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zlopas [31]
4 years ago
14

The roots of an equation are x = -1 ± i. The equation is: x2 + _____ + 2 = 0.

Mathematics
1 answer:
Serhud [2]4 years ago
4 0

Answer:

x² + 2x + 2 = 0

Step-by-step explanation:

Given that the roots are x = - 1 + i and x = - 1 - i

Then the factors are

(x - (- 1+ i))(x - (- 1 - i)

= (x + 1 - i)(x + 1 + i) ← expand factors

= (x + 1)² - i² → note i² = - 1

= x² + 2x + 1 + 1

= x² + 2x + 2

Equation is x² + 2x + 2 = 0

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3 years ago
For Halloween, 1/4 of the candy sold was chocolate. Of the chocolate sold, 7/8 was made by Nestle. What fraction of all the cand
alukav5142 [94]
\frac{1}{4} * \frac{7}{8} = \frac{7}{32}
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3 years ago
Assume the price of product Y (the quantity of which is plotted on the vertical axis) is initially $15 and the price of X (the q
diamong [38]

Answer:

The budget line will remain unchanged.

Step-by-step explanation:

A budget line helps in showing the possible combinations of two commodities.

We can find the slope of the budget line that is also called the price ratio between two things. If we get a straight line, we say the slope is constant.

Here in the question its given that the initial constraints are (3,15) with initial income of $60. Then the price increases and constraints become (6,30) with an increase in income up to $120.

Therefore, the budget line will not be affected and remain unchanged as each constraint is doubling and the slope will be constant.

7 0
4 years ago
Thank you in advance.
Volgvan

Answer:

Yes this statement is true because 0/3 is 0

3 0
3 years ago
Read 2 more answers
A Statistics class is estimating the mean height of all female students at their college. They collect a random sample of 36 fem
Galina-37 [17]

Answer:

d. ( 63.9, 66.7)

Therefore at 90% confidence interval (a,b) = ( 63.9, 66.7)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 65.3

Standard deviation r = 5.2

Number of samples n = 36

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

65.3+/-1.645(5.2/√36)

65.3+/-1.645(0.866667)

65.3+/-1.42567

65.3+/-1.4

= ( 63.9, 66.7)

Therefore at 90% confidence interval (a,b) = ( 63.9, 66.7)

4 0
4 years ago
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