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:
X= -25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
⓵ The pythagorean theorem is calculated by using this formula : a² + b² = c²
“a” is the length of one of the legs
“b” is the length of the other leg
“c” is the length of the hypotenuse
⓶ Now that you have the formula, replace the letters in the formula with the information that you have :
8² + b² = 10²
⓷ Now that this is done, you need to isolate the “b²” in order to find the length of the other leg of the triangle :
8² + b² = 10²
-8² -8²
↓
b² = 36
√b² √36
↓
b = 6
So the final answer is : the length of the other leg of the triangle is ↠ 6 feet
I really hope this helped, if there’s anything just let me know! ☻
Answer:
There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.
Also, a probability is unusual if it is lesser than 5%. If it is unusual, it is surprising.
In this problem:
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes, so 
.
We need to find the probability that it takes less than one minute to find a parking space.
So we need to find the pvalue of Z when 
has a pvalue of 0.0228.
There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.
Answer:
n = -9.5
Step-by-step explanation:
6n + 15 = -42
6n = -57
n = -9.5
