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Home Question Bank Math Algebra Archive 2024 November 24

Algebra Questions from Nov 24,2024

Browse the Algebra Q&A Archive for Nov 24,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( x-8=10-5 x \) \( +\begin{array}{c}x-8 \\ 6 x-8= \\ +- \\ +- \\ 6 x+\end{array} \) \( x= \) solution: \( x= \) Convert to a logarithmic equation. \( p^{w}=25 \) \( \begin{array}{l}\text { The equation is } \square . \\ \text { (Use integers or fraction }\end{array} \) Introduction to Quadratic Functions: End-of-Unit Assessment 1. The function \( f \) is given by \( f(x)=x^{2}+4 x \). Which statement is true of \( f \) Function in A. The graph has a \( f \) intercept at \( (0,-4) \) Function in \( \begin{aligned} 4 x+9 & =5 x+7 \\ -4 x & -4 x \\ 9 & =-7 \\ -7 & -7 \\ - & =\end{aligned} \) solution: \( x \) 12) (UEFS-00) O valor de \( \mathrm{b} \in \mathrm{R} \) para que o número \( \mathrm{z}=\frac{1-2 \mathrm{i}}{3+\mathrm{bi}} \) seja real e : a) 6 b) \( 3 / 2 \) c) 0 d) \( -3 / 2 \) e) -6 For the following function, a) determine whether it is one-to-one; \( b \) ) if it is one-to-one, find its inverse fun \( f(x)=x-6 \) Is the given function a one-to-one function? Select the correct choice below and, if necessary, fill in the as A. Yes, the function is one-to-one. The inverse function is \( \mathrm{f}^{-1}(\mathrm{x})= \) (Simplify your answer) Find the solution of the exponential equation \( 11 e^{x}-1=19 \) The exact solution, in terms of the natural logarithm is: \( x= \) The approximate solution, accurate to 4 decimal places is: \( x=\square \) Check Answer A company manufactures and sells \( x \) cellphones per week. The weekly price-demand and cost equations are given below. \( p=400-0.5 x \) and \( C(x)=20,000+130 x \) Determine the number that should be added to complete the square of the expression. Then factor the expression. \( x^{2}-22 x \) Complete the square. What term is needed in the resulting perfect square trinomial? \( x^{2}-22 x+\square \) (Simplify your answer.) Simplify the expression. Assume the denominator does not equal 0 . \( \left(\frac{2 x^{4}}{5 y^{2}}\right)^{3} \) \( \left(\frac{2 x^{4}}{5 y^{2}}\right)^{3}=\square \)
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