Answer: 
Step-by-step explanation:
It is important to remember that:
- Integers contains the positive numbers (+), negative numbers (-) and zero.
- The numbers greater than zero are Positive Integers.
- The numbers less than zero are Negative integers.
- An integer and its opposite have the same distance from zero, but they are located on opposite sides of the number line.
In this case we know that 
is a Positive Integer, therefore, based on the information mentioned before, we can say that its negative (or its opposite) is:
Answer:
Jenna is correct.
Step-by-step explanation:
I will assume that is what you meant.
Jenna is correct .
The square root of 4 ( = 2) is rational but,
for example, 2 is a rational number but the square root of 2 is irrational. Try finding the square root of 2 on your calculator. Your answer will be something like 1.414213562 but that decimal fraction goes on without bounds. No calculator will ever have enough memory to store that number!!
Answer:
f(x) and g(x) have the same x-intercepts (is <em>not true</em>)
Step-by-step explanation:
g(x) is a reflection across the y-axis and a horizontal compression of f(x). In general those transformations will move the x-intercepts. (The y-intercept and the number of x-intercepts will remain unchanged.)
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<em>Comment on the question/answer</em>
f(x) = x^3 is a 3rd degree polynomial. When transformed to g(x) = -8x^2, its only x-intercept (x=0) remains the same. The answer above will not apply in any instance where the only x-intercept is on the line of reflection. (The question is flawed in that it does not make any exception for such functions.)
Answer:
t = -1.428
Step-by-step explanation:
Average blood pressure among people with high responsibility jobs = u = 140 mm
Number of people sampled for the study = n = 51
Average blood pressure of the sample = x = 139 mm
Standard deviation of the sample = s = 5 mm
The claim is that practicing yoga decreases the blood pressure. So we have to test that after practicing yoga, the average blood pressure will be lesser than 140. Based on this we can formulate the null and alternate hypothesis as:
Null Hypothesis: 
Alternate Hypothesis: 
Since population standard deviation is not known, we cannot use z-distribution for this test. We are given the value of sample standard deviation, so t-test will be used for this case.
Test statistic is calculated as:
Using the values in this formula gives us:
Therefore, the value of test statistic is -1.428
Answer:
Always
Step-by-step explanation:
8 - 9 = -1
1/3 - 1/6 = 1/6 are 2 examples
