Answer:
Step-by-step explanation:
4/x + 4/(x²-9) = 3/(x - 3)
4 / x + 4 / [( x - 3) ( x + 3 )] = 3 / ( x - 3 ) / * x ( x - 3 ) ( x + 3 )
Restrictions : x ≠ 0, x ≠ - 3 , x ≠ 3;
4 ( x + 3 ) ( x - 3 ) + 4 x = 3 x ( x + 3 )
4 ( x² - 9 ) + 4 x = 3 x² + 9 x
4 x² - 36 + 4 x - 3 x² - 9 x = 0
x² - 5 x - 36 = 0
x² - 9 x + 4 x - 36 = 0
x ( x - 9 ) + 4 ( x - 9 ) = 0
( x - 9 ) ( x + 4 ) = 0
x - 9 = 0, or : x + 4 = 0
Answer:
x = 9, x = - 4
1/5 over 1/65 hour. as in 1/5 divided by 1/65 hr
Answer:
slow hiker rate= 1.1mph and fast hiker rate= 5.5 mph
Step-by-step explanation:
lets consider the Speed of the slow hiker =x
Then Speed of fast hiker =x+4.4
As we know that distance is the product of speed and time
therefore,
Distance covered by slow hiker in 5 hours = 5x km
Distance covered by fast hiker in 5 hours=5 (x+4.4)=5x+22 km
As they are are 33 miles apart , therefore
5x + 5x+22 = 33
10x = 33-22
10x = 11
x =11/10 => 1.1
Rate of slow hiker is x i.e 1.1mph
Rate of fast hiker = x+4.4 => 5.5 mph
