This can be expressed using the general formula for a² – b².
Answer:
and 
expressed in interval notation.
Step-by-step explanation:
A compound inequality 
has been provided. Our task is to determine the solution for this inequality.
Initially, we will address each inequality independently, followed by merging the findings by combining the overlapping intervals.
By dividing with a negative number, it is necessary to reverse the inequality sign:
Again, dividing by a negative requires flipping the inequality sign:
In combining both intervals, we will arrive at:
Thus, the solution for the inequality provided is and in interval notation.
Answer:
Joanne might have utilized a rounded figure at a specific decimal point instead of the precise value. When validating her solution with a rounded figure, the outcome may not align precisely. The values, 12.34 and 12.33, are very similar, allowing Joanne to conclude that she correctly solved the multistep equation.
Step-by-step explanation:
Facts
Rounded to the nearest hundred, 2605 becomes 2600. If it had been 2650 or more, it would have rounded to 2700.
Answer:
13%
Detailed breakdown:
Information provided:
- MP = 2080
- Discount = d%
- VAT = (d-2)%
- Cost = 1997.84
Applying the discount:
- 2080 - d% = 2080*(1 - 0.01d)
Including VAT:
- 2080*(1 - 0.01d) + (d - 2)%
- 2080*(1 - 0.01d) * (1 + (d -2)/100)
- 2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84
- (1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
- 0.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605
- - 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
- 0.0001d²- 0.0002d - 0.0195 = 0
- d² - 2d + 195 = 0
Solving this quadratic equation yields:
Therefore
