Answer:
1b. 2/3
2b. 4/3
3b. 3
Step-by-step explanation:
To get the answers to each of these, first change the percentage to a decimal. Then change the mixed number to an improper fraction. Then multiply.
1b.
50% * 1 1/3
5/10 * 4/3
20/30
2/3
2b.
40% * 3 1/3
4/10 * 10/3
40/30
4/3
3b.
80% * 3 3/4
8/10 * 15/4
120/40
3
For this case we have the following inequality:

We multiply both sides of the equation by -1.
By doing this, change the symbol of the inequality.
We have then:

From here, we clear the value of x.
We have then:
Answer:
The solution set is:
{x | x R, x < -12}
Answer: 6 - 2z
Step-by-step explanation:
2 because the square root is 12 and the distance is 12 units
Answer:
b = ⅓
x = ½, -1/7
Step-by-step explanation:
(b−5)x² − (b−2)x + b = 0
(b - 5)(0.5)² - (b - 2)(0.5) + b = 0
0.25b - 1.25 - 0.5b + 1 + b = 0
0.75b = 0.25
b = ⅓
(⅓−5)x² − (⅓−2)x + ⅓ = 0
(-14/3)x² + (5/3)x + 1/3 = 0
14x² - 5x - 1 = 0
14x² - 7x + 2x - 1 = 0
7x(2x - 1) + (2x - 1) = 0
(7x + 1)(2x - 1) = 0
x = 0.5, -1/7