Answer:
1. x = +/- 2
- 7
2. x = 
+/- 
3. n = 
+/- 
Step-by-step explanation:
1. Divide both sides by 2: (x + 7)^2 = 8
Square root both sides: x + 7 = +/- 2
Subtract 7 from both sides: x = +/- 2 - 7
2. Square root both sides: x - 3 = 
Since there is a negative inside the radical, we need to have an imaginary number: 
. So, 
Add 3 to both sides: x = +/-
3. Divide by -5 from both sides: (n - 2)^2 = -2
Square root both sides: n - 2 = 
Again, we have to use i: 
Add 2 to both sides: n = +/-
Hope this helps!
Answer: 6/25
Step-by-step explanation:
Number of vowels = 8
Number of consonants = 12
Total number of tiles in bag = (number of vowels + number of consonants)
Total = (12 + 8) = 20
Probability = (required outcomes / total possible outcome)
Probability of choosing a consonants = (number of consonants / total number of word tiles)
P( consonants) = 12 / 20 = 3/5
Since it is with replacement, total number of word tiles will still be 20
Probability of choosing a vowel = (number of vowels / total number of word tiles)
P( vowels) = 8 / 20 = 2/5
Therefore,
P(constant then vowel) = 3/5 * 2/5 = 6/25
