Questions in mathematics

Questions in mathematics

📝 Answered - Find a₁₃ of the sequence (-1, 38, 77, ...) Formula: [tex]a_n = a_1 + (n-1)d[/tex] Given: [tex]a_1 = -1[/tex] [tex]d = 38 - (-1) = 39[/tex] Solution: [tex]a_{13} = a_1 + (13-1)d[/tex] [tex]a_{13} = -1 + (12)(39)[/tex] Answer: [tex]a_{13} = 467[/tex]

📝 Answered - How many real solutions does the equation $x+3=\sqrt{x+5}$ have? A. zero B. one C. two D. cannot be determined from the graph

📝 Answered - Bethany is 15 years older than twice Mary's age. $B=2 M+15$

📝 Answered - Compare m∠ACB and m∠XYZ.

📝 Answered - 4x - 8 \u2265 12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set in interval notation is \u25a1 . (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer in inter B. The solution set is \u2205. Graph the solution set on a number line. Choose the correct araph below

📝 Answered - To solve $5\left(2^{x+4}\right)=15$, first divide each side by

📝 Answered - Determine if the following represent linear functions or not and explain. 1) | x | y | | --- | --- | | -3 | 1 | | -2 | 2 | | -1 | 3 | | -1 | 4 | | 1 | 5 | 2) [tex]y=\frac{3}{x}-2[/tex] Which table represents the equation [tex]y=-2 x+17[/tex]? A. | x | y | | -- | -- | | 8 | 13 | | 10 | 12 | | 12 | 11 | | 14 | 10 | | 16 | 9 | B. | x | y | | -- | -- | | 2 | 18 | | 4 | 19 | | 6 | 20 | | 8 | 21 | | 10 | 22 | C. | x | y | | -- | -- | | 2 | 21 | | 4 | 25 | | 6 | 29 | | 8 | 33 | | 10 | 37 | D. | x | y | | -- | -- | | 8 | 1 | | 9 | -1 | | 10 | -3 | | 11 | -5 | | 12 | -7 |

📝 Answered - Solve the following system of equations: [tex] \begin{array}{l} x+2 y-6=z \ 3 y-2 z=7 \ 4+3 x=2 y-5 z \end{array} [/tex] A. [tex]x=2, y=1, z=2[/tex] B. [tex]x=0, y=5, z=4[/tex] C. [tex]x=\frac{2}{3}, y=\frac{3}{2}, z=-\frac{23}{6}[/tex] D. [tex]x=\frac{7}{4}, y=\frac{3}{2}, z=-\frac{5}{4}[/tex]

📝 Answered - $\lim _{x \rightarrow 1}\left(\frac{\frac{1}{2} e^{\ln (x+1)}-e^{1-x}}{2 e^{\ln (x)}}\right)$

📝 Answered - The value of a rare baseball card increases by 29% each year. If Andrew bought the baseball card for $150, how much will it be worth after 6 years? Future Amount = [tex]I(1+r)^t[/tex] $[?] Round to the nearest whole number.