Questions in mathematics

Questions in mathematics

📝 Answered - Let [tex]$f(x)=\sqrt{x-3}$[/tex] and [tex]$g(x)=\frac{1}{x}$[/tex]. Find the domain of the composite function [tex]$(g \circ f)(x)=g(f(x))$[/tex].

📝 Answered - A fruit juice recipe calls for 5 parts orange juice and 6 parts pineapple juice. Which proportion can be used to find the amount of orange juice, [tex]$j$[/tex], that is needed to add to 21 L of pineapple juice? [tex]\frac{30}{21}=\frac{j}{100}[/tex] [tex]\frac{6}{5}=\frac{j}{21}[/tex] [tex]\frac{6}{j}=\frac{5}{21}[/tex] [tex]\frac{5}{6}=\frac{j}{21}[/tex]

📝 Answered - C(x) = 90000 + 34x R(x) = 413x What is P(x)? Simplify your answer.

📝 Answered - Solve for $w$. $5 w+9 z=2 z+3 w$

📝 Answered - (c) [tex]$3-\sqrt{x-3}=x$[/tex] [tex]$x=$[/tex]

📝 Answered - Find the simple interest on $900.00 for 2 years at 6%.

📝 Answered - Solve the inequality for $x$. $-13<4 x-5$ Simplify your answer as much as possible.

📝 Answered - A rectangular water tank is $[tex]1.5 m \times 1.4 m \times 2 m[/tex]$. How many litres of water does it hold when it is completely filled?

📝 Answered - What is the probability of rolling a number greater than or equal to 6 on a standard six-sided die? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

📝 Answered - The law of cosines for [tex]\triangle R S T[/tex] can be set up as [tex]$5^2=7^2+3^2-2(7)(3) \cos (S)$[/tex]. What could be true about [tex]\triangle R S T[/tex]? Law of cosines: [tex]$a^2=b^2+c^2-2 b c \cos (A)$[/tex] A. [tex]$r=5[/tex] and [tex]$t=7[/tex] B. [tex]$r=3[/tex] and [tex]$t=3[/tex] C. [tex]$s=7[/tex] and [tex]$t=5[/tex] D. [tex]$s=5[/tex] and [tex]$t=3[/tex]