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Questions in mathematics

[Done] Select the correct answer. What is the solution for $x$ in the equation? $\frac{5}{3} x+4=\frac{2}{3} x$ A. $x=-\frac{1}{7}$ B. $x=4$ C. $x=-4$ D. $x=\frac{12}{7}$

[Done] A home-based sign company uses this function to model its monthly profit, where $x$ is the price of each sign it sells. [tex]p(z)=-10 z^2+400 z-1,500[/tex] What is the company's profit if it sells each sign for $20? A. $1,402 B. $14,420 C. $4,460 D. $18,020

[Done] Simplify. [tex]$\frac{8}{12 x}+\frac{7}{15 x}$[/tex] [tex]$\frac{[?]}{x}$[/tex]

[Done] Simplify $\frac{6-\sqrt{25}}{4}=$

[Done] Which is the joint relative frequency for the people who can only see the sunset? [tex]$\frac{5}{38}$[/tex] [tex]$\frac{7}{38}$[/tex] [tex]$\frac{12}{38}$[/tex] [tex]$\frac{14}{38}$[/tex]

[Done] Solve [tex]\frac{k+1}{2 k-1}=\frac{4}{5}[/tex].

[Done] Using the quadratic formula to solve [tex]4 x^2-3 x+9=2 x+1[/tex], what are the values of [tex]x[/tex]? A. [tex]\frac{1 \pm \sqrt{159} i}{8}[/tex] B. [tex]\frac{5 \pm \sqrt{153} i}{8}[/tex] C. [tex]\frac{5 \pm \sqrt{103} i}{8}[/tex] D. [tex]\frac{1 \pm \sqrt{153}}{8}[/tex]

[Done] Work out $\frac{9}{20} \times 5$ Give your answer as a fraction in its simplest form.

[Done] Find the mixed number equivalent to the improper fraction below. A. $8 \frac{3}{8}$ B. $8 \frac{5}{9}$ C. $8 \frac{4}{8}$ D. $8 \frac{2}{8}$

[Done] What is the rate of change of the function described in the table? | x | y | | --- | ------ | | -1 | 1/10 | | 0 | 1/2 | | 1 | 5/2 | | 2 | 25/2 | | 3 | 125/2 | A. 12/5 B. 5 C. 25/2 D. 25