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Home Question Bank Math Algebra Archive 2024 November 17

Algebra Questions from Nov 17,2024

Browse the Algebra Q&A Archive for Nov 17,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Two towns are 1100 miles apart. A group of hikers start from each town and walk the trail toward each other. They meet after a fotal hiking time of 200 hours. If one group travels \( 1 \frac{1}{2} \) mile per hour laster than the other group, find the rate of each group. The rate of the slower group is \( \square \mathrm{mph} \). (Simplity your answer.) Multiply and simplify completely: \[ (\sqrt{6}-\sqrt{7})(2 \sqrt{6}+3 \sqrt{7})=\square \] 6.69. Costo de producción Un pequeño fabricante de enseres electrodomésticos encuentra que si produce \( x \) hornos tostadores por mes, su costo de producción está đado por la ecuación \[ y=6 x+3000 \] (donde \( y \) se mide en dólares). (a) Trace una gráfica de esta ecuación lineal. (b) ¿Qué representan la pendiente y el punto de intersección \( y \) de la gráfica? Find the \( x \)-intercept(s) and the coordinates of the vertex for the parabola \( y=-x^{2}-10 x-25 \). If there is more than one \( x \) - intercept, separate them with commas. Sarah Meeham blends coflee for Tasti-Delight. She needs to prepare 140 pounds of blended coffee beans selling for \( \$ 4.82 \) per pound. She plans to do this by blending together a high-quality bean costing \( \$ 6.00 \) per pound and a cheaper bean at \( \$ 3.25 \) per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend. She should blend \( \square \) lbs of high quality beans. (Round to the nearest pound as needed.) Find the \( x \)-intercept(s) and the coordinates of the vertex for the parabola \( y=-x^{2}-10 x-25 \). If there is more than one \( x \)-intercept, separate them with commas. ¿Cuál de las siguientes expresiones es equivalente a la peración \( 12^{3} \cdot 13^{3} \) ? 9) Determine the equation of a line that has an \( x \)-intercept of 5 and a \( y \)-intercept of 5 . Jim began a 106 -mile bigyde trip to buld up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 4 hours. If Jim walks at a rate of 4 miles per hour and rides at 40 miles per hour, find the amount of time he spent on the bicycle. Jim rode tor \( \square \) hours. Combine the following expressions. (Assume any variables under an even root are nonnegative.) \( 4 a \sqrt[4]{2 a^{3} b^{9} c^{4}}+2 b^{2} \sqrt[4]{162 a^{7} b c^{4}}+\sqrt[4]{162 a^{7} b^{9} c^{4}}=\square \)
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