The statement that is true about the function is D. it is discontinuous and non-differentiable at x = 3.
<h3>How to determine which statement is true?</h3>
To determine which statement is true, we need to know the conditions for continuity and differentiablity of a function.
<h3>
Conditions for continuity and differentiablity of a function.</h3>
- For a function f(x) to be continuous at a point x = a, then both the left hand limit of f(x) and the right hand limit of f(x) as x → a must be equal. That is
. So, 
must exist since 
- Also, for a function to be differentiable at a point x = a, it must also exist at x = a
So, since f(x) = {x² - 1 if -1 ≤ x ≤ 3 and x²/3 if 3 < x ≤ 8}
From the equality on the first condition,we see that f(x) is exists at x = 3 but is not continuous since f(x) changes to another function when x > 3. So,left hand limit of f(x) and the right hand limit of f(x) as x → 3 are not equal.
That is 
. Thus, the function is discontinuous at x = 3.
For differentiability, both conditions must be met. Since only one condition is met, it is non-differentiable.
So, the function is discontinuous and non-differentiable at x = 3.
So, the statement that is true about the function is D. it is discontinuous and non-differentiable at x = 3.
Learn more about continuity of a function here:
brainly.com/question/24177259
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Answer: 895 phones
Step-by-step explanation:
Given that :
The function : y = 1.28e^1.31x ; is used to model the number of camera phones shipped since 1997
y = number of camera phones ; x = number of years since 1997
The number of camera phones shipped in the year 2002 can be obtained thus ;
x = 2002 - 1997 = 5 years
y = 1.28e^(1.31 * 5)
y = 1.28e^6.55
y = 1.28(699.24417)
y = 895.03254
y = 895 phones
The correct statements are:
- There is a positive linear equation between the number of hits and the scores
- The point (7,13) is an outlier.
- If the trend continues, for a game when Tyler's team gets 20 hits, the number of runs scored would be greater than 10 hits.
<h3>What are the correct statements?</h3>
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. On a trend line, an outlier would be far from the trendline.
A positive linear relationship is when as one of the variables increase, the other variable also increases and the trendline is a straight line that is upward sloping.
To learn more about outliers, please check: brainly.com/question/27197311
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H^2=x^2+y^2 and xy=168 so y=168/x
625=x^2+28224/x^2
625=(x^4+28224)/x^2
x^4-625x^2+28224=0
I'll use the quadratic because this is a big number :P
x^2=(625±√(277729))/2
x^2=(625±527)/2
x^2=49
x=7
168/7=24
So the dimensions of the painting is 7 inches by 24 inches.
