Questions in mathematics

Questions in mathematics

[Done] The sum of three consecutive odd numbers is 111. What is the smallest of the three numbers? Please write an equation and show all work.

[Done] Which expression is equivalent to \((6 + 2i) - (4 + 3i)\)?

[Done] Find the domain of \( g \). \[ g(x) = \frac{x+5}{2x^2 - x - 3} \]

[Done] The Alan Company bought 80 tickets for a jazz concert. After giving away 20 tickets to customers, the company sold the rest to the employees for half of the purchase price. If the company absorbed a $1,000 loss on all tickets, how much did an employee pay for a ticket?

[Done] The price of a tent was decreased by 15% and sold for $76.49. What was the original price of the tent in dollars?

[Done] Find [tex]\tan 30^\circ[/tex] and [tex]\tan 45^\circ[/tex] using the 45-45-90 triangle theorem and 30-60-90 triangle theorem.

[Done] Robert drew a parallelogram with two 55-degree angles. What are the measures of the other two angles, given that they must both be the same number?

[Done] Expand and simplify the following expression: [tex](a-2b)^3[/tex]

[Done] Tonya took out a loan to help pay for her house. She borrowed $50,000 for 15 years at a yearly simple interest rate of 5%. How much interest will she end up paying the bank?

[Done] In the expression \(5x^3 - 4x^2 + 2x + 3\), what is the coefficient of the quadratic term? Choices: 1.) -5 2.) -4 3.) 3 4.) 4