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xenn [34]
3 years ago
6

Can someone help me? I will mark brainliest!

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

A.

If you work the exponents using laws of indices, they give the same result.

4.2 × 10⁹/ 1.4 x 10⁴ 4.2 × 10²/ 1.4 × 10^(-3)

using laws of indices...

since they are of the same base subtract the powers..

= 10^(9-4) = 10^(2-(-3))

= 10⁵ = 10^ (2+3) = 10⁵

B.

3.0 × 10⁵

C.

30,000.

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The system of the equation doesn't give the solution at (-3, -6).

<h2>Given to us</h2>
  • -4x+y = 6
  • 5x-y =21

<h3>Equation 1,</h3>

-4x+y = 6

solve for y

-4x+y =6\\y= 6+4x

<h3>Equation 2,</h3>

5x-y =21

substitute the value of y in equation 2,

5x-(6+4x) =21\\5x -6 -4x =21\\5x -4x=21+6\\x = 27

Substitute the value of x in equation 2,

5x-y =21\\5(27)-y =21\\135-y = 21\\-y=21-135\\-y = -114\\y=114

We can see that the solution of the two equations is at (27, 114). Also, it can be verified by plotting the line on the graph.

Hence, the system of the equation doesn't give the solution at (-3, -6).

Learn more about system of equations:

brainly.com/question/12895249

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An Outlier is a data point on the scatter plot that does not fall into the pattern of the correlation graph. From the above, 4 points are outliers: extremely high points on stress and emotional well being. These points would affect (increase or decrease) the correlation coefficient depending on where they fall in the pattern. In this case there are 4 outliers out of 60 data points and we know that the more outliers there are the more effect they have on the correlation coefficient and vice versa(also depending on where the outlier is on the scatter plot)

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