Answer:
The second option (5x+14-4x=23+x-9)
Step-by-step explanation:
For an equation to have infinitely many solutions each side must be exactly the same when simplified.
12+4x=6x+10-2x
Combine alike terms.
12+4x=4x+10
Subtract 4x from each side
12=10
This is not true so this equation has no solutions.
5x+14-4x=23+x-9
Combine alike terms
x+14=14+x
subtract x from each side
14=14
This is true so this equation has infinitely many solutions.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer: The interquartile range is preferred when the data are skewed or have outliers. An advantage of the standard deviation is that it uses all the observations in its computation.
Step-by-step explanation:
The interquartile range are resistant to outliers and can be used for data having glaring outliers.
Outliers are values that are too far away from the central value.
Interquartile range is a better option than standard deviation when there are a few extreme values and the distribution is skwed.
ANSWER
A) -1
EXPLANATION
The average rate of change of the given quadratic function on the interval 0 ≤ x ≤4 is the slope of the secant line connecting the points (0,f(0)) and (4,f(4)).
That is the average rate of change is:

From the graph, f(0) is 0 and f(4) is -4.
We plug in these values to obtain;

This simplifies to;


Hence the average rate of change for the given quadratic function whose graph is shown on 0≤x≤4 is -1
Given :
A function f(x) for different range of x.
To Find :
The value of f( -3 ) .
Solution :
We have to find the value of function at x = -3.
Now, in the given figure -3 lies in range x ≤ -2 and definition of function at that range is :

So, putting value of x = -3 in above equation, we get :

Hence, this is the required solution.
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