3x + 1y = ¹/₃ ⇒ 9x + 3y = 1
2x - 3y = 2²/₃ ⇒ 2x - 3y = 2²/₃
11x = 3²/₃
11 11
x = ¹/₃
3x + y = ¹/₃
3(¹/₃) + y = ¹/₃
1 + y = ¹/₃
- 1 - 1
y = ⁻²/₃
(x, y) = (¹/₃, ⁻²/₃)
The smallest possible value of z is the denominator of the reduced fraction x/y. We note the prime factors of the members of set y are
... 2², 7, 2³, 3²
so if there are any even members of set x, the fraction can be reduced to something divided by 2. The number 6 in set x is even, so we have
... 6z/4 = 6·2/4 = 3 (an integer) when z=2
The lowest possible value of z is ...
... B) 2
Total to pay per autograph= 8.00+13.25=21.25
Number of autographs you can buy = 2(21.25)= 42.5
You can buy two autographs and have a change of 8.25
Answer:
-75 meters
Step-by-step explanation:
First, subtract 15 from 50, since it is going up:
50 - 15
= 35
Then, add 40, since it is going back down:
35 + 40
= 75
So, the new position is -75 meters relative to sea level
Answer: 
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" the y-intercept.
Since the given line has a y-intercept at (0,-15), then:
The formula for calculate the slope is:
Knowing that the given line contains the points (0,-15) and (-4,-3), we can calculate the slope. This is:
Substituting values into , we get that the equation of the line in Slope-Intercept form is:
