Questions in mathematics

Questions in mathematics

[Done] What is [tex]\frac{7}{10} - \frac{1}{2}[/tex]?

[Done] Find the discriminant of the equation: \[ 9x^2 + 12x + 4 = 0 \]

[Done] What is the answer to \(7 - 6 \left(\frac{7}{5} + 7\right)\)?

[Done] What is the domain (in interval notation) of the following functions? 1. \( g(x) = \frac{3}{5x-4} \) 2. \( h(x) = \frac{\sqrt{x}}{x-5} \) 3. \( f(x) = \frac{\sqrt{x}}{x^2-5x} \) 4. \( g(x) = \frac{\sqrt{x}+5}{x^2-x-20} \) 5. \( h(x) = \frac{3}{x^2+1} \) 6. \( f(x) = \frac{\sqrt{x-2}}{x+1} \) 7. \( g(x) = \frac{x^2}{3x^2-x-2} \) 8. \( h(x) = 3(x-4)^2-7 \) Note: Number sets in parenthesis are either on top of or beneath the fraction bar, and ^2 here represents a number squared.

[Done] Solve the system of equations by substitution: 1. [tex]y = -3x + 5[/tex] 2. [tex]5x - 4y = -3[/tex]

[Done] In how many ways can 50 cards be chosen from a standard deck of 52 cards using permutations?

[Done] Eighty decreased by three times a number is the same as five times the number increased by eight. Find the number.

[Done] The perimeter of a rectangular picture frame is 30 inches. The length of the frame is three inches less than twice the width. What are the dimensions of the frame?

[Done] Kacey is making a necklace that is 16 inches long. She uses 5 beads for every inch. How many beads will she need? How can I explain how to solve it?

[Done] Find all solutions of the equation. \[ y = -x \] \[ y = x \ln x \]