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:
4/5
Step-by-step explanation:
To get the answer, find the GCF (greatest common factor) of the numerator and the denominator. Once you have the GCF, divide the 12 and 15 by that number. Here, the GCF is 3.
Answer:
26.4
Step-by-step explanation:
hd hd hd hd hd hd hd hd hd hd hd hd
a = 3, b = 4, and c = 2
a + b = c
3 + 4 = 2
3a + 4b = 2c
<u> -4 -4
</u> <u>3a</u> = <u>-6c
</u> 3 3
a = -2
3a + 4b = 2c
<u>-3 -3
</u> <u>4b</u> = <u>-1c</u>
4 4
<h2>
a = 2c/3 - 4b/3</h2>
Marginal Revenue is defined as the revenue generated with respect to increase in sale of another extra unit of product.
So we will calculate Marginal Revenue equation by finding the change in Revenue with respect to change in Quantity.
Given the Total Revenue Function as:-
Differentiating Total Revenue function (Tr) with respect to quantity (q):-
So Marginal Revenue equation will be, 
