So,
We can notice that the graph of g, is translated 2 units to the left and 4 units up. We can express these changes with the following equation:
Answer:
"because the graphs of the two equations overlap each other"
Step-by-step explanation:
If he graphs both equations on the graphing calculator and it shows only one line this can mean only one thing:
<em>Both linear equations are the same</em>
An example of this is
x+y=2
2x+2x=4
If you simplify the second equation by dividing everything by 2 you get the same equation as the first one
This means the answer would be "because the graphs of the two equations overlap each other"
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Answer:
$17,685.45
Step-by-step explanation:
We will use the compound interest formula to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
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The first step is to change 12% into a decimal:
12% -> 
-> 0.12
Next, lets plug in the values:
After 7 years, you will have $17,685.45
hi
f°g mean apply g(x) and then use result of g(x) as "x" in f(x)
so as g(x) = x² +1 and f(x) = 3x+2
so if we call g(x) X we have
f( X) = 3 X +2
now we replace " X" for it's value
f(X) = 3 ( x² +1) +2
f(X) = 3x² +3 +2
f(X) = 3x² +5
so f°g = 3x² +5
