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Home Question Bank Math Archive 2024 November 06

Math Questions from Nov 06,2024

Browse the Math Q&A Archive for Nov 06,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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30. DOMINOES The first row of a dominoes display has 10 dominoes. Each row after the first has two more dominoes than the row before it. Write the first five terms of the sequence that represents the number of dominoes in each row. Then graph the sequence. Determine where the absolute extrema of \( f(x)=\ln (x+56)+\frac{1}{x} \) occur on \( [-50,-1] \). Give exact answers. The absolute maximum is it occurs when \( x=\square \) and The absolute minimum is occurs when \( x=\square \) Submit Ouestion Use the laws of exponents to solve for \( x \) in the equation \( \frac{4^{\frac{1}{4}}}{x}=4^{\frac{3}{4}} \). (1 point) 2 \( -\frac{1}{2} \) 16 Factor the expression completely \[ 20 x+30 \] 2). Determina gráficamente el límite de la función \( y=\sqrt{x+2} \) cuando \( x \rightarrow 4 \).(valor \( 10 \% \) ) 2) Ben buys a 3-pound bag of trail mix for a hike. He wants to make one ouncejbags for his friends to take on the hike. How many friends can he give ongrounce bags to? Show your work. Find all local extreme values of \( f(x)=\frac{2}{3} x^{3}+x^{2}-12 x-80 \). The FIRST local extreme value, moving from left to right on the graph, is a maximum The SECOND extreme value, moving from left to right on the graph, is a minimum AP LICA. Utiliza identidades fundamentales y del ángulo medio para resolver cada ecuación. a. \( 2 \cos ^{2} x=1+\operatorname{sen} x \) Esmeralda wants to solve for \( x \) in the equation \( 3^{-2 x+1} \cdot 3^{-2 x-3}=3^{-3} \). Which of the following answers should she select? (1 point) \( x=-2 \) \( x=\frac{-5+\sqrt{73}}{8} \) \( x=\frac{1}{4} \) \( x=-4 \) 1. Tarifas de una empresa generadora de energía eléctrica Westside Energy cobra a sus consumidores de energía eléctrica una tarifa base de \( \$ 6.00 \) por mes, más \( \$ 0.10 \) por kilowatt-hora ( kWh ) por los primeros 300 kWh consumidos y \( \$ 0.06 \) por kWh por todo lo consumido de más de 300 kWh . Suponga que un cliente usa \( x \mathrm{kWh} \) de electricidad en un mes. a. Exprese el costo mensual \( \mathbf{E} \) como una función de \( x \) definida por tramos. b. Grafique la función \( \mathbf{E} \) para \( 0 \leq x \leq 600 \).
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