There are many ways in which we can find for the zeros of the problem. We can use the quadratic formula, completing the square, using a graphing calculator, etc.
For this problem, I'll be completing the square.
x² - 6x = -22
Since the constant has been moved to the right side already, we can move on to the next step which is adding (b/2)² to both sides of the equation.
x² - 6x + (-6/2)² = -22 + (-6/2)²
x² - 6x + 9 = -22 + 9
Factor the left side of the equation into a perfect square and simplify the right side.
(x - 3)(x - 3) = -13
Take the square of both sides.
x - 3 = ± √-13
Take out the negative from the square root as the letter "i"
x - 3 = ± i√13
Add 3 to both sides of the equation to let x be by itself.
x = 3 ± i√13
So your two roots will be:
x = 3 + i√13 and x = 3 - i√13
Solution: C. 3 - i√13
I believe your answer is D!
Answer:
A bag of chips costs $1
A pickle costs $1.25
Step-by-step explanation:
P + 2c = 3.25 Start with these two equations
3p + 4c = 7.25
p = -2c + 3.25 Solve for one variable
3(-2c +3.25) + 4c = 7.25 Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1
p + 2(1) = 3.25 Substitute
p + 2 = 3.25
p = 1.25
Answer:
x = 31
Step-by-step explanation:
Recall: An inscribed angle in a circle = ½(measure of intercepted arc)
Therefore:
m<EGF = ½(192°)
3x + 3 = ½(192) (substitution)
3x + 3 = 96
3x + 3 - 3 = 96 - 3
3x = 93
3x/3 = 93/3
x = 31
Answer:
The minimum sample size is 1867 observations.
Step-by-step explanation:
We need to construct an 85% confidence interval that has an error less than 0.06. It means that the difference between the upper limit (UL) and the lower limit (LL) has to be 0.06.
The only variable we can adjust is the number of observations (n)
For a 85% confidence interval, the z-score is 1.440.
The estimated variance (s^2) is 0.81.
The error e is 0.06.
The sample has to be at least of 1867 observations.