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wariber [46]
3 years ago
6

F(x)=-x^2+8x+15 ...?

Mathematics
1 answer:
rusak2 [61]3 years ago
8 0
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>
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Answer: H_0:\mu=40

H_0:\neq40

Step-by-step explanation:

  • A null hypothesis is a hypothesis where a researcher generally try to disprove, it says that there is no statistically significant relationship between the two variables .
  • An alternative hypothesis says that there is a statistical significance  between two variables.

Claim 1. : Mean age of online dating service users is 40 years.

i.e. \mu=40, since it has equals sign so we take this as null hypothesis.

Claim 2. : Mean age of online dating service users is not 40 years.

\mu\neq40

⇒ Null Hypothesis : H_0:\mu=40

Alternative hypothesis : H_0:\neq40

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Step-by-step explanation:

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Answer:

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We are given that;

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Reaction time;t = 0.5 s

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So, 60 mph would give;

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Answer:

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Step-by-step explanation:

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