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Questions in mathematics

📝 Answered - What is the quotient of [tex]$\left(3 x^4-4 x^2+8 x-1\right) \div(x-2)$[/tex]?

📝 Answered - Find all relative extrema of the function. Use the second derivative test where applicable. (If an answer does not exist, enter DNE.) [tex]f(x)=x^4-8 x^3+1[/tex] relative maximum (x, y) = ( relative minimum (x, y) = (

📝 Answered - Which line is perpendicular to a line that has a slope of $-\frac{1}{3}$? A. line MN B. line $AB$ C. line EF D. line JK

📝 Answered - Solve for $z$. $\frac{x-y+z}{4}=w$

📝 Answered - A student works part-time as a tutor and a cashier. As a tutor, they earn $15 per hour, and as a cashier, they earn $12 per hour. If they work 20 hours and earn $270, what system of equations represents this scenario? a. $15x+12y=270, x+y=20$ b. $15x+12y=20, x+y=270$ c. $12x+15y=270, x+y=20$ d. $12x+15y=20, x+y=270

📝 Answered - Using the simple interest formula [tex]$I=p r t$[/tex], calculate the interest earned on $150 after one year at a [tex]$6\%$[/tex] return rate. A. $90.00 B. $0.09 C. $9.00 D. $4.00

📝 Answered - Show that the total of each column is equal to the total of the sum each row. 20 [tex]\begin{array}{l} 1+3 \\ 1+3+6= \\ 1+3+6+10+6= \\ \begin{array}{lll} 1+3+6+10+15+10 & = \\ 6+15+24+10 & = \end{array} \\ 15+24+10+15+21= \end{array}[/tex] Answer:

📝 Answered - Use the drop-down menus to describe the key aspects of the function [tex]f(x)=-x^2-2 x-1[/tex]. The vertex is the $\square$ The function is increasing $\square$ The function is decreasing $\square$ The domain of the function is $\square$ The range of the function is $\square$

📝 Answered - Consider the following equation: [tex]f(x)=\frac{x^2+4}{4 x^2-4 x-8}[/tex] Name the vertical asymptote(s).

📝 Answered - Which of these is a factor in this expression? [tex]6 z^4-4+9\left(y^3+3\right)[/tex] A. [tex]9\left(y^3+3\right)[/tex] B. [tex]6 z^4-4[/tex] C. [tex]-4+9\left(y^3+3\right)[/tex] D. [tex]\left(y^3+3\right)[/tex]