Questions in mathematics

Questions in mathematics

📝 Answered - Which of the following is equivalent to [tex]$\frac{1}{x+2}-\frac{1}{x-3}$[/tex]?

📝 Answered - a. 5.13 < 5.31 b. 7.3 = 7.03 c. 12.01 = 12.1 d. 11.12 < 11.21 e. 9.21 > 9.12 f. 55.03 = 55.3 g. 74.5 = 74.05 h. 65.01 = 65.1 i. 78.03 = 78.3 j. 68.21 > 68.12 k. 4.05 = 4.5 l. 6.001 < 6.01 m. 2.901 > 2.19 n. 13.201 > 13.12 o. 19.006 = 19.6 p. 29.009 ? 29.9 q. 54.001 > 541 r. 24.1 ? 24.001 s. 47.02 ? 47.002 t. 55.21 < 55.102 u. 19.21 < 19.102 v. 52.03 ? 52.003

📝 Answered - 11. The height of a slippery pole is 10 m and an insect is trying to climb the pole. The insect climbs 5 m in one minute and then slips down by 4 m. In how much time will the insect reach the top? 12. Which is greater, the sum of the first twenty whole numbers or the product of the first twenty whole numbers? 13. If a whole number is divisible by 2 and 4, is it divisible by 8 also?

📝 Answered - Solve the following simultaneous equations algebraically: [tex]\begin{array}{l} 7 x+5 y=8 \ 3 x-2 y=-9 \end{array}[/tex]

📝 Answered - What is the following product? [tex]$\sqrt[3]{16 x^7} \cdot \sqrt[3]{12 x^9}$[/tex] A. [tex]$x^2(\sqrt[3]{28 x^2})$[/tex] B. [tex]$x^5(\sqrt[3]{28 x})$[/tex] C. [tex]$4 x^2(\sqrt[3]{3 x^2})$[/tex] D. [tex]$4 x^5(\sqrt[3]{3 x})$[/tex]

📝 Answered - The solution to $\frac{15}{a^2-1}=\frac{5}{2 a-2}$ is $a=$ $\square$ . The extraneous solution is $a=$ $\square$ .

📝 Answered - Find the value of [tex]$7426 \times 60+7426 \times 30$[/tex].

📝 Answered - Which are the solutions of the quadratic equation? [tex]x^2=7 x+4[/tex] A. [tex]\frac{-7-\sqrt{65}}{2}, \frac{-7+\sqrt{65}}{2}[/tex] B. [tex]{-7,0}[/tex] C. [tex]\frac{7-\sqrt{65}}{2}, \frac{7+\sqrt{65}}{2}[/tex] D. [tex]{7,0}[/tex]

📝 Answered - Which of the following is the inverse of $y=6^x$? A. $y=\log _6 x$ B. $y=\log _x 8$ C. $y=\log _{\frac{1}{6}} x$ D. $y=\log _6 6 x$

📝 Answered - The table represents a linear equation. | x | y | | --- | ---- | | -4 | -11 | | -2 | -6 | | 6 | 14 | | 10 | 24 | Which equation correctly uses point ([tex] (-2,-6) [/tex]) to write the equation of this line in point-slope form? [tex]y-6=\frac{5}{2}(x-2)[/tex] [tex]y-6=\frac{2}{5}(x-2)[/tex] [tex]y+6=\frac{2}{5}(x+2)[/tex] [tex]y+6=\frac{5}{2}(x+2)[/tex]