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Home Question Bank Math Algebra Archive 2025 February 14

Algebra Questions from Feb 14,2025

Browse the Algebra Q&A Archive for Feb 14,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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13. Buktikan bahwa jika \( a, b \) dan \( c \) bilangan cacah dengan \( c \neq 0 \) dan \( a \times c<b \times c \) maka a \( <b \) ! 14. Jika a, \( b \) dan \( c \) bilangan cacah dengan \( (a+b)(a-b)=c(a-b) \), apa syarat yang harus dipenuhi agar diperoleh hasil \( (a+b)=c \) ! \( 3 \quad 5 = \frac { n + 14 } { 6 } \) * 17. Ryun runs in a race at a rate of 400 meters per minute. Use a unit (64) multiplier to convert 400 meters per minute to miles per minute. \( (1 \mathrm{mi} \approx 1600 \mathrm{~m} \).) Simplify. 18. a. \( (-2)^{2}-4(3)+(\sqrt{11})^{2} \) (15) (27). \( \frac{m^{2} b^{4} r^{3}}{r^{4} b^{4} m} \) 19. \( \frac{5}{12}-\frac{3}{4} \cdot\left(\frac{9}{5}\right)^{-1} \) Consider the equation \( (y-4)=3(x-5) \). Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry. Use the graph to determine the domain and range of the function. \( f(x)=(x+2)^{2}-1 \) Ratonalize denominator a) \( \frac{7}{\sqrt{3}} \) (B) \( \frac{3+\sqrt{8}}{\sqrt{2}} \) \( \frac{\text { 0. }}{\frac{2+\sqrt{18}}{3-\sqrt{27}}} \) E karr sifer eny cean 2.8.4C-PARUS Mixed Degree Systems Assignment Active Understanding Solution Methods for MixedSystems During batting practice, two pop flies are hit from the same location, 2 s apart. The paths are modeled by the equations \( h=-16 t^{2}+56 t \) and \( h= \) \( -16 t^{2}+156 t-248 \), where \( t \) is the time that has passed since the first ball was hit. Explain how to find the height at which the balls meet. Then find the height to the nearest tenth. DONE Find the coordinates of the vertex for the parabola defined by the given quadratic function. \( f(x)=-x^{2}-8 x+6 \) Find the coordinates of the vertex for the parabola defined by the given quadratic function. \( f(x)=4 x^{2}-8 x+9 \) In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. \[ f(x)=-3(x+1)^{2}+5 \]
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