Answer:
{x = -1 + √13 , x = -1 - √13}
Step-by-step explanation:
<u><em>Completing the square</em></u>:
f(x) = x² + 2x - 12
= x² + 2x + 1 - 1 - 12
= (x² + 2x + 1) - 1 - 12
= (x + 1)² - 13
<u><em>Solving</em></u>:
f(x) = 0
⇔ (x + 1)² - 13 = 0
⇔ (x + 1)² = 13
⇔ x + 1 = √13 or x + 1 = -√13
⇔ x = -1 + √13 or x = -1 - √13
Hope it helps
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Answer: Monitors A and B
Step-by-step explanation:
The similar monitors based on display resolution are those with similar ratios.
Take the ratios to their simplest forms to see which are similar.
Monitor A
= 640 : 480
= 16 : 12
= 4 : 3
Monitor B
= 800 : 600
= 8 : 6
= 4 : 3
Monitor C
= 1,280 : 800
= 32 : 20
= 8 : 5
<em>Monitors A and B are similar as they have the same display ratio. </em>
The mean and standard deviation for the number of boys in the 950 babies are 475 and 15.41, respectively
<h3>How to determine the mean and the standard deviation?</h3>
From the complete question, we have:
P(boy)= 0.5
Sample size = 950
The mean is then calculated as:

This gives

Evaluate

The standard deviation is calculated as:

This gives

Evaluate

Hence, the mean and standard deviation for the number of boys in the 950 babies are 475 and 15.41, respectively
Read more about mean and standard deviation at:
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Answer:
A
Step-by-step explanation:
R = $7,500, i = 12% interest compounded semiannually for 3 years ... 12) Payments of $500 made at the beginning of each year for 7 years at 12% ... 15) If Bob deposits $5,000 at the end of each year for 8 years in an account paying 10% ... annually, find the amount he will have on deposit. $ 575.25. N=8. To = 10.