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Questions in mathematics

[Done] Work out $\quad \frac{3}{7}+\frac{2}{7}$. Give your answer in its simplest form.

[Done] Simplify the following radical expression. $\sqrt{48}$ A. $16 \sqrt{3}$ B. $4 \sqrt{3}$ C. $4 \sqrt{2}$ D. $6 \sqrt{2}$

[Done] Example: In a city, 675,385 males and 486,450 females voted in the elections. About how many more males voted than females?

[Done] 1. 6 + (9 - 3 x 4) 2. 3 x [(9 + 15) ÷ 8] 3. 4 x (18 - 2 x (16 - 8)) 4. (15 - 6) + (4 - 1) x 8 5. 2 x 3 (3 + 2 x (10 - 9))

[Done] Determine whether each sequence is arithmetic, geometric, or neither. Write your answer before each number. If the sequence is arithmetic, give the common difference. If geometric, give the common ratio. Show your solution. If neither, write "No d/r" as your solution. 1. 6, 18, 54, 162... 2. 4, 10, 16, 22... 3. 1, 1, 2, 3, 5, 8... 4. 625, 125, 25, 5, ... 5. 1/2, 1/4, 1/6, 1/8... 6. 5, 8, 13, 21, 34... 7. -1296, 216, -36, 6... 8. 8, 2, 8, 7, 8, 7, 6... 9. -1/42, -1/35, -1/28, -1/21 10. 11, 2, -7, -16, ...

[Done] A. In a graphing paper or bond paper, make your own algebraic tiles for addition and subtraction of algebraic expressions. Below the algebraic tiles, write the algebraic expression then solve. Example for Addition: (4x² - 6x + 6) + (-3x² + 4x + 4) = x² - 2x + 10 Example for Subtraction: (-6x² + 5x - 8) - (-3x² + 8x - 6) = -3x² - 3x - 2 B. Simplify the following and show your solutions. 1.) Add (12x - 8) and (-20x + 3). 2.) Subtract (9a²bc²) from (4a²bc²). 3.) Subtract (4m² - 2m + 10) by (m² + 6m - 4).

[Done] [\begin{array}{c}-5 \\ 6 \\ 0\end{array}] \cdot[\begin{array}{ll}3 & -1\end{array}]

[Done] Find the slope of the line whose equation is $8 y=2 x+4$.

[Done] Which of the following represents the factorization of the trinomial below? [tex]x^2+24 x+144[/tex] A. [tex](x-12)(x-2)[/tex] B. [tex](x-12)^2[/tex] C. [tex](x+12)(x-12)[/tex] D. [tex](x+12)^2[/tex]

[Done] A student recorded the different types of music their friends like in the table below. | Type of Music | Number of Friends | |---|---| | Country | 3 | | Hip-hop | 4 | | Pop | 1 | | Rock | 2 | Which of the following plots represents the data in the table?