Questions in mathematics

Questions in mathematics

📝 Answered - What is the following product? [tex]$\sqrt{12} \cdot \sqrt{18}$[/tex] A. [tex]$\sqrt{30}$[/tex] B. [tex]$5 \sqrt{6}$[/tex] C. [tex]$6 \sqrt{5}$[/tex] D. [tex]$6 \sqrt{6}$[/tex]

📝 Answered - Find the sum of the following geometric series: [tex]$\sqrt{2}+\frac{2}{\sqrt{2}}+\frac{1}{2 \sqrt{2}}+\ldots \text { to } 8 \text { term }$[/tex]

📝 Answered - Select the graph of [tex]f(x)=-0.5|x+2|-1[/tex]

📝 Answered - Difference of Squares gives which complex factors for the expression [tex]x^2+3[/tex]? A. [tex](x+3 i)(x-3 i)[/tex] B. [tex](x-i \sqrt{3})(x-i \sqrt{3})[/tex] C. [tex](x+i \sqrt{3})(x-i \sqrt{3})[/tex] D. [tex](x+3 i)^2(x-3 i)^2[/tex]

📝 Answered - A compositor takes 1 hour 45 minutes to compose 24 pages of a book. How long will he take to compose 64 pages? Hint: For composing 1 page, time taken = [tex]\frac{7}{4 \times 24}[/tex] hours. For composing 64 pages, time taken = [tex]\frac{7 \times 64}{4 \times 24}[/tex] hours.

📝 Answered - Find the solutions of the following equations by extracting square roots. 1. 2(x+3)^2 = 18 2. 4a^2 - 147 = a^2 3. 54a^2 - 6 = 24 4. 3c^2 - 5 = 25 5. 2x^2 - 32 = 0

📝 Answered - Which lines are perpendicular to the line [tex]y-1=\frac{1}{3}(x+2)[/tex]? Check all that apply. [tex]y+2=-3(x-4)[/tex] [tex]y-5=3(x+11)[/tex] [tex]y=-3 x-\frac{5}{3}[/tex] [tex]y=\frac{1}{3} x-2[/tex] [tex]3 x+y=7[/tex]

📝 Answered - A vertical line passes through the point $(-3,5)$. Which point is also on this line? A. $(0,0)$ B. $(5,-3)$ C. $(-3,-4)$ D. $(-1,5)$

📝 Answered - Solve for [tex]$x$[/tex]. [tex]$2(4x+5)-3=5x(2+1)$[/tex]

📝 Answered - Complete the following multiplication and division calculations involving fractions (show all the steps). 4.1.1. [tex]$\frac{4}{6} \div \frac{3}{12}$[/tex]