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koban [17]
3 years ago
15

Rewrite the function by completing the square.

Mathematics
1 answer:
Anna [14]3 years ago
4 0

Answer:

y = x^2+14x +(14/2)^2 +8 - (14/2)^2

And solving we got:

y = x^2 +14x +49 + 8 -49

And we can reorder the terms we got:

y =(x+7)^2 -41

And that would be the equivalent expression for the problem

Step-by-step explanation:

For this case we have the following function given:

y = x^2 +14x +8

And we can complete the square adding the middle of 14 squared and subtracted before like this:

y = x^2+14x +(14/2)^2 +8 - (14/2)^2

And solving we got:

y = x^2 +14x +49 + 8 -49

And we can reorder the terms we got:

y =(x+7)^2 -41

And that would be the equivalent expression for the problem

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What is 6 feet, 2 inches plus 4 feet, 8 inches ?
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Answer:

10 ft 10 in

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Note that there are 12 inch in 1 feet. Add corresponding numbers together:

6 ft 2 in + 4 ft 8 in = (6 ft + 4 ft) + (2 in + 8 in) = 10 ft + 10 in

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You look at real estate ads for houses in Naples, Florida. There are many houses ranging from $200,000 to $500,00 in price. The
cricket20 [7]

Answer:

c) skewed to the right.

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We need to remember that is a distribution is skewed to the right then we have the following condition satisfied:

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And if is skewed to the left then we have:

Mean

If the distribution is symmetric we need to satisfy:

Mean = Median=Mode

For this case since we have most of the values between 200000 and 500000 when we put atypical values like 15000000 that would affect the sample mean and on this case the sample mean would larger than the sample median because the median is a robust measure of central tendency not affected by outliers.

So for this special case we can say that the Mean>Median. And probably the median would be higher than the mode so then we can conclude that the best answer for this case would be:

c) skewed to the right.

5 0
3 years ago
Rabbits in a colony breed and give birth to baby rabbits. What model best describes the total number of rabbits in the colony ov
zimovet [89]

Answer: A) Exponential Function

Step-by-step explanation:

Hi, an exponential function describes best the total number of rabbits in the colony over time, because the population tends to multiply by a specific rate over time.

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8 0
3 years ago
Factor 15z^2+17z-18 please show work
siniylev [52]

There is no common factor between 15, 17 and 18 because 17 is prime.  

15z² +17z - 18 =  

d = 17² - 4.15.-18  

d = 289 + 1080  

d = 1369  

z = (-17 +/- \/1369) : 2 * 15  

z = (-17 + 37) : 30  

z' = 20 : 30 = 2/3  

z" = (-17 - 37) : 30  

z" = -54 : 30 = -1.8  

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7 0
3 years ago
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