The expression that completes the function b(x) is b(x) = 33741 * (1.028)^x
<h3>How to determine the expression of b(x)?</h3>
The given parameters are:
Initial value, a = 33741
Rate, r = 2.8%
The cost of tuition each year since 2015 is represented as
B(x) = a * (1 + r)^x
This gives
B(x) = 33741 * (1 + 2.8%)^x
Evaluate
b(x) = 33741 * (1.028)^x
Hence, the expression that completes the function b(x) is b(x) = 33741 * (1.028)^x
Read more about exponential functions at:
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<u>Complete question</u>
A study estimates that the cost of tuition at a university will increase by 2.8% each year. The cost of tuition at the University in 2015 was $33,741 the function b(x) , models the estimated tuition cost , where x is the number of years since 2015.
Find the expression that completes the function b(x)
Simplify:
The equation is already simplified =====> (6x² - x - 1)/(x - 1)
Solve:
Solution (6x² - x - 1)/(x - 1) =======> 6x + 5 + 4/x - 1
Steps:
Apply Long Division on:
(6x² - x - 1)/(x - 1)
Divide:
(6x² - x - 1)/(x - 1):
(6x² - x - 1)/(x - 1) = 6x + 5x - 1/x - 1
= 6x + 5x - 1/x - 1
Divide:
5x - 1/x - 1
5x - 1/x - 1
= 5 + 4/x - 1
Answer ======> 6x + 5 + 4/x - 1
Hope that helps!!!!! : )
Answer:
Angles in a triangle add up to 180.
ABG - x + 90 + ANGLE AGB = 180
Angles on a straight add up to 180.
CDE - 8x + ANGLE D + 3x = 180
Alterate angles - ATTACHMENT
ANGLE D = x
8x + x + 3x = 180
12x = 180
x = 180/12
<h2>x = 15</h2>
3/2
I picked a point and counted up 3 and over 2 to the next point
