Questions in mathematics

Questions in mathematics

[Free] Find the value of [tex]$k$[/tex] so that the remainder is 3. [tex]$(x^2+k x-17) \div(x-2)$[/tex] A) 8 B) 6 C) 3 D) 1

[Free] Review the proof of [tex]$\tan (A-B)=\frac{\tan A-\tan B}{1+(\tan A)(\tan B)}$[/tex]. [tex]$\tan (A-B)=[/tex] Step 1: [tex]$=\frac{\sin (A-B)}{\cos (A-B)}$[/tex] Step 2: [tex]$=\frac{\sin A \cos B-\cos A \sin B}{\cos A \cos B+\sin A \sin B}$[/tex] Step 4: [tex]$=\frac{\tan A-\tan B}{1+(\tan A)(\tan B)}$[/tex] To complete step 3, which expression must fill in each blank space? [tex]$\cos (A) \cos (B)$[/tex] [tex]$\cos (A) \sin (B)$[/tex] [tex]$\sin (A) \cos (B)$[/tex] [tex]$\sin (A) \sin (B)$[/tex]

[Free] The table shows a representation of the number of miles a car drives over time. | Hours, $x$ | Miles, $y$ | |---|---| | 3 | 195 | | 4 | 260 | | 5 | 325 | | 6 | 390 | Pattern: Each $x$ value is multiplied by 65 to get each $y$ value. What is the equation for this situation?

[Free] What are the $x$- and $y$-coordinates of point $E$, which partitions the directed line segment from J to K into a ratio of 1:4? $x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1$ $V=\left(\frac{m}{m+n}\right)\left(y_2-y_1\right)+y_1$ A. $(-13,-3)$ B. $(-7,-1)$ C. $(-5,0)$ D. $(17,11)$

[Free] What is the solution of this system of linear equations? [tex]\begin{array}{l} 3 y=\frac{3}{2} x+6 \\ \frac{1}{2} y-\frac{1}{4} x=3 \end{array}[/tex] A. (3,6) B. (2,1) C. no solution D. infinite number of solutions

[Free] \(\left(-\frac{6}{11}\right) \times\left(-\frac{2}{3}\right)\)

[Free] What is the sum of the first 200 odd natural numbers? [tex]S_{200} =[/tex]

[Free] If $x=8$ for the equation $y=\frac{1}{2} x-3$, what is $y$?

[Free] Factor completely $2 x^3+8 x^2+3 x+12$ A. $\left(2 x^2+3\right)(x+4)$ B. $\left(2 x^2+3\right)(x-4)$ C. $\left(2 x^2-3\right)(x+4)$ D. $\left(2 x^2-3\right)(x-4)$

[Free] Find [tex]\(\frac{3}{7}\)[/tex] of 14.