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Questions in mathematics

[Answered] Consider the following function. [tex]g(x)=3-\frac{2}{3} x[/tex] Step 1 of 2: Find the slope and the [tex]y[/tex]-intercept. Express the intercept as an ordered pair. Simplify your answer.

[Answered] Divide and simplify. $\frac{x^2-12 x+36}{x^2-x-30} \div \frac{x^2-36}{9}$

[Answered] Simplify: [tex]$\frac{6 x^5-2 x-4}{2 x}$[/tex]

[Answered] Escribe, en tu cuaderno, el valor perteneciente a cada expresión que forman: a) $\left[(2)^2\right]^{-1}$ b) $\left\{\left[\left(\frac{192}{15}\right)^5\right]^0\right\}^{-3}$ c) $(0,9)^{15} \div(0,9)^{12}$ d) $[4]^2$ e) $\left[\frac{\left(4^2\right)^{-1}}{16^{-9}}\right]^{-3}$ f) $\frac{\left(\frac{2}{5}\right)^{-2}}{\left(\frac{5}{2}\right)\left(\frac{5}{2}\right)} \times 2$ g) $\frac{25^{-1}}{5^{-2}}+\frac{0,05^{-2}}{0,1^{-3}}$

[Answered] In the equation $R+14=39$, what is the value of $R$? A. 546 B. 25 C. 24 D. 53

[Answered] Add. [tex]$\frac{3}{x}+\frac{x}{x+2}$[/tex]

[Answered] Which polynomials are listed with their correct additive inverse? Check all that apply. [tex]$x^2+3 x-2-x^2-3 x+2$[/tex] [tex]$-y^7-10 ;-y^7+10$[/tex] [tex]$6 z^5+6 z^5-6 z^4,\left(-6 z^5\right)+\left(-6 z^5\right)+6 z^4$[/tex] [tex]$x-1,1-x$[/tex] [tex]$\left(-5 x^2\right)+(-2 x)+(-10) ; 5 x^2-2 x+10$[/tex]

[Answered] On 8th February 2005, it was Tuesday. What was the day of the week on 8th February 2004? A) Tuesday B) Monday C) Sunday D) Wednesday

[Answered] 1. Find A × B if (a) A = {1, 2} and B = {5, 6} (b) A = {2, 5} and B = {4, 6} (c) A = {3, 4} and B = {a, b} (d) A = {5, 7} and B = {c, d} 2. If A = {2, 4}, B = {3, 2} and C = {1, 5}, find the following (a) A × A (b) B × B (c) C × C (d) A × B (e) B × C (f) A × C (g) C × B (h) C × A

[Answered] 1. What is topology? 2. What is a manifold? 3. What are the characteristics of topology? 4. Topology considers continuous transformations.