Questions in mathematics

Questions in mathematics

📝 Answered - Two planes leave from Bole airport at the same time but travel at different speeds. An hour later, one is 300 miles north from the airport and the other is 400 miles east from the airport. What is the distance between the two planes?

📝 Answered - $\frac{1}{x+1}+4=\frac{9}{x+1}$ a. What is/are the value or values of the variable that make(s) the denominators zero? $x=1$ (Simplify your answer. Use a comma to separate answers as needed.) b. Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is {1}. $\square$ . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The solution set is {$x \mid x$ is a real number }. C. The solution set is $\varnothing$.

📝 Answered - If $c(x)=4x-2$ and $d(x)=x^2+5x$, what is $(c \circ d)(x)$? A. $4x^3+18x^2-10x$ B. $x^2+9x-2$ C. $16x^2+4x-6$ D. $4x^2+20x-2$

📝 Answered - Which equation is $y=-6 x^2+3 x+2$ rewritten in vertex form? A. $y=-6(x-1)^2+8$ B. $y=-6\left(x+\frac{1}{4}\right)^2+\frac{13}{8}$ C. $y=-6\left(x-\frac{1}{4}\right)^2+\frac{18}{8}$ D. $y=-6\left(x-\frac{1}{2}\right)^2+\frac{7}{2}$

📝 Answered - What are the domain and range of [tex]f(x)=\log (x+6)-4[/tex]? A. domain: [tex]x>-6[/tex]; range: [tex]y>4[/tex] B. domain: [tex]x>-6[/tex]; range: all real numbers C. domain: [tex]x>6[/tex]; range: [tex]y>-4[/tex] D. domain: [tex]x>6[/tex]; range: all real numbers

📝 Answered - Use what you know about translations of functions to analyze the graph of the function [tex]f(x)=(0.5)^{x-5}+8[/tex]. You may wish to graph it and its parent function, [tex]y=0.5^x[/tex], on the same axes. The parent function [tex]y=0.5^x[/tex] is across its domain because its base, b, is such that . The function, f, shifts the parent function 8 units . The function, f, shifts the parent function 5 units .

📝 Answered - The given function [tex]p(x) = 12,500x + 375,000[/tex] models the estimated growth in the population of a city, where [tex]x[/tex] represents years after 2023. Between 2028 and 2037, by how much is the city's population estimated to grow?

📝 Answered - Solve the system of equations: [tex] \begin{array}{l} y=7 x-53 \\ y=-4 x+35 \end{array} [/tex] A. (-3,-8) B. (8,3) C. (-8,3) D. No solution

📝 Answered - Angle $D$ has a measure between $0^{\circ}$ and $360^{\circ}$ and is coterminal with a $-920^{\circ}$ angle. What is the measure of angle $D$?

📝 Answered - Select the correct answer. Which expression has a value closest to 1? (Use 3.14 as the value of [tex]$\pi$[/tex].) A. [tex]$\frac{7 \pi}{\sqrt{10}}$[/tex] B. [tex]$\sqrt{75}-\sqrt{74}$[/tex] C. [tex]$\sqrt{37}-\sqrt{26}$[/tex] D. [tex]$\frac{3 \sqrt{5}-\sqrt{20}}{\sqrt{2}}$[/tex]