Algebra Answers

4^x-9*2^x+8 =0

log₃(x+2) = 1+ (log₃x)/2

Determine the complex number z which satisfies the equations |z + 3i| = |z + 5 − 2i| and |z − 4i| = |z + 2i| simultaneously

Each Tuesday, Ryan Airlines reduces its 1-way ticket from Fort Wayne to Chicago from $120 to $30. To receive this special $30 price, the customer must buy a round-trip ticket. Ryan has a nonrefundable 25% penalty fare for CX; it estimates that about eight-tenths of 1% will CXtheir reservations. The airline also estimates this special price will cause a passenger traffic increase from 400-800. Ryan expects revenue for the year to be 53.3% higher than the previous year. Last year, Ryan’s sales were $489,000. To receive the special rate, Janice Miller bought 2round-trip tickets. On other airlines, Janice has paid $95 round trip (w/no cancellation penalty).

a. Calc the % discount Ryan is offering. (nearest 100th %.)

b. Calc the % passenger travel will increase.

c. Calc the sales for new year.

d. Calc Janice’s loss if she cancels one round-trip flight.

e. Approx how many more cancellations can Ryan Airlines expect (after Janice’s cx)? (whole #.) 

Reflect on the concepts of trigonometry. What concepts (only the names) did you need to accommodate the concepts of trigonometry in your mind? What are the simplest trigonometry concepts you can imagine? In your day to day, is there any occurring fact that can be interpreted as periodic patterns? What strategy are you using to get the graphs of trigonometric functions?

10) You and your friends order a meal for $116.29. How much tip should you leave if you want to leave a 12% tip?

(20, 240) and (15,450) lies on line

bandile want to start cycling and she wants to know the slope of the route she planning to take. if her location is indicated on a coordinate system of axis , her starting point is at (2:3) and the finishing point is at (8:6) determine the the slope when straight line is drawn between these points state whether the line has descending or ascending trend from left to right on the co-ordinates system of axis

A. Solve the following Equations: a) |𝑥 − 6| = 3 b) |𝑥 − 4| = |−3𝑥 + 8| c) |2𝑥 + 4| = |5𝑥 + 2|

Question no. 01: A. Solve the following Equations: a) |𝑥 − 6| = 3 b) |𝑥 − 4| = |−3𝑥 + 8| c) |2𝑥 + 4| = |5𝑥 + 2| B. Find the midpoint and distance of the line segment that connects the following points a) (0,3) and (4,7) b) (-9,6) and (-1, -2) c) (-4.5, -12.5) and (4.5, 13) Question no. 02: A. Find the slope, x-intercept and y-intercept form of the following equations a) 5x + 2y =-10 b) 13y -2x = 3 c) 25𝑦 + 31𝑥 − 18 = 10𝑦 d) −3𝑥 + 4𝑦 − 10 = 7𝑥 − 2𝑦 + 50 B. Find the slope of the line that connects the following points a) (0,3) and (4,7) b) (-9,6) and (-1, -2) C. Determine the slope-intercept form of a linear equation, given the listed attributes: a) Slope = -2 and y-intercept = (0,10) b) Slope = -3 and (4, -2) lies on line c) Slope = 0 and (2,4) lies on line d) (3, -2) and (-12,1) lies on line e) (20, 240) and (15,450) lies on line