Answer:
12) B --> x < 8/3
13) B --> x ≤ 1/6
Step-by-step explanation:
12) Solving inequalities is just like solving normal equations where you and add, subtract, multiply and divide sides by the same value. Keep in mind dividing or multiplying by a negative flips the sign:
x - 10 < 6 - 5x
Add 5x to both sides to combine the x terms:
x - 10 < 6 - 5x
+5x +5x
6x - 10 < 6
Add 10 to both sides to isolate the x term:
6x - 10 < 6
+10 +10
6x < 16
Now, divide by 6 on both sides:
x < 8/3, this is B
13) Simplify 2 - 4:
2-3(2x + 1) ≤ 6x(-2)
Distribute:
2 - 6x - 3 ≤ -12x
Add 12x to both sides and combine like terms:
6x - 1 ≤ 0
Add 1 to both sides:
6x ≤ 1
Divide by 6:
x ≤ 1/6, this is B
Answer: (4, 8)
Step-by-step explanation:
(4,8)
Answer:
10x2 + 2x + 13.
Step-by-step explanation:
10x2 + 3 - (-2x - 10) (Note you have to put the -2x - 10 in brackets).
= 10x2 + 3 + 2x + 10 (Distributing the negative over the brackets).
= 10x2 + 2x + 13.
The way she has the equation set up, she is only selling 1 bottle of tea and x bottles of water. So, she basically forgot to put the variable in that represents the number of bottles of tea sold
the way it should be : x = # of bottles of water, and y = # of bottles of tea
1.25x + 1.49y = 100
