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>
<u><em>Answer:</em></u>
He read 1/3 of the book on the second day
He didn't finish the book in two days.
<u><em>Step-by-step explanation:</em></u>
Lets find 3/5 of 5/9
If we said, find 3/5 of x, the answer would be 3/5x.
3/5*x = 3/5x
In the same way, 
He read 1/3 of the book on the second day
Does 5/9 + 1/3 equal to 1?
1/3 = 3/9
5/9 + 3/9 = 8/9
He didn't finish the book in two days.
Hope this helps :)
Have a nice day!
Answer:
The probability that no more than more than 11 of them need correction for their eyesight is 0.00512
No, 11 is not a significantly low low number of adults requiring eyesight correction .
Step-by-step explanation:
A survey showed that 77% of adults need correction for their eyesight.
If 22 adults are randomly selected, find the probability that no more than more than 11 of them need correction for their eyesight.
n =22
p = 0.77
q = 1-p = 1- 0.77=0.23
We are supposed to find 

Formula : 

Using calculator

So, The probability that no more than more than 11 of them need correction for their eyesight is 0.00512
No, 11 is not a significantly low low number of adults requiring eyesight correction .
Answer:
Implicit function

Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given y² + x - 3=0 ...(i)
Differentiating equation (i) with respective to 'x', we get

⇒ 
⇒ 


Given .46/15.134
Answer: 0.030