To get to work in the morning, Amanda cycles for 10 miles at the rate of 12 mph. She makes a 10 minutes stop for a cup of coffee, and then rides a bus for 15 minutes. The speed of the bus is 45 mph. A)
At what rate, in mph, would Amanda have to cycle to get to work by 9:45 am if she leaves her house at 8:30 am she wants to have a coffee break that is 10 minutes longer than usual?

B)At what rate, in mph, would Amanda have to cycle to get to work by 9:45 am if she leaves her house at 8:30 am and she wants to have a coffee break that is 5 minutes longer than usual?

Question 1 (50 points) your friend, taylor, missed class today and needs some identifying solutions to systems. explain to taylor how to find the solution(s) of any system using its graph. question 2 (50 points) taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. provide taylor some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)=2x+1g(x)=2x2+1

Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

What is the area of triangle abc if a = 8, b = 11, and c = 15?