Work backwards.
After she put half of what she had left in, she had 17.76.
Multiply by 2:
17.76 * 2 = 35.52
Add 25:
35.52 + 25 = 60.52
Add 14.48:
75
So she received $75 on her birthday.
The expression of function g(x) is 
<h3>How to determine the expression?</h3>
The function is given as:

When the function is shifted right by 1 unit, the rule is:
f'(x) = f(x - 1)
So, we have:

When the function is compressed horizontally by a factor of 2, the rule is:
f'(x) = f(x/2)
So, we have:

Hence, the expression of function g(x) is 
Read more about function transformation at:
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Answer:
X=6
Step-by-step explanation:
To find the answer you could do 21 - 15 and that gets you an answer of 6 and thats how to get your answer.
Answer:

Step-by-step explanation:
Let x minutes be the time spent on skills and y minutes be the time spent on conditioning that Greg can complete this week.
1. To avoid excess fatigue, his coach requires Greg to spend no more than 360 minutes training in any week, then

2. When Greg trains, he either spends 45 minutes on skills or 35 minutes on conditioning. If Greg spends x minutes on skills, then
is the number of skills training sessions. If Greg spends y minutes on conditioning, then
is the number of conditioning training sessions. His schedule this week allows him to complete at most 8 training sessions, then

Therefore, the following system of inequalities can be used to determine the time spent on skills, x, and the time spent on conditioning, y, that Greg can complete this week

The description for slope is the rise over run. In other words, this is the ratio of the vertical displacement to the horizontal displacement. In equation form, that would be:
Slope = Δy/Δx = (14000 - 12000)/(3000 ft)
Slope = 2/3
<em>So, the answer is C.</em>