Questions in mathematics

Questions in mathematics

📝 Answered - y=x^2-14x+24 =x^2+16x+28 Identify where y is 0. 23. f(x)=\frac{1}{3}(x+5), f(x)=\frac{1}{9} x^2+\frac{0}{9} x-\frac{32}{9} (25)a. The two equations f(x)=\frac{1}{3} x^2+\frac{10}{3} x-\frac{2}{3} h=-16 t^2+700 are h=-16 t^2+300 and b. 0=-16 t^2+700. t \approx 6.6 ; 6.6-300, t \approx 4.3 ; 0=-16 t^2+700, 27a. The graph of g(x) \approx 2.3 seconds yards right and 20(x) is the graph of f(x) translated 200 reflected across the yards up, compressed vertically, and +20 29. Transle $x$-axis 27b. h(x)=0.0005(x-230)^2 the right 2 unilate the graph of f(x) up 7 units and to graph is comits. 31b. For f(x)=x^2, when b>1, the when 0<0 m p r e s s e d horizontally. 31c. For f(x)=x^2, 31d. For f(x), the graph is stretched horizontally. the neg f(x)=x^2, when b<0, the squared term offsets This egative. For example, when b=-3,(-3 x)^2=9 x^2. The is the same transformation as when b=3. Therefore, the sign of b has no effect on the transformation of this function. 33. Graph 1: y=-\frac{1}{3} x^2; Graph 2: y=-2 x^2. 35. The graph of y=3 x^2 is narrower than the graph of y=\frac{1}{2} x^2. 37. Both graphs have the same shape, but the graph of y=-3 x^2 opens down while the graph of y=3 x^2 opens up. 39. Both graphs have the same shape, but the graph of y=x^2+2 is translated up 2 units from the graph of y=x^2 and the graph of y=x^2-1 is translated down 1 unit from the graph of y=x^2.

📝 Answered - [tex]\frac{7}{9} \times \frac{4}{28}[/tex]

📝 Answered - Determine [tex]\lim _{z \rightarrow 5} \frac{\sqrt{x^2-9}}{8 x}[/tex] a) [tex]\frac{1}{10}[/tex] b) 4 c) 10

📝 Answered - For the pair of functions f(x) = √x and g(x) = x-11, find the following. a. Find the functions f+g, f-g, fg, and f/g. b. Determine the domain of the functions f+g, f-g, fg, and f/g.

📝 Answered - Is this equation an identity? $-3(t+4)=-3 t-12$ Answer choices: yes no

📝 Answered - Find the solution for the function [tex]$\tan \theta$[/tex] fractional form A. [tex]$\frac{12}{5}$[/tex] B. [tex]$\frac{5}{12}$[/tex] C. [tex]$\frac{13}{12}$[/tex] D. [tex]$\frac{12}{13}$[/tex]

📝 Answered - Select the correct answer. Which expression is equivalent to $\frac{m^3 n^3}{m^4 n^3}$ ? Assume that the denominator does not equal zero. A. $\frac{1}{m n}$ B. $\frac{1}{m}$ C. $\frac{n}{m}$ D. $\frac{m}{n}

📝 Answered - Multiply. Write your answer in simplest form. $\frac{3}{8} \times \frac{5}{7}$

📝 Answered - Completely simplify [tex]$\frac{\frac{x+2}{2}}{\frac{x-7}{x+2}}$[/tex] and state any restrictions on the variable. A. [tex]$\frac{x-7}{2}, x \neq 2$[/tex] B. [tex]$\frac{(x+2)^2}{(x-7)}, x \neq 2$[/tex] C. [tex]$\frac{(x+2)^2}{2(x-7)}, x \neq 7$[/tex] D. [tex]$\frac{x+2}{2(x-7)}, x \neq-7$[/tex]

📝 Answered - The equation $\tan ^{-1}\left(\frac{8.9}{7.7}\right)=x$ can be used to find the measure of angle LKJ. What is the measure of angle LKJ? Round to the nearest whole degree.