Answer:
D.) the initial height of the roller coaster
Step-by-step explanation:
The statements are true about the residual plot and the equation for the line of best fit include:
- The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
- The residual plot has the pattern of a curve.
<h3>
What is Residual plot?</h3>
This shows the residuals on the vertical axis and the independent variable on the horizontal axis.
Since the plot has a curved pattern, the equation for the line of best fit is not a good approximation for the data as the result will be inaccurate.
Read more about Residual plot here brainly.com/question/16180255
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X = -3, y = 2..................
<u>We are given:</u>
An even number 'n', multiplied by the next consecutive even number is 168
<u>Solving for n:</u>
From the given statement, we can say that:
n(n+2) = 168 [<em>n multiplied by the next even number 'n+2'</em>]
n² + 2n = 168
n² + 2n - 168 = 0 [<em>subtracting 168 from both sides</em>]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 <em>[factoring out common terms</em>]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
