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Questions in mathematics

📝 Answered - Find the value of the expression: [tex]$0.2^6 \cdot 50^7$[/tex]

📝 Answered - Which equation can be rewritten as [tex]x+4=x^2[/tex]? Assume [tex]x \ge 0[/tex]. [tex]\sqrt{x}+2=x[/tex] [tex]\sqrt{x+2}=x[/tex] [tex]\sqrt{x+4}=x[/tex] [tex]\sqrt{x^2+16}=x[/tex]

📝 Answered - Select the correct answer. Which statement describes the graph of the function [tex]f(x)=\frac{x^2-1}{x^2-2 x+1}[/tex]? A. There is a hole at [tex]x=-1[/tex]. B. There is a vertical asymptote at [tex]x=-1[/tex]. C. The [tex]y[/tex]-intercept is [tex]y=-1[/tex]. D. There is a horizontal asymptote at [tex]y=-1[/tex].

📝 Answered - Solve the rational equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) [tex]$2+\frac{9}{r-3}=\frac{3 r}{r-3}$[/tex]

📝 Answered - The capacity of a rectangular tank is 15000 litres. What is the height of the tank if its length is 75 cm and its width is 105 cm?

📝 Answered - What is the equation of the line that is parallel to the line $y=-\frac{1}{3} x+4$ and passes through the point $(6,5)$? A. $y=-\frac{1}{3} x+3$ B. $y=-\frac{1}{3} x+7$ C. $y=3 x-13$ D. $y=3 x+5$

📝 Answered - Divide the polynomials. The form of your answer should either be [tex]$p(x)$[/tex] or [tex]$p(x)+\frac{k}{x-5}$[/tex] where [tex]$p(x)$[/tex] is a polynomial and [tex]$k$[/tex] is an integer. [tex]$\frac{2 x^3-11 x^2+25}{x-5}=\square$[/tex]

📝 Answered - The table below gives the probability density of balls remaining for a game of Bingo. | Letter | B | I | N | G | O | | :----- | :--- | :--- | :--- | :--- | :--- | | Probability | 0.16 | 0.22 | 0.18 | 0.26 | 0.18 | If a ball is selected at random, what is the probability that its letter is an I or G? [tex]P=[?][/tex]

📝 Answered - Select whether the equation has a solution or not. [tex]$\sqrt{x-5}=4$[/tex] A. no roots B. roots

📝 Answered - If [tex]s(x)=x-7[/tex] and [tex]t(x)=4 x^2-x+3[/tex], which expression is equivalent to [tex](t \circ s)(x)[/tex]? A. [tex]4(x-7)^2-x-7+3[/tex] B. [tex]4(x-7)^2-(x-7)+3[/tex] C. [tex](4 x^2-x+3)-7[/tex] D. [tex](4 x^2-x+3)(x-7)[/tex]