<span>2 square root (x - 5) = 2. 2^2 (x -5) = 2^2. 4(x - 5) = 4. 4x - 20 = 4. 4x = 24. x = 6. This solution is not extraneous, because extraneous solutions emerge from solving the problem but are not actually valid solutions for the initial problem. With rounding, this solution is valid for the initial problem.</span>
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LCD (1/7, 14/7, 12/13, 5/6)
LCM = (7, 7, 13, 6)
= 2 * 3 * 7 * 13
= 546
1/7 = 78/546
14/7 = 1092/546
12/13 = 504/546
5/6 = 455/546
Calculation:
1/7 + 14/7
= 1 + 14/7
= 15/7
The common denominator you can calculate as the least common multiple of the both denominators: LCM (7, 7) = 7
Add:
15/7 + 12/13
= 15 . 13/7. 13 + 12 . 7/13 . 7
= 195/91 + 84/91
= 195 + 84/91
= 279/91
The common denominator you can calculate as the least common multiple of the both denominators: LCM (7, 13) = 91
Add:
279/91 + 5/6
= 279 . 6/91 . 6 + 5 . 91/6. 91
= 1674/546 + 455/546
= 1674 + 455/546
= 2129/546
The common denominator you can calculate as the least common multiple of the both denominators: LCM (91, 6) = 546
Hence, 546 is the LCM/LCD of (1/7, 14/17, 13/13, 5/6).
Hope that helps!!!!!!
Answer:
It is B
Step-by-step explanation: n is -1.5 and m is 2.5
-1.5 + 2.5 = 2
Answer:
c) 2 + 3 = 5 TRUE
d) 2 + (–3) = -1 True
Step-by-step explanation:
When adding integers (positive and negative whole numbers), there are three cases:
- Positive and positive increases and sum is positive. Ex. 4 + 6 = 10
- Positive and negative where you subtract and take the sign of the larger number. Ex. 3 + -8 = -5 or -3 + 8 = 5
- Negative and negative decrease and the sum if negative. Ex. -4 + -6 = -10.
Use these rules to simplify each expression.
a) 2 + (–3) = -1 not 1 FALSE
b) –3 + 2 = -1 not 5 FALSE
c) 2 + 3 = 5 TRUE
d) 2 + (–3) = -1 True
