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Questions in mathematics

📝 Answered - For an emergency service call, a plumbing company charges a flat fee of $60. Which phrase describes the number of hours the plumbing company was at the service? A. at most 2 hours B. at least 2 hours C. at most 3.5 hours D. at least 3.5 hours

📝 Answered - Solve each quadratic function using the quadratic formula. Remember to get the equation equal to zero if it is not already and to leave the answer in simplest form. a. [tex]$-8 x^2-11 x-2=0$[/tex] b. [tex]$3 x^2+4 x-11=-12$[/tex] c. [tex]$5 x^2+10 x-16=-12$[/tex] d. [tex]$5 x^2-12 x+9=0$[/tex]

📝 Answered - Jason invested $360 in an account paying an interest rate of 5.4% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 9 years?

📝 Answered - $(7 x+2)^2=16$ The solution set is { }. (Simplify your answers. Type exact answers, using radicals as needed. Use a comma to separate answers as needed.)

📝 Answered - If [tex]f(x)=5 x^3-2[/tex] and [tex]g(x)-x+1[/tex], find [tex](f-g)(x)[/tex]. A. [tex]5 x^2-x-1[/tex] B. [tex]5 x^4-2[/tex] C. [tex]5 x^3+1[/tex] D. [tex]5 x^3-x-3[/tex]

📝 Answered - Subtract $(3+2 i)$ from $(-9-8 i)$.

📝 Answered - Which of the following describes the transformations of [tex]g(x)=-(2)^{x+4}-2[/tex] from the parent function [tex]f(x)=2^x[/tex] ? A. shift 4 units left, reflect over the [tex]x[/tex]-axis, shift 2 units down B. shift 4 units left, reflect over the [tex]y[/tex]-axis, shift 2 units down C. shift 4 units right, reflect over the [tex]x[/tex]-axis, shift 2 units down D. shift 4 units right, reflect over the [tex]y[/tex]-axis, shift 2 units down

📝 Answered - An animal hospital advertises a veterinarian's starting salary as $50,000 for the first year, with increases of $1,500 each year for the next nineteen years. The total salary is represented by the series shown. [tex]\sum_{k=1}^{20}[50,000+(k-1) 1,500][/tex] Which is equivalent to the series? Check all that apply. [tex]\sum_{k=1}^{20} 50,000+\sum_{k=1}^{20}(k-1) 1,500[/tex] [tex]\sum_{k=1}^{20} 50,000+1,500 \sum_{k=1}^{20}(k-1)[/tex] [tex]50,000 \sum_{k=1}^{20} k+1,500 \sum_{k=1}^{20}(k-1)[/tex] [tex]\sum_{k=1}^{20} 50,000+1,500 \sum_{k=1}^{20} k-\sum_{k=1}^{20} 1,500[/tex]

📝 Answered - If [tex]f(x)=\frac{x-3}{x}[/tex] and [tex]g(x)=5 x-4[/tex], what is the domain of [tex](f \circ g)(x)[/tex] ? A. [tex] \{x \mid x \neq 0\} [/tex] B. [tex]\left\{x \left\lvert\, x \neq \frac{1}{3}\right.\right\}[/tex] C. [tex]\left\{x \left\lvert\, x \neq \frac{4}{5}\right.\right\}[/tex] D. [tex] \{x \mid x \neq 3\} [/tex]

📝 Answered - Which statement is true about angles 3 and 5?