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Home Question Bank Math Algebra Archive 2024 December 05

Algebra Questions from Dec 05,2024

Browse the Algebra Q&A Archive for Dec 05,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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The equation of line \( v \) is \( y-10=-7(x+2) \). Une \( w \) includes the point \( (10,1) \) and is ipendicular to line \( v \). What is the equation of line \( w \) ? Given \( g(x)=\sqrt[3]{-4 x+1} \), fing \( g(-7) \) Write answer in simpliffed and in notation. Solve the system of equations by using the addition method. \[ 11 x=18-3 y \] \[ 3(x-2 y)=44+y \] The solution set is \( \{\square\} . \quad \) (ロ, \( \square \). \( \square, \square, \ldots, \frac{\square}{\square} \) Résondre le systeime suivant des congruence : \( \left\{\begin{array}{l}x \equiv 3[17] \\ x \equiv 4[11] \\ x \equiv 5[6]\end{array}\right. \) 17) \( n-4<5 \) a. \( (x+1)^{2} \cdot P(x)+2 x^{3}=3 \cdot\left(x^{3}+x^{2}+x\right)+1 \) Two siblings are saving money to buy a new Play Station 5 . Travis saves \( \$ 15 \) each week and already has \( \$ 12 \) each week and already has \( \$ 75 \) saved. Which inequality below can be used to find \( x \), the number of Carol saves weeks they would save so that Carol's savings are at least Travis's savings? - \( 15 x+55>12 x+75 \) 3. Find the equation of the axis of symmetry or tu following parabola algebraically. \[ \begin{array}{ll}\text { a. }-7 & x^{2}+14 x+48 \\ \text { b. } 7 & \text { c. }-1\end{array} \] 41) The equation of line \( J \) is \( y-10=\frac{1}{3}(x+2) \). Une \( k \), which is parallel to line \( j \), indudes the point \( (-4,-3) \). What is the equation of Ine \( k \) ? 4) The equation of line \( k \) is \( y+3=-\frac{1}{2}(x-7) \). Perpendicular to line \( k \) is line \( f \), which passes through the point \( (7,6) \). What is the equation of line \( f ? \)
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