9514 1404 393
Answer:
y = -2x^2 +7x +4
Step-by-step explanation:
A graphing calculator or spreadsheet can tell you the quadratic regression formula that will fit these points:
y = -2x^2 +7x +4
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If you'd like to do this "by hand", you can substitute the given points into the equation y = ax^2 +bx +c to get three linear equations in a, b, c.
4 = 0 +0 +c
10 = a(2^2) +b(2) +c
0 = a(4^2) +b(4) +c
Using the value of c from the first equation, these reduce to ...
6 = 4a +2b
-4 = 16a +4b
Dividing the second of these equations by 2, and subtracting the first, we have ...
(16a +4b)/2 -(4a +2b) = (-4)/2 -(6)
4a = -8
a = -2
From the first of the reduced equations, we find ...
b = (6 -4a)/2 = 3 -2a = 3 -2(-2) = 7
So, a=-2, b=7, c=4, and the equation is ...
y = -2x^2 +7x +4
Slope equals rise over run
The distance of the points is 4 units down and 2 units right
-4/2 = -2
Slope = -2
The equation used in this problem is <span>f(x)=x^4−x^3−2x−4
The factored version is F(x)=(x-2)(x+1)((x^2)+2)
-I hope this is the answer you are looking for, feel free to post your questions here on brainly in the future.</span>
Answer:
Well the Peloponnesian War helped by the war being so grand and so many people died that the armies were weakened and that led to Macedonia (Phillip II and Alexander the Great) to overrule all of Greece.
I hope that helped
<span>You have not added the options, therefore, I cannot provide an exact answer. However, I can help you with the concept.
In any fraction, the <u>denominator cannot be equal to zero</u> because this would make the fraction <u>undefined</u>.
<u>Excluded values</u> are the values that would make the denominator equal to zero.
We are given that the excluded values are 2 and 5, this means that the factors of the denominator are (x-2) and (x-5)
This means that the denominator is x</span>²<span> - 7x + 10
Pick the fraction which has this denominator.
Hope this helps :)</span>
