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Home Question Bank Math Algebra Archive 2025 February 12

Algebra Questions from Feb 12,2025

Browse the Algebra Q&A Archive for Feb 12,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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de la Unidad 4, Lección 4 Calcula un valor de \( x \) que haga que la ecuación sea verdadera. \( -(-2 x+1)=9-14 x \) Explica tu razonamiento y comprueba que tu respuesta es correcta. 45. MODELING WITH MATHEMATICS Flying fish use their pectoral fins like airplane wings to glide throug the air. a. Write an equation of the form \( y=a(x-h)^{2}+k \) with vertex \( (33,5) \) that models the flight path, assuming the fish leaves the water at \( (0,0) \). b. What are the domain and range of the function? What do they represent in this situation? domalr c. Does the value of \( a \) change when the flight pathe has vertex \( (30,4) \) ? Justify your answer. You want to have enough flour to divide into 5 piles. Each pile must measure more than 1.5 cups. The inequality you write is \( \frac{f}{5}>1.5 \). Solve the inequality. (1 point) \( f>0.3 \) \( 0 f>6.5 \) \( 0 f>7.5 \) \( O f<7.5 \) Hallar un número sabiendo que el triplo de la suma de él y 1 es igual a su duplo más su triplo What is the solution of the inequality \( 5 j \geq 15 \) ? (1 point) \( \begin{array}{l}j \geq 15 \\ j \leq 3 \\ j<-5 \\ j \geq 3\end{array} \) \( 4 x^{-6} \) \( 4 x^{-6}=\square \) (Simplify your answer. Type exponential notation with positive exponents.) Solve the inequality \( 6 g<3 \). (1 point) \( g<0.5 \) \( g<2 \) \( g<-3 \) \( g>0.5 \) 4. What does the 4 in \( v=4 t+2 \) tell yourabout this situation? \( \qquad \) \( \qquad \) (5) What does the 2 in \( v=4 t+2 \) tell you about this situation? \( \qquad \) \( \qquad \) c) \( (4 a)^{3} \cdot(4 g) \cdot(4 a)^{4}= \) e) \( (2 x)^{5} \cdot(2 x)^{2} \cdot(2 x)^{2}= \) f) \( \frac{m^{4}}{m^{2}}= \) 9) \( \frac{a^{3}}{a^{2}}= \) h) \( \frac{(2 a)^{3}}{(2 a)^{2}}= \) .) \( \frac{(36)^{4}}{(35)^{4}}= \) \( \int \frac{(x y)^{3}}{1 x y)^{15}}= \) 3 Multiple Choice 1 point Simplify the radical. Assume all variables can by any real number. Include absolute value symbols, as needed. \( \sqrt{\frac{2 x^{12} y^{3}}{18 x^{2} y}} \) \( \begin{array}{l}\frac{1}{3} x^{5} y \\ 3 x^{\frac{1}{5}} y^{\frac{1}{2}} \\ \left.\frac{1}{3} \right\rvert\, x^{5} y \\ \frac{1}{3} x^{10} y^{2}\end{array} \)
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