Questions in mathematics

Questions in mathematics

📝 Answered - The graph of $h(x)=|x-10|+6$ is shown. On which interval is this graph increasing? A. $(-\infty, 6)$ B. $(-\infty, 10)$ C. $(6, \infty)$ D. $(10, \infty)$

📝 Answered - Which equation represents a line that passes through $(-9,-3)$ and has a slope of -6? A. $y-9=-6(x-3)$ B. $y+9=-6(x+3)$ C. $y-3=-6(x-9)$ D. $y+3=-6(x+9)$

📝 Answered - Divide the polynomials. The form of your answer should either be [tex]$p(x)$[/tex] or [tex]$p(x)+\frac{k}{x+1}$[/tex] where [tex]$p(x)$[/tex] is a polynomial and [tex]$k$[/tex] is an integer. [tex]$\frac{3 x^3+x-11}{x+1}=\square$[/tex]

📝 Answered - Select the correct answer. The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number? A. The equation that represents this situation is $10-x=-18$. The second number is 28. B. The equation that represents this situation is $10+x=-18$. The second number is -28. C. The equation that represents this situation is $x-10=-18$. The second number is -8. D. The equation that represents this situation is $-10+x=-18$. The second number is -8.

📝 Answered - Simplify the expression shown below: [tex]$\left(a^2 b^8 c^5\right)^2\left(a^5 c^2\right)^3\left(a^{-2} b c^{-1}\right)^3$[/tex] A. [tex]$a^{13} b^{19} c^{13}$[/tex] B. [tex]$a^{21} b^{24} c^{10}$[/tex] C. [tex]$6\left(a^8 b^{12} c^4\right)$[/tex] D. [tex]$a^{21} b^{29} c^{14}$[/tex]

📝 Answered - The angle measures associated with which set of ordered pairs share the same reference angle? $\left(-\frac{\sqrt{3}}{2},-\frac{1}{2}\right) ,\left(-\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$ $\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right),\left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right)$ $\left(-\frac{1}{2},-\frac{\sqrt{3}}{2}\right),\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$ $\left(\frac{\sqrt{3}}{2}, \frac{1}{2}\right) ,\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$

📝 Answered - What are the solutions of the equation [tex]$x^4-5 x^2-14=0$[/tex]? Use factoring to solve. A. [tex]$x= \pm \sqrt{7}$[/tex] and [tex]$x= \pm \sqrt{2}$[/tex] B. [tex]$x= \pm i \sqrt{7}$[/tex] and [tex]$x= \pm i \sqrt{2}$[/tex] C. [tex]$x= \pm i \sqrt{7}$[/tex] and [tex]$x= \pm \sqrt{2}$[/tex] D. [tex]$x= \pm \sqrt{7}$[/tex] and [tex]$x= \pm i \sqrt{2}$[/tex]

📝 Answered - Completely expand the logarithm: $3 \log _2\left(\frac{5 x}{3}\right)$

📝 Answered - Select the correct answer. The number of cars that passed through a tollbooth prior to $6 a.m.$ is $1,380$. The number of cars that pass through the tollbooth from 6 a.m. through the morning rush hour increases by $46 \%$ every hour. Which of the following inequalities can be used to determine the number of hours, $t$, after 6 a.m. when the number of cars that have passed through the tollbooth is over 4,300 ? $1,380(1.46)^t<4,300$ $1,380(0.54)^t<4,300$ $1,380(1.46)^t>4,300$ $1,380(0.54)^t>4,300$

📝 Answered - Use the distributive property to remove the parentheses. $-3(3x-4y-6)$