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3 years ago

8

Use the Table below to find the Average Rate of Change from x = -2 to x = 1. Show your work for full credit.

1 answer:

lana66690 [7]3 years ago

6 0

The difference between the x's -2 and 1 = 3

The difference between the corresponding f(x) values is 3 -0 = 3

The average rate of change is f(x) / x = 3/3 = 1

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Lostsunrise [7]

Answer:

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Step-by-step explanation:

<u><em>Given Equation is </em></u>

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

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Product of roots = αβ = c/a

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<em>Now, Finding the equation whose roots are:</em>

α/β ,β/α

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Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

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Product of Roots = $\frac{\alpha }{\beta } \frac{\beta }{\alpha }$

Product of Roots = P = 1

<u><em>The Quadratic Equation is:</em></u>

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

=> $x^2 + \frac{85}{18}x + 1 = 0$

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