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zlopas [31]
2 years ago
13

Complete the squar3

Mathematics
1 answer:
cricket20 [7]2 years ago
8 0

9514 1404 393

Answer:

  1. 4
  2. -2
  3. 4
  4. 2
  5. -2±√2

Step-by-step explanation:

In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.

  1. x² +<u> </u><u>4 </u>x +2 = 0

The constant is subtracted from both sides to get the second line.

  2. x² +4x = <u> -2 </u>

The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4

  3. x² +4x +<u> 4 </u> = -2 +4

On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.

  4. √(x +2)² = ±√<u> 2 </u>

Finally, 2 is subtracted from both sides to find the values of x.

  5. x = <u> -2 ±√2 </u>

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What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?
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The average rate of change over the interval is 120

Step-by-step explanation:

For a function f(x) the average rate of change over an interval [a,b] is given as;

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8 0
3 years ago
In which year will 67% of babies be born out of wedlock?
Leviafan [203]

Based on the trend of the increase in children born out of wedlock, if this trend keeps increasing, the year with 67% of babies born out of wedlock will be 2055 .

<h3>What year will 67% of babies be born to unmarried parents?</h3><h3 />

In 1990, the 28% of children were born out of wedlock and this trend was increasing by 0.6% per year.

If the trend continues, the number of years till 67% of children born out of wedlock will be:

= (67%  - 28%) / 0.6%

= 65 years

The year will be:

= 1990 + 65

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The first part of the question is:

According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year.

Find out more on benefits of marriage at brainly.com/question/12132551.

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