Answer:
P is located at (-5, -1) and Q is at (2, -5).
Step-by-step explanation:
IX - 4I ≤ 4
Step-by-step explanation:
The number line indicates that the possible values of x fall within the range:
0 ≤ x ≤ 8
We aim to create an absolute value equation to encompass this set of potential solutions.
An example of such an equation is:
IX - 4I ≤ 4
To form this, we find the midpoint M of our set, which is 4 in this case.
Then, we write:
Ix - MI ≤ IMI
It's important to note my use of the inclusive sign, as the filled dots indicate that the endpoints x = 0 and x = 8 are part of the solution, differing from empty dots which denote an open set requiring < > signs.
Answer: To remove fractions prior to solving, each term in the equation must be multiplied by 
.
Step-by-step explanation:
Consider the given expression:
It is essential to simplify this before attempting to solve it.
Since the denominators differ, identifying the Least Common Denominator (LCD) is necessary.
Break down the denominators into their prime components:
Select 
, as it possesses the greatest exponent. Thus:
Ultimately, to remove the fractions before solving, multiply both sides by 4:
142 pages. Step-by-step explanation: The provided parameters state that the first page of the lost portion of the book is numbered 143. The last page has the same digits as 143. As the book is divided into two segments, one segment begins at page one, while the other follows after the first segment ends. Therefore, the pages in the first section are numbered from 1 up to the first page of the second part minus one, which means the missing part of the book contains pages from 1 to 142, resulting in 142 pages.
X - 3 = 2x - 13
+x +x
-3 = 3x - 13
+13 +13
10 = 3x
10/3 3/3
3.3 = x
