Reliable taxis : for 30 miles
C = 1.5x....x = 30
C = 1.5(30)
C = 45
speedy taxis : for 30 miles
C = 1.1x + 11.5....x = 30
C = 1.1(30) + 11.5
C = 33 + 11.5
C = 44.5
city taxis : for 30 miles
C = 1.25x + 8...x = 30
C = 1.25(30) + 8
C = 37.5 + 8
C = 45.5
the cheapest company is : speedy taxis
Answer: Choice C) no solution
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Explanation:
The first equation says that y and 3x-4 are the same thing.
So we can replace every copy of "y" in the second equation with "3x-4" like so
9x - 3y = 14
9x - 3(3x-4) = 14
9x - 9x + 12 = 14
0x + 12 = 14
0 + 12 = 14
12 = 14
The last equation is false because we get different values on either side. Because the last equation is false, it means the equation 9x-3y = 14 is false when y = 3x-4.
In short, the overall systems of equations is inconsistent and that leads to no solution (choice C).
If you were to graph each equation, you should find that both lines are parallel. Parallel lines never intersect. The solution is the intersection point of any graphed system.
You need to know the cost per ounce, or how many cents per one ounce, and the best buy is the 14-ounce bottle.
Step-by-step explanation:
9) given
10)standard form equation: y=mx+c
where m = slope and c = y-intercept
given m = 8, c = 12,
equation of line :
