Factors of -6 that add up to -1:
(x - 3)(x + 2)
Set them to 0 and solve for x
<span>x = 3 </span>
<span>x = -2</span>
A fraction that can be equaled to the same as 1/4 is 2/8. Now 2/8 is the larger fraction that can be shortened to 1/4.
Answer:

Step-by-step explanation:
Assuming the given logarithmic equation is

We interchange x and y to get:

We solve for y now:

We add 4 to both sides to get;

Divide through by 4:

Answer:
(15, 12)
Step-by-step explanation:
Let's generate two systems of equations that fit this scenario.
Number of trips to the airport = x
Number of trips from the airport = y
Total number of trips to and from the airport = 27
Thus:
=> equation 1.
Total price for trips to the Airport = 14*x = 14x
Total price of trips from the airport = 7*y = 7y
Total collected for the day = $294
Thus:
=> equation 2.
Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.
7 × 
1 × 
Thus:
=> equation 3
=> equation 4
Subtract equation 4 from equation 3
-7x = -105
Divide both sides by -7
x = 15
Substitute x = 15 in equation 1


Subtract both sides by 15


The ordered pair would be (15, 12)