<h2>
Answer:</h2>
Shown below
<h2>
Step-by-step explanation:</h2>
First of all, we need to plot the equation:
The graph of this equation is a parabola. The vertex of this parabola lies on the point (0, 1) and the x-intecepts are the points (-1, 0) and (1, 0). But the problem asks for the graph of<em> y greater than or equal to -x^2 + 1, </em>that is, the inequality:
To find this, we choose a point on the Cartesian plane, say, (0, 0) and let's take a look to the inequality:
So the region does't contain point (0, 0), therefore the graph is the one shown below.
Answer:
0.9113
Step-by-step explanation:
Given :
Sample standard deviation of Stock X = 4.665
Sample standard deviation of Stock Y = 8.427
Sample Covariance = 35.826
The Correlation Coefficient, R is related to sample covariance and standard deviation using the formular :
R = Covariance(X, Y) / (SD(X) * (SD(Y))
R = 35.826 / (4.665 * 8.427)
R = 35.826 / 39.311955
R = 0.9113
Hence, correlation Coefficient, R = 0.9113 which depicts a strong positive relationship.
The value of f(g(2)) is 2.
<h3>What is function?</h3>
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The given table is
x f(x)
–6 1
–3 2
2 5
5 3
8 0
If the coordinates of a function f(x) is defined as (x,y)
then, the coordinates of inverse of f(x) is defined as (y,x).
f(g(y))= f(x) [ g(x)= (y,x)]
f(g(y))= y
So, If g(x) is the inverse of f(x), the f(g(y)) = y.
Also, we know g(x) is the inverse of f(x), then f(g(2)) = 2.
Learn more about this concept here:
brainly.com/question/2788962
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Answer:
10 times the value
Step-by-step explanation:
