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.
Answer:
A
Step-by-step explanation:
The formula for this type of interest is
, where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:


Now, she invests this into a new account, and you can set up the following equation:

, or option A.
Hope this helps!
Answer:
The correct answer is:
0.01$ (c)
Step-by-step explanation:
Standard deviation is a measure of how spread out numbers are from the mean value. The formula for standard deviation is given by:

Variance is a measure of the squared differences from the mean.
Variance is simply the square of the standard deviation. It is mathematically shown as:

Now in our example,
Stabnard deviation = $0.10
Variance = (standard deviation)²
Variance = (0.10)²
Variance = $0.01
Answer:
t+12 trophies
Step-by-step explanation:
Since we cannot determine the value of t, the only thing we can do is write the expression t+12
Answer:
YOU GOT THIS!!
Step-by-step explanation: