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Questions in mathematics

📝 Answered - Which of the following is equivalent to log9w? A. $\log 9+\log w$ B. $\log 9-\log w$ C. $w(\log 9)$ D. $9(\log w)$

📝 Answered - Solve the following inequality: [tex]9.3+x<4.4 x-(-x-6)[/tex]

📝 Answered - What is the range of [tex]f(x)=\sin (x)[/tex]? A. the set of all real numbers [tex]-2 \pi \leq y \leq 2 \pi[/tex] B. the set of all real numbers [tex]-1 \leq y \leq 1[/tex] C. the set of all real numbers [tex]0 \leq y \leq 2 \pi[/tex] D. the set of all real numbers

📝 Answered - The function $g(x)=|x-6|-8$ is graphed. What is the range? A. {y | y&gt;-8} B. {y | y \geq-8} C. {y | y&lt;-8} D. {y | y is all real numbers }

📝 Answered - A painter charges $25 per hour for interior work and $35 per hour for exterior work. If they spend 12 hours working and earn $350, what system of equations represents the situation? a. $25x+35y=350, x+y=12$ b. $35x+25y=350, x+y=12$ c. $35x+25y-12, x+y=350$ d. $25x+35y=12, x+y=350

📝 Answered - When a number is added to $\frac{1}{5}$ of itself, the result is 24. The equation that models this problem is $n+\frac{1}{5} n=24$. What is the value of $n$?

📝 Answered - Fran graphs the equations $y=\frac{7}{4} x^2-2$ and $y=-0.5 x+4$. Her graph is shown below. Which value is a solution of $\frac{7}{4} x^2-2=-0.5 x+4$? $x=-2$

📝 Answered - 1. Find the solution set of the linear inequality [tex]x+4 \leq 3x-16x[/tex]. The domain is {1,2,3,4,5,7,8,9,10}. 2. If [tex]x[/tex] is defined as natural numbers, find the solution set for the inequality [tex]21-5x\ \textless \ 1[/tex]. 3. The variable [tex]k[/tex] has a domain {1,2,3,4,5,6,7,8,9,10}.

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

📝 Answered - What length of bolt is needed to fasten two pieces of metal each 3/5 inch thick, if a 3/16 inch lock washer is used and a 1/8 inch nut is used?