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Questions in mathematics

📝 Answered - Given function g(x) = |2x - 5|. Find: (a) the image of -1, (b) the value of k if g(3k + 1) = 3.

📝 Answered - Work out the size of angle ABC. In a triangle, angle A is 35 degrees and angle C is 25 degrees. Find the value of angle B.

📝 Answered - Find the next term in the sequence: [tex]\( \frac{D}{5}, \frac{G}{9}, \frac{J}{14}, \frac{M}{20}, ? \)[/tex] Options: (A) [tex]\( \frac{Q}{26} \)[/tex] (B) [tex]\( \frac{O}{26} \)[/tex] (C) [tex]\( \frac{Q}{27} \)[/tex] (D) [tex]\( \frac{P}{27} \)[/tex]

📝 Answered - Directions: Read the examples below and find numbers which are divisible by 2, 5, and 10. Example 1 748 is an even number and is divisible by 2 875 ends in 5 and is divisible by 5 560 ends in zero and is divisible by 2, 5, 10 Example 2 7,484 is an even number and is divisible by 2 8,375 ends in 5 and is divisible by 5 5,260 ends in zero and is divisible by 2, 5, 10 Example 3 65,592 is an even number and is divisible by 2 14,565 ends in 5 and is divisible by 5 34,560 ends in zero and is divisible by 2, 5, 10

📝 Answered - Type the correct answer in each box. If necessary, use / for the fraction bar(s). Find the solution for this system of equations. [tex]\begin{aligned} 2 x-3 y & =2 \\ x & =6 y-5 \end{aligned}[/tex] x= [ ] y= [ ]

📝 Answered - \frac{5}{a}+\frac{1}{2}=\frac{6}{a}

📝 Answered - Select all the correct systems of equations. Which systems of equations have no solution? [tex] \begin{aligned} x+4 y & =23 \ -3 x & =12 y+1 \end{aligned} [/tex] [tex] \begin{aligned} 2 x+y & =17 \ -4 x & =2 y-34 \end{aligned} [/tex] [tex] \begin{aligned} 2 x+4 y & =22 \ -x & =2 y-11 \end{aligned} [/tex] [tex] \begin{aligned} 3 y & =10-x \ 2 x+6 y & =7 \end{aligned} [/tex] [tex] \begin{aligned} 2 x+y & =15 \ x & =15-2 y \end{aligned} [/tex] [tex] \begin{aligned} y & =13-2 x \ 4 x-y & =-1 \end{aligned} [/tex]

📝 Answered - What are the $x$- and $y$-coordinates of point P on the directed line segment from $K$ to $J$ such that $P$ is $\frac{3}{5}$ the length of the line segment from K to J? $x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1$ $v=\left(\frac{m}{m+n}\right)\left(v_2-v_1\right)+v_1$ A. $(40,96)$ B. $(85,105)$ C. $(80,104)$ D. $(96,72)$

📝 Answered - What is the domain of $y=\log _5 x$? A. all real numbers less than 0 B. all real numbers greater than 0 C. all real numbers not equal to 0 D. all real numbers

📝 Answered - Raphael graphed the functions [tex]g(x)=x+2[/tex] and [tex]f(x)=x-1[/tex]. How many units below the [tex]y[/tex]-intercept of [tex]g(x)[/tex] is the [tex]y[/tex] intercept of [tex]f(x)[/tex]?