The solution and extraneous solution of the equation as given are; x=7 and x=-2 respectively.
<h3>What is the solution of the equation?</h3>
It follows that the equation given is;
(3/(x²+5x+6)) + ((x-1)/(x+2)) = 7/(x+3)
Hence, by multiplying both sides by (x²+5x+6); we have;
3 + x² +2x -3 = 7x + 14.
x²-5x -14 = 0
On this note, the solutions of the quadratic equation are; x =7 and x=-2.
It therefore follows that x= 7 is a solution while x=-2 is an extraneous solution because it renders (x-1)/(x+2) undefined.
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Answer:
Sales tax is an every day example of where percents are used
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Answer:
c .....the answer is c.....
Step-by-step explanation:
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Answer: g^10/h^14
Step-by-step explanation: Just multiply the exponents inside the parentheses (5&7) with the exponent on the outside(2).
Answer:
m∠YWZ=36°
Step-by-step explanation:
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.
If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.
Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then
m∠XWY+m∠YWZ=180°
You are given that
m∠XWY=4(m∠YWZ).
Substitute it into the previous equality:
4(m∠YWZ)+m\angle YWZ=180°
5(m∠YWZ)=180°
m∠YWZ=36°