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Questions in mathematics

📝 Answered - What is the factored form of the polynomial [tex]x^2-12 x+27[/tex]? A. [tex](x+4)(x+3)[/tex] B. [tex](x-4)(x+3)[/tex] C. [tex](x+9)(x+3)[/tex] D. [tex](x-9)(x-3)[/tex]

📝 Answered - Find the $x$-intercepts and the $y$-intercept of the graph of $f(x)=(x-3)(x-2)(x-1)$ without using technology. Show all work.

📝 Answered - Plot the following points and check whether they are collinear or not: (i) (1, 3), (-1, -1), (-2, -3) (ii) (1, 1), (2, -3), (-1, -2) (iii) (0, 0), (2, 2), (5, 5)

📝 Answered - The order of the linear multistep method [equation] u_{j+1} = (1 - a) u_j + a u_{j-1} + \frac{h}{4} \{(a + 3) u'_j + (3a + 1) u'_{j-1}\} [/equation] for solving u' = f(x, u) is: (A) 4 if a = -1 (B) 3 if a = -1 (C) 4 if a = -2 (D) 3 if a = -2

📝 Answered - Solve the following equation by the square root property. [tex](3 x-2)^2=29[/tex] The solution set is { }. (Simplify your answer. Type an exact answer, using radicals and [tex]i[/tex] as needed. Use a comma to separate answers as needed.)

📝 Answered - What are the potential solutions to the equation below? [tex]2 \ln (x+3)=0[/tex] A. [tex]x=-3[/tex] and [tex]x=-4[/tex] B. [tex]x=-2[/tex] and [tex]x=-4[/tex] C. [tex]x=2[/tex] and [tex]x=-3[/tex] D. [tex]x=2[/tex] and [tex]x=4[/tex]

📝 Answered - Line $AB$ contains points $A(3,-2)$ and $B(1,8)$. The slope of line $AB$ is A. 5 B. -5 C. $\frac{-1}{5}$ D. $\frac{1}{5}$

📝 Answered - Describe the steps to evaluate the summation. What is the sum? [tex] \sum_{j=1}^{200} 2 j(j+3) [/tex]

📝 Answered - The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation [tex]|x-72.5|=4$[/tex]. What are the minimum and maximum temperatures in the house? A. [tex]$72.5^{\circ} F$[/tex] and [tex]$76.5^{\circ} F$[/tex] B. [tex]$68.5^{\circ} F$[/tex] and [tex]$76.5^{\circ} F$[/tex] C. [tex]$70.5^{\circ} F$[/tex] and [tex]$74.5^{\circ} F$[/tex] D. [tex]$72.5^{\circ} F$[/tex] and [tex]$74.5^{\circ} F$[/tex]

📝 Answered - Use logarithms to solve the exponential equation. [tex]2^{x+4}=3^{x-6}[/tex] The solution is [tex]x =[/tex] $\square$ . (Simplify your answer. Round the final answer to three decimal places as needed. Round all intermediate values to six decimal places as needed.)