Answer: Choice B) (2,0)
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Set the first piece equal to zero and solve for x
x^2 - 4 = 0
x^2 = 4
x = sqrt(4) or x = -sqrt(4)
x = 2 or x = -2
Keep in mind that the first piece y = x^2-4 is only graphed when x = 2 or larger, so we ignore x = -2. This is one x intercept, but there may be more. Let's check the other graph to see what we get.
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Set the second piece equal to zero and solve for x
x-2 = 0
x-2+2 = 0+2
x = 2
We get the same result as above in the prior section. Because of this, the two pieces connect at this junction point.
The x intercept x = 2 leads to the location (2,0). The x intercept always occurs when y = 0.
The graph below shows this.
side note: the red piece y = x^2 - 4 looks linear, but it's actually not a straight line. It's just a really stretched out curve.
We know that a triangle has three sides, all the same length (its equilateral, after all)
The equation to find the length of each side is
Perimeter divided by 3
or in this case
48.6 divided by 3=16.2cm (don't forget the unit)
Hope that helps :)
Hi!
1. -25
2. 22
3. 0
4. -34.5
hope this helps!
Sure, depending on how the machine is constructed or programmed.
A function can represent any process that takes some input and assigns exactly one output to it. In the case of a simple vending machine, there could one button or sequence of button presses that correspond to the delivery of a certain drink or snack (provided that enough money is fed into the machine first).
A machine that wouldn't qualify as representing a function would be one that consistently offers two or more different drinks.