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Home Question Bank Math Algebra Archive 2024 November 28

Algebra Questions from Nov 28,2024

Browse the Algebra Q&A Archive for Nov 28,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Convert the following equation into standard form. \[ y=\frac{3}{14}-\frac{x}{7} \] \( [?] x+\square y=\square \) Enter the coefficient of \( x \) as a positive number. Convert the following equation into standard form. \[ y=-9 x \] \( [?] x+y=\square \) 34. The length of a rectangular field is 4 times the width. If its perimeter is 480 metres, find the dimensions of the field. Convert the following equation into standard form. \[ y=-\frac{3 x}{7}+3 \] \( [?] x+\square y=\square \) Enter the coefficient of \( x \) as a positive number. Convert the following equation into standard form. \[ y=-\frac{2 x}{7}+5 \] \( [?] x+\square y=\square] \) Enter the coefficient of \( x \) as a positive number. If I was asked to think of a number and multiply it by 2,1 could write this algebraically as \( 2 x \). Write the following algebraically, using \( x \) as your unknown. "I think of a number, take away 1 and multiply the result by 3 ." 5) Simbolizar y resolver: a) El opuesto de -5 b) El opuesto del módulo de -10 . c) El módulo del opuesto 4 C. \( (-0,25)^{\frac{1}{5}}+0,2-\sqrt{\frac{1}{4}}(-025)^{-2} \). (b) \( a^{3}-b^{3}=(\mathrm{a}-\mathrm{b})\left(\mathrm{a}^{\wedge} 2+\mathrm{ab}^{2}+\mathrm{b}^{\wedge} 2\right) \) (c) \( 125-k^{16}=(\boxed{\square})(\square) \) Good jobt (d) \( y^{9}+8=\left(\mathrm{y}^{\wedge} 3+2\right)\left(\mathrm{y}^{\wedge} 6-2 \mathrm{y}^{\wedge} 3+4\right) \) 4. Roots: \( -\frac{2}{3}, 0,2,3 \) Polynomial Equation: \( \begin{array}{l}\text { 5. Roots: }-\frac{1}{4}, \frac{2}{5}, \frac{7}{4}, 3 \\ \text { Polynomial Equation: }\end{array} \)
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