The sampling method used to examine a population when the auditor wants to estimate a continuous amount (or value) of the popula
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The linear equation in standard form is:
6x - 7y = -11
Which is the last option.
<h3>How to get the equation of the line?</h3>
The line in slope-intercept form is written as:
y = a*x + b
We can see that the line passes through the points (-3, -1) and (1/2, 2), then the slope is:
Then we can write:
y = (6/7)*x + b
To find the value of b, we use the first point. It means that when x = -3, the value of y is -1, then we get:
-1 = (6/7)*-3 + b
-1 + 18/7 = b
-7/7 + 18/7 = b
11/7 = b
Then the equation is:
y = (6/7)*x + 11/7
If we multiply both sides by 7 we get:
7y = 6x + 11
Now we move the term with "x" to the left:
7y - 6x = 11
That is the line in standard form.
If we multiply both sides by -1, we get the last option:
6x - 7y = -11
If you want to learn more about linear equations:
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Answer:
i) D: All real numbers
ii) R:
iii) Y-int: b=2
Step-by-step explanation:
i) The given absolute value function is
The domain is all values of x that makes the function defined.
The absolute value function is defined for all values of x.
The domain is all real numbers.
ii) The given function is
The function has vertex .
The function is reflected in the x-axis.
This means the vertex is the maximum point on the graph of the function.
The maximum y-value is 5.
The range is therefore or
iii) To find the y-intercept, put into the function.
The y-intercept is (0,2) or
See attachment for graph.
