Answer:
g(x) = 4/5 x² - 4
Step-by-step explanation:
∵ f(x) = 2/5 x² - 2
∵ f(x) stretched vertically by scale factor 2
∴ g(x) = 2[f(x)]
∴ g(x) = 2[2/5 x² - 2] = 4/5 x² - 4
Answer:
<h2>
The standard error of the mean is 7.56</h2>
Step-by-step explanation:
The standard error of the mean is defined as the ratio of standard deviation to the square root of the sample size of a data. The standard error of the mean is mathematically expressed as shown below;

X is the standard error of the mean
is the standard deviation
n is the sample size.
Given;

On substitution into the formula we have;


X ≈ 7.56
The graph of a rational function differs from that of other functions with the existence of asymptotes
<h3>Graph of rational functions</h3>
The properties of the graph of a rational function include;
- The graph of a rational function never crosses its vertical asymptote
- It crosses its horizontal or slant asymptote
- The graph of the reciprocal function y = 1/x or y = k/x is a rectangular (or right) hyperbola of which asymptotes are the coordinate axes
The graph of a rational function differs from that of other functions with the existence of asymptotes.
Learn more about rational functions here:
brainly.com/question/1851758
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Answer:
4 students
Step-by-step explanation:
The total number of students is given by:

Where N is the total number of students, A is the number of students that have taken Math 2A, B is the number of students that have taken Math 2B, and C is the number of students that have taken Math 2C:

4 students in Group A have taken all three classes.
*The number of students that have taken two classes has be subtracted so those students do not get counted twice
Answer:
138
Step-by-step explanation:
x is an exterior angle of a triangle.
If you didn't know, an exterior angle of a triangle is equal to the sum of its opposite interior angles.
The opposite interior angles of x have measures of 80 degrees and 58 degrees.
Hence, x = 80 + 58 = 138