Questions in mathematics

Questions in mathematics

📝 Answered - \frac{x+4}{x-2}-\frac{x-2}{x}+4=0

📝 Answered - Mr. Hernandez plotted the point $(1,1)$ on Han's graph of $y \leq \frac{1}{2} x+2$. He instructed Han to add a second inequality to the graph that would include the solution $(1,1)$. Which inequality could Han write? A. $y>2 x+1$ B. $y<2 x-1$ C. $y \geq 2 x+1$ D. $y \leq 2 x-1$

📝 Answered - Select all the correct answers. Which expressions are equivalent to this exponential expression? [tex]\frac{\left(5^2\right)^{-3} \cdot 5^4}{5^4}[/tex] [tex]\frac{1}{5}[/tex] 25 [tex]5^2[/tex] [tex]5^{-1}[/tex] [tex]5^1[/tex]

📝 Answered - For the function [tex]f(x)=\frac{7 x^2-3}{x^2}[/tex] find the values of [tex]f(10), f(50), f(100)[/tex], and [tex]f(1000)[/tex].

📝 Answered - Solve the system of equations. [tex] \begin{array}{l} y=7 x-53 \\ y=-4 x+35 \end{array} [/tex] a. (-3,-8) b. (8,3) c. (-8,3) d. No solution

📝 Answered - A digital clock displays military time in hh:mm format. Find the probability that the number made up of the first two digits on the clock is less than 25.

📝 Answered - Use long division to divide. Specify the quotient and the remainder. [tex]$\left(x^3-521\right) \div(x-8)$[/tex] quotient $\square$ remainder $\square$

📝 Answered - Exercise: 1. Salon borrowed $5,000 at per year simple interest of 5% for two years to buy new hair dryers. How much interest must be paid?

📝 Answered - A man gets a monthly pay of $Nx$. His monthly rent is $8,000.00. After paying his rent, he is left with less than 20,000. Find the range of values of $x$. If 2 is added to the numerator and denominator of a fraction, it becomes $\frac{9}{10}$ and if 3 is subtracted from the same numerator and denominator, it becomes $\frac{4}{5}$. Find the fraction. Write $1011.101_2$ as base 10 number.

📝 Answered - $\frac{9 \frac{1}{3} \times 27 \frac{1}{2}}{3 \frac{-1}{6} \times 3 \frac{1}{3}}$