Please help me with this
2 answers:
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Answer:
B)
Step-by-step explanation:
We are given,
The graph of the parabola opens downwards.
This means that the leading co-efficient of the function will be negative.
So, options C and D are not possible.
Moreover, it is given that the graph cuts x-axis near i.e.
= 1.5 and
i.e.
= 4.5.
i.e. At y=0, the value of x is near and
.
A. So, in , we put y =0.
i.e.
i.e.
i.e. x = 0.68 and x = 3.41
We see that this does not crosses the x-axis at the given points.
So, option A is wrong.
B. Also, in , we put y =0.
i.e.
i.e.
i.e. x = 1.68 and x = 4.41.
Thus, this equation cuts the x-axis near the given points i.e. 1.5 and 4.5.
Hence, the equation of the given graph is .
It seems appropriate to use the linear regression function of your calculator for this. Looking at the data, you know the slope is generally positive, so only the 1st and 3rd choices are potentially viable.
A calculator shows the correlation coefficient (r) rounds to 0.816, so the appropriate selection is ...
A. 0.816
A calculator shows the correlation coefficient (r) rounds to 0.816, so the appropriate selection is ...
A. 0.816