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Home Question Bank Math Pre Algebra Archive 2024 December 27

Pre-algebra Questions from Dec 27,2024

Browse the Pre-algebra Q&A Archive for Dec 27,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( \min (z)=2 x 1+3 x 2 \) s.t: \( : x 1-2 x 2 \leq 4 \) \( x 1-x 2 \geq 3 \) \( x 1, x 2 \geq 0 \) \[ f(x)=\frac{|x|}{x}=\left\{\begin{array}{lr}3 x-1, & x>3, \\ \mathrm{x}^{2}-2, & -2 \leq x \leq 3 \\ 2 x+3, & x<-2,\end{array}\right. \] d the values of \( f(2), f(4), f(-1), f(-3) \) and \( \mathrm{f}(0) \). \[ f(x)=\frac{|x|}{x}=\left\{\begin{array}{lr}3 x-1, & x>3, \\ \mathrm{x}^{2}-2, & -2 \leq x \leq 3 \\ 2 x+3, & x<-2,\end{array}\right. \] d the values of \( f(2), f(4), f(-1), f(-3) \) and \( \mathrm{f}(0) \). 4.13 If \( n \) is the largest integer for which \( n^{200}<5^{300} \), determine the value (NOV 2020) of \( n \). ค่าของ \( P_{6,1}-C_{8,2}+P_{7,3} \) มีค่าตรงกับข้อใด 188 240 120 720 \( 2 \cdot \sqrt{(-4)^{2}}+\sqrt{(-7)^{2}}-3 \cdot \sqrt{(-5)^{2}} \quad \) v) \( \sqrt{6-2}+\sqrt{12-3}-\sqrt{15+1} \) 4.11 Consider the product: \( 1 \times 2 \times 3 \times 4 \times \ldots \ldots \times 30 \) Determine the largest value of \( k \) such that \( 2^{k} \) is a factor of this product (1) Smplify \( \frac{3 \sqrt{2}}{\sqrt{3}+\sqrt{6}}-\frac{4 \sqrt{3}}{\sqrt{6}+\sqrt{2}}+\frac{\sqrt{6}}{\sqrt{2}+\sqrt{3}} \) (1) find the value of \( \frac{7 \sqrt{3}}{\sqrt{10}+\sqrt{3}}-\frac{2 \sqrt{5}}{\sqrt{6}+\sqrt{5}}-\frac{3 \sqrt{2}}{\sqrt{15}+3 \sqrt{2}} \) 19. The sides of a triangle are in the ratio of \( 2: 3: 4 \). If the perimeter is 72 cm , find its sides. 20. In a factory the ratio of number of defective bolts produced to the number of good bulbs is \( 1: 10 \). In one hour the facrory produced 330 bolts. Find the number of defective bulbs produced by the factory in an hour.
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