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Write an equation that represents the line. Use exact numbers.
2 answers:
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Answer:
Option A is correct.
i.e. x = 1, x = 0 is an extraneous solution.
Step-by-step explanation:
Given the expression
Solving the rational function
Apply fraction across multiply: if
Subtract x(4x+1) from both sides
Simplify
5x² - 4x² - x = 0
x² - x = 0
Factor x² - x = x(x-1)
so
x(x-1) = 0
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
Thus, the solution to the equation is:
But, it is clear that if we substitute x = 0, the equation becomes undefined because we can not have the denominator to be 0.
In other words, the equation is undefined for x = 0
Thus, x = 0 is an extraneous solutions.
Therefore, option A is correct.
i.e. x = 1, x = 0 is an extraneous solution.
Answer:
177 ft below sea level.
Step-by-step explanation:
Initial altitude of the hot air balloon = 282 below sea level
Rate of rise of balloon = 10 ft / second
Time = 12 seconds
Total rise in 12 seconds = Rate of rise of balloon Time
= 120 ft
Now, we will have to subtract to find the new altitude.
New altitude = 282 - 120 = 162 ft
Now, it is given that balloon Captain lowers the balloon 15 ft.
To find the final altitude, we will have to add it to the previous altitude.
Therefore, the final altitude = 162 + 15 = <em>177 ft below sea level </em>