left(\frac{248-5}{2}\right)[/tex]

📝 Answered - A card is drawn from a deck of cards. What is the probability that the card is a jack or ace?

📝 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] B. [tex](9,126)[/tex] C. [tex](49,81)[/tex] D. [tex](21,9)[/tex]

📝 Answered - Which function is the inverse of [tex]f(x)=2 x+3[/tex] ? A. [tex]f^{-1}(x)=-\frac{1}{2} x-\frac{3}{2}[/tex] B. [tex]f^{-1}(x)=\frac{1}{2} x-\frac{3}{2}[/tex] C. [tex]f^{-1}(x)=-2 x+3[/tex] D. [tex]f^{-1}(x)=2 x+3[/tex]

📝 Answered - -$\frac{5}{8}+\frac{2}{3}$