Answer:
(-5,-28)
Step-by-step explanation:
Given
![f(x)=x^2+10x - 3](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B10x%20-%203)
Required
Find the coordinates of the vertex
Given that the function is a quadratic function;
The general form of a quadratic function is
![f(x)= ax^2+bx +c](https://tex.z-dn.net/?f=f%28x%29%3D%20ax%5E2%2Bbx%20%2Bc)
By comparison;
![a = 1\ b = 10\ and\ c = -10](https://tex.z-dn.net/?f=a%20%3D%201%5C%20b%20%3D%2010%5C%20and%5C%20c%20%3D%20-10)
To calculate the coordinates of the vertex;
we start by calculating the x-coordinate;
![x = \frac{-b}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
Substitute 10 for b and 1 for a
![x = \frac{-10}{2*1}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-10%7D%7B2%2A1%7D)
![x = \frac{-10}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-10%7D%7B2%7D)
![x = -5](https://tex.z-dn.net/?f=x%20%3D%20-5)
Substitute
in the given function;
![y=x^2+10x - 3](https://tex.z-dn.net/?f=y%3Dx%5E2%2B10x%20-%203)
![y=(-5)^2+10*-5 - 3](https://tex.z-dn.net/?f=y%3D%28-5%29%5E2%2B10%2A-5%20-%203)
![y=25-50 - 3](https://tex.z-dn.net/?f=y%3D25-50%20-%203)
![y=-28](https://tex.z-dn.net/?f=y%3D-28)
<em>Hence, the coordinates of the vertex is (-5,-28)</em>
Answer:
18
Step-by-step explanation:
It seems like you've begun to apply the grouping method.
Because the two binomials in the parentheses are the same, we can rewrite this as
(5ab-4)(x+6)
(x+6) cannot be further factored. (5ab-4) cannot be further factored either.
Final answer: (5ab-4)(x+6)
Well, you can't really determine the price of 1 book, but you can find out the average cost.
280 - 16 = 8x (x = cost of 1 book)
264 = 8x
264/8 = 8x/8
33 = x
So the average cost of one book is 33$( A little expensive if I do say so myself)
Hope this helped!
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