Questions in mathematics

Questions in mathematics

📝 Answered - Multiply [tex]$\frac{3}{\sqrt{17}-\sqrt{2}}$[/tex] by which fraction will produce an equivalent fraction with a ratio [tex]$\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}$[/tex] [tex]$\frac{\sqrt{17}-\sqrt{2}}{\sqrt{17}-\sqrt{2}}$[/tex] [tex]$\frac{\sqrt{2}-\sqrt{17}}{\sqrt{2}-\sqrt{17}}$[/tex]

📝 Answered - Which property does each equation demonstrate? [tex]x^2+2 x=2 x+x^2[/tex] [tex]\left(3 z^4+2 z^3\right)-\left(2 z^4+z^3\right)=z^4+z^3[/tex] [tex]\left(2 x^2+7 x\right)+\left(2 y^2+6 y\right)=\left(2 y^2+6 y\right)+\left(2 x^2+7 x\right)[/tex]

📝 Answered - A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume [tex]$g$[/tex] represents the number of goals and [tex]$a$[/tex] represents the number of assists. A. [tex]$g+a=24$[/tex] [tex]$g+2 a=42$[/tex] B. [tex]$g+a=24$[/tex] [tex]$2 g+a=42$[/tex] C. [tex]$g+a=42$[/tex] [tex]$g+2 a=24$[/tex] D. [tex]$g+a=42$[/tex] [tex]$2 g+a=24$[/tex]

📝 Answered - Q1. Multiply to find the answer. A. 78.73 x 10 = B. 4.056 x 1,000 = Q2. Divide using the long division method. A. 2.8 ÷ 1.6 B. 61.37 ÷ 1.9 Q3. __ ÷ 0.6 = 2.4. Find the dividend.

📝 Answered - Which is the least populated of the three cities? 1. 13 The population of City A is 12,334,591, that of City B is 12,243,689, and that of City C is 7,285,356.

📝 Answered - C) A = {1, 2, 3, 4, 5, 6} R = {(i, j) | |i - j| = 2}. Find whether R is an equivalence relation or not?

📝 Answered - A (0, 9), B (1, 11), C (3, 13), and D (7, k) are four points. If AB is perpendicular to CD, then k = ? Options: 1) 11 2) -5 3) 6 4) 7/2

📝 Answered - Consider the following equation. $-\left(\frac{3}{2}\right)^x+12=2 x-3$ Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point. A. $x \approx \frac{71}{16}$ B. $x \approx \frac{69}{16}$ C. $x \approx \frac{33}{8}$ D. $x \approx \frac{35}{8}$

📝 Answered - A hat contains slips of paper with the names of the 26 other students in Eduardo's class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them. What is the probability that both of Eduardo's partners for the group project will not be boys?

📝 Answered - Rewrite the equation in factored form. [tex]5 x^2=44 x+9[/tex] [tex]\square = 0[/tex] (Factor completely.) The solution set is {[tex]\square[/tex]}. (Use commas to separate answers as needed. Type each solution only once.)