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SashulF [63]
3 years ago
5

How many terms are in the expression 5x^2-3x+2?

Mathematics
2 answers:
butalik [34]3 years ago
8 0

Answer:

The correct answer is,

the number of terms in the expression 5x² - 3x + 2 is 3

Step-by-step explanation:

The given expression is 5x² - 3x + 2

<u>To find the terms in the expression</u>

The given expression is 5x² - 3x + 2

terms

1) 5x²

2)  3x

3) 2

There are three terms in the given expression.

Therefore the correct answer is 3

Jlenok [28]3 years ago
6 0

There are 3 terms, 5x^2, -3x, and 2

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From the sum of 4x² - 2x +6 and 2x² + 4x-1, subtract 5x2 + 2x -4.
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Answer:

  • x² + 9

Step-by-step explanation:

<u>Add:</u>

  • 4x² - 2x + 6 + 2x² + 4x - 1 = 6x² + 2x + 5

<u>Subtract:</u>

  • 6x² + 2x + 5 - 5x² - 2x + 4 = x² + 9
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Is this sequence arithmetic? If so, what is the common difference (d)? 12, 19, 26, 33
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Step-by-step explanation:

Yes it is.

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The number of motor vehicles registered in millions in the US has grown as follows:
zysi [14]

Answer:

a) Figure attached

b) r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=10 \sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274  

r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.819)^2][10(192.8274) -(43.5231)^2]}}=0.989  

So then the correlation coefficient would be r =0.989

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

Part a

Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985

Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7

After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.

Part b

And in order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=10 \sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274  

r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.81948)^2][10(192.8274) -(43.5231)^2]}}=0.989  

So then the correlation coefficient would be r =0.989

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