If you have moved z from -1 to +1, you have moved it +2 (2 to the right). If you move z from 5 to 1 you have moved it down 4. So your rule here in coordinate form is (+2, -4). Add 2 to each of the other x coordinates and subtract 4 from each of the other y coordinates to get the new points. A(3, -1) P(0, 0) Z(1, 1)
<em>Greetings from Brasil...</em>
The area of a square is given by the expression: A = L² <em>(where L is the side length)</em>
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A cube has 6 sides and each side is a square. So the surface area of a cube will be 6x the area of a square of this cube.
<h3>Acube = 6L²</h3>
Plug x = 0 into the function
f(x) = x^3 + 2x - 1
f(0) = 0^3 + 2(0) - 1
f(0) = -1
Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.
Repeat for x = 1
f(x) = x^3 + 2x - 1
f(1) = 1^3 + 2(1) - 1
f(1) = 2
This result is positive.
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We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.
To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515
1/3(6x-9)=7-2x
2x-3=7-2x
2x+2x-3+3=7+3-2x+2x
4x=10
X=10/4
