Intersection of the first two lines:
Multiply the first equation by 4 and the second by 5:
Subtract the two equations:
Plug this value for y in one of the equation, for example the first:
So, the first point of intersection is 
We can find the intersection of the other two lines in the same way: we start with
Use the fact that x and y are the same to rewrite the second equation as
And since x and y are the same, the second point is 
So, we're looking for a line passing through and . We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be 
In the attached figure, line 
is light green, line 
is dark green, and their intersection is point A.
Simiarly, line 
is red, line 
is orange, and their intersection is B.
As you can see, the line connecting A and B is the red line itself.
Answer:
D. 1/4^5
Step-by-step explanation:
when you add the two, you get 4^-5. since you cannot take a number to a negative power, you have to change the equation to the inverse which is 1/4^5
Answer:
6.28 x 10²
Step-by-step explanation:
first number must be greater than or equal to 1 and less than 10
if you move the decimal to the left you need to increase the power of ten by one for each move
if you move the decimal to the rightt you need to decrease the power of ten by one for each move
Answer: 67
Step-by-step explanation:
Let x = number of passengers.
Case M: x< =75 (no refund)
Cost per passenger = $230
To generate the revenue, we should satisfy
230x =15990
x = 69.5
Set x = 67 in order to generate the revenue.
Case N: x>75
Cost per passenger minus refund = 230 - 5 = $225
Therefore
225x = 15990
x = 71.1
Because x<75, ignore this answer.
More than 75 passengers will generate more than $15990.
1st you would find the volume of the box. L×W×H (length times width time height) and you get 130 in. cubed. Then as a final step you would do 130 in. ÷ 1/4 = 520 cubes
