Switching to common denominators, alexa ran 18/24 of a mile. caleb ran 15/24 of a mile. for alexa’s distance, you would do (2•8)+(3•8). for caleb’s distance you would do (5•3)+(8•3). hope this helped!
<span>First, g(x) = 2x - 2, because when you double both of the terms of x - 1, you have to multiply each of the terms by two, i.e x * 2 = 2x and (-1) * 2 = - 2, so the result is 2x - 2. Comparing the graphs, you have that g(x) 's slope is 2, whils f(x) 's slope is 1, so that means that g(x) is more inclined or, what is the same, grows faster than f(x). Also, you can compare the y-intercepts, given that the y-intercept is the constant terms. So, the y-intercept of g(x) is -2, while the y-intercept of f(x) is - 1. </span>
Answer:
a gas in a rigid container has a pressure of 632 torrs and a temperature of 45 celsius. The pressure has increased to 842 torrs. What is the new temperature of the gas
The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
<h3>How to order the functions?</h3>
The rate of change is calculated using:

For function g at the interval [2,3], we have:

This gives


For function h at the interval [0,2], we have:

Where:
h(2) = 3(3)^2 - 9 = 18
h(0) = 3(3)^0 - 9 = -6
This gives


For function f at the interval [1,2], we have:

This gives


Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
Read more about average rates of change at:
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10*0.2=2
HOPE THIS IS RIGHT!!!!!!!!!!