The first triangle does. That's the right answer.
Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span>
<span>(x−4<span>)2</span>−31=0</span>
<span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
Answer:
The true average mileage of the Libra Using Null hypothesis is as ;
H0:μ≤26
(Ha):μ >26
Step-by-step explanation:
Given:
Libra, will average better than 26 miles per gallon in the city
To Find:
Average mileage of the Libra.
Solution:
This problem is related to the null hypothesis and alternate hypothesis.
i.e Null Hypothesis is the statement which is true and statement which contradictory is called alternate hypothesis.
<em>“reject H0” if the sample information favors the alternative hypothesis.
</em>
<em>“do not reject H0” / “decline to reject H0” if the sample information is insufficient to reject the null hypothesis</em>
So given that condition is libra will have average better than 26
So it will include 26 and above values .
i.e. True condition is called as null hypothesis (H0)
so true average will be greater than 26
So H0:μ≤26
And the Alternate hypothesis will be the contradictory to true condition
(Ha):μ >26 .
