Answer:
A shift to the right 8 units
Step-by-step explanation:
Remember to take the opposite of the sign when you are moving horizontally. The -8 signifies that it will be moving right 8 units instead of left.
3x - y + z = 5 . . . (1)
x + 3y + 3z = -6 . . . (2)
x + 4y - 2z = 12 . . . (3)
From (2), x = -6 - 3y - 3z . . . (4)
Substituting for x in (1) and (3) gives
3(-6 - 3y - 3z) - y + z = 5 => -18 - 9y - 9z - y + z = 5 => -10y - 8z = 23 . . (5)
-6 - 3y - 3z + 4y - 2z = 12 => y - 5z = 18 . . . (6)
(6) x 10 => 10y - 50z = 180 . . . (7)
(5) + (7) => -58z = 203
z = 203/-58 = -3.5
From (6), y - 5(-3.5) = 18 => y = 18 - 17.5 = 0.5
From (4), x = -6 - 3(0.5) - 3(-3.5) = -6 - 1.5 + 10.5 = 3
x = 3, y = 0.5, z = -3.5
Answer:
1. -5 and -8
2. -7 and -4
3. -15 and -1
4. 7 and -2
5. -5 and 1
6. 2 and -5
7. -8 and 9
8. 5 and -4
Step-by-step explanation:
Answer: $879.29
Step-by-step explanation:
790(1.055)^2
790(1.113025)
= 879.28975
So, 3 liters of water, add 1/2 liter of lemonade, that's 3 and 1/2 liters of lemonade.
so in short, how many times does 1/3 go into 3 and 1/2?
let's change the mixed to "improper" and divide then.
