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Home Question Bank Math Algebra Archive 2024 December 09

Algebra Questions from Dec 09,2024

Browse the Algebra Q&A Archive for Dec 09,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A scientist mixes \( x \) liters of water into a container that has 10 liters of a mixture that is \( 12 \% \) salt and \( 88 \% \) water. The function \( f(x)=\frac{1.2}{x+10} \) represents the percent of salt in the new mixture. How many liters of water must be added to make a \( 1 \% \) salt mixture? water \( =\square \) liters What is the value of \( c \) in the equation \( 12 c-53=91 \) ? \( 3 \frac{1}{6} \) \( 7 \frac{7}{12} \) 12 17 \begin{tabular}{l} Level \( 2 / 3 \) \\ \hline 3) New assistants at Target start out by earning \( \$ 8.50 \) \\ an hour. However, there is a uniform charge of \( \$ 75 \) \\ deducted from their pay. \\ a) Write a rule that relates new employee earnings to \\ the number of hours they work \\ b) How many hours will an employee have to work \\ before they earn a positive paycheck? \\ c) How many hours do they have to work to earn a ne \\ income of \( \$ 100 \) ? \end{tabular} Question 8 If \( 3(2 t-8)+t=2+4 t \), what is the value of \( 3 t \) ? \( 3 t=\square \) 19. \( \log _{3} \sqrt{\frac{x+1}{y}} \) What is the value of \( y \) when \( x=0 \) in the exponential function \( y=4^{x} \) ? v. \( \sqrt{3 x+1}=2 \) Question 7 If \( 2+x=11 \), what is the value of \( 6+3 x ? \) \( 6+3 x=\square \) For an inverse variation, write an equation that gives the value of \( k \) in terms of \( x \) and \( y \). An equation is \( \square \). (Type an equation.) Graph the parabola (do not place any dots) then fill in the blanks about the vertex, any intercepts, the domain, and range. Enter intercepts as ordered pairs, aka points. \( y=x^{2}-2 x \)
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