Questions in mathematics

Questions in mathematics

📝 Answered - Study the example below for the product of conjugate pairs. [tex]\begin{array}{l} (3+\sqrt{7})(3-\sqrt{7}) \\ =9-3 \sqrt{7}+3 \sqrt{7}-7 \\ =9-7 \\ =2 \end{array}[/tex] Now, find the product [tex]$(2+\sqrt{5})(2-\sqrt{5})$[/tex]. The product is $\square$.

📝 Answered - $f(x)=x^3+8x^3+2x-15$

📝 Answered - Which line is perpendicular to a line that has a slope of $-\frac{1}{3}$? A. line MN B. line AB C. line EF D. line JK

📝 Answered - \frac{3 y-2}{8 y} \div \frac{9 y^2-4}{6 y+4}

📝 Answered - Which of the given numbers are NOT written correctly? a. IIX b. XVII c. XVV d. XXIXX

📝 Answered - The function [tex]$h(t)=-16 t^2+28 t+500$[/tex] represents the height of a rock [tex]$t$[/tex] seconds after it is propelled by a slingshot. What does [tex]$h(3.2)$[/tex] represent? A. the height of the rock 3.2 seconds before it reaches the ground B. the time it takes the rock to reach the ground, or 3.2 seconds C. the time it takes the rock to reach a height of 3.2 meters D. the height of the rock 3.2 seconds after it is propelled

📝 Answered - Solve the equation. $6-2 x=3 x$

📝 Answered - You can use the recursion [tex]x_n=\frac{(2+1)}{2}[/tex] and the process of iteration to estimate the value of [tex]\sqrt{6}[/tex] without using a calculator. What is the value of the 3rd iterate if [tex]x_0=2.4[/tex]? Carry out your answers to the 5th decimal place. A. [tex]x_3=2.41111[/tex] B. [tex]x_3=2.4495[/tex] C. [tex]x_3=2.45111[/tex] D. [tex]x_3=2.44949[/tex]

📝 Answered - Which point is on the graph of $f(x)=2 \cdot 5^x$? A. $(0,10)$ B. $(0,0)$ C. $(1,10)$ D. $(10,1)$

📝 Answered - Solve the equation $\frac{11}{7} \log _4(x)=10$ for $x$. You must enter your answer exactly (using rational powers). Reminder: you are not allowed to use a calculator.