Questions in mathematics

Questions in mathematics

[Answered] 22. Which pair of numbers has a HCF that is not a prime number? (1) 60, 231 (2) 15, 80 (3) 24, 26 (4) 30, 42 27. The maximum number of students among whom 1001 pens and 910 pencils can be distributed, such that each student gets the same number of pens and same number of pencils is: (1) 910 (2) 1001 (3) 91 (4) 191 30. Which of the following is the LCM of 9, 14 and 21? (1) 189 (2) 126 (3) 252 (4) 378

[Answered] What are the $x$- and $y$-coordinates of point P on the directed line segment from $A$ to $B$ such that $P$ is $\frac{2}{3}$ the length of the line segment from $A$ to $B$? $x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1 $ $y=\left(\frac{m}{m+n}\right)\left(y_2-y_1\right)+y_1$ (2,-1) (4,-3) (-1,2) (3,-2)

[Answered] (a) Show that the binomial expansion of $(4+5 x)^{\frac{1}{2}}$ in ascending powers of $x$, up to and including the term in $x^2$ is $2+\frac{5}{4} x+k x^2$, giving the value of the constant $k$ as a simplified fraction. b) (i) Use the expansion from part (a), with $x=\frac{1}{10}$, to find an approximate value for $\sqrt{2}$ Give your answer in the form $\frac{p}{q}$ where $p$ and $q$ are integers. (ii) Explain why substituting $x=\frac{1}{10}$ into this binomial expansion leads to a valid approximation.

[Answered] Which phrase best describes the translation from the graph [tex]y=(x-5)^2+7[/tex] to the graph of [tex]y=(x+1)^2-2[/tex] ? A. 6 units left and 9 units down B. 6 units right and 9 units down C. 6 units left and 9 units up D. 6 units right and 9 units up

[Answered] Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (-2, 2)? Check all that apply. A. (-2,-5) and (-7,-3) B. (-1, 1) and (-6, -1) C. (0,0) and (2,5) D. (1, 0) and (6, 2) E. (3,0) and (8, 2)

[Answered] What is the solution for this inequality? [tex]5x \le 45[/tex] A. [tex]x \ge -9[/tex] B. [tex]x < 9[/tex] C. [tex]x > -9[/tex] D. [tex]x \ge 9[/tex]

[Answered] The slope, $m$, of a line through the distinct points $\left(x_1, y_1\right)$ and $\left(x_2, y_2\right)$ is given by the formula $m=$ $\square$

[Answered] Which of the following functions is the correct inverse for the function [tex]$f(x)=x^2+2$[/tex]? A. [tex]$f^{-1}(x)= \pm \sqrt{x-2}$[/tex] B. [tex]$f^{-1}(x)=x^2-2$[/tex] C. [tex]$f^{-1}(x)= \pm \sqrt{x}-2$[/tex] D. [tex]$f^{-1}(x)= \pm \sqrt{x+2}$[/tex]

[Answered] What must be added to $(5x + 4y)$ to get $(2x - 10y)$?

[Answered] Use all the number cards to fill in the gaps. 70 == 10 7