Here , the ratio <em><u>UV:</u></em><em><u>VW</u></em> and <em><u>UT:TS</u></em> will be in proportion , so ;
Putting the given values ;
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
Full question:
Linear Functions: Taking a Taxi
You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial, your family decides to take a taxi to a restaurant for dinner. After 1 mile, the meter on the taxi says $4.75. It will cost $8.25 to go 3 miles. The cost varies linearly with the distance that you traveled. If you have $11 in your pocket, will you be able to take the cab 5 miles?
Answer:
Cannot go 5 miles having just $11
Step-by-step explanation:
Since the cost varies linearly with the distance that you traveled, to model the linear function for this problem we know that
1 mile = $4.75
And so to go x miles, we require $4.75x
Equation can therefore be modelled thus :
y=4.5x
Where y = total cost of transport in dollars
x= cost in dollars per mile
To find out if we can go 5 miles just having $11, we plug in 5 miles for x into the equation to find total cost of transport going 5 miles
y=4.5*5
y= $22.5
Therefore we cannot go 5 miles just having $11
Answer:
454
Step-by-step explanation:
The formula for this arithmetic sequence is: 9n+4
1st term: 9(1)+4 = 13
2nd term: 9(2)+4 = 22
3rd term: 9(3)+4 = 31
4th term: 9(4)+4 = 40
.
.
.
50th term: 9(50)+4 = 450+4
= 454
