6.
4x^2 + 4 = 0
Divide both sides by 4
x^2 + 1 = 0
Use the quadratic formula since this cannot be factored.
x = (-b +- sqrt(b^2 - 4ac))/(2a)
x = +- sqrt(-4(1)(1))/2
x = +- sqrt(-4)/2
x = +- 2i/2
x = +- i
x = i or x = -i
Quicker solution:
If you have x^2 = number, then
x = +- sqrt(number)
Once you get to
x^2 + 1 = 0
Subtract 1 from both sides
x^2 = -1
Apply the quick method
x = +- sqrt(-1)
x = +- i
8.
2x^2 + 50 = 0
Divide both sides by 2
x^2 + 25 = 0
Subtract 25 from both sides
x^2 = -25
Apply quick method
x = +- sqrt(25)
x = +- 5i
x = 5i or x = -5i
Answer:
1.176 grams
Step-by-step explanation:
Given:
Recommended dose
21 mg per day for 6 weeks
Now,
1 week = 7 days
Thus,
number of days in 6 weeks = 6 × 7 = 42 days
Therefore, the total dose = dose per days × number of days
= 21 × 42 = 882 mg
further,
14 mg per day for 2 weeks
Now,
1 week = 7 days
Thus,
number of days in 2 weeks = 2 × 7 = 14 days
Therefore, the total dose = dose per days × number of days
= 14 × 14 = 196 mg
further,
7 mg per day for 2 weeks
Now,
1 week = 7 days
Thus,
number of days in 6 weeks = 2 × 7 = 14 days
Therefore, the total dose = dose per days × number of days
= 7 × 14 = 98 mg
Hence, the total dose = 882 + 196 + 98 = 1176 mg
also,
1 g = 1000 mg
thus,
1176 mg = 1.176 grams
total quantity received during this course is 1.176 grams
Answer:
18,21,36
Step-by-step explanation:
- You can use Algebra to solve it x+x+3+2x=75 or 4x+3=75 will give you the answer 18
- 18 then plus 3 is 21
- so 18 plus 21 is 39
- Then the greatest number is 18x2=36
- 39+36=75
Note: It seems the first term of your sequence is 7 instead of 2. So, I am assuming you meant the sequence such as;
7, 12, 17, 22, 27
Answer:
The expression for the nth term of the givens sequence is:
Step-by-step explanation:
Given the sequence
7, 12, 17, 22, 27
Here, the first element of the sequence is:
An arithmetic sequence has a constant difference 'd' and is defined by
computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same and equal to
so substituting d = 5 and in the nth term to determine the expression
Therefore, the expression for the nth term of the givens sequence is:
