Answer:$15,679
Step-by-step explanation:
Mean is calculated as total sum of the amount divided by number of the amount.
From the given question, we add the amount together and divide by six:
Mean = $17,485 + $14,978+ $13,592 +$14,500 + $18,540 +$14,978/6
=$94,073/6
=$15,678.8
To the nearest dollar will be $15,679 since 0.8 is greater than 0.5, we round up.
I hope this helps.
3x+22.5 = 69.75
-22.5 -22.5
3x = 47.25
/3 /3
x = 15.75
The price of each shirt before tax is $15.75
The given polynomial function has 1 relative minimum and 1 relative maximum.
<h3>What are the relative minimum and relative maximum?</h3>
- The relative minimum is the point on the graph where the y-coordinate has the minimum value.
- The relative maximum is the point on the graph where the y-coordinate has the maximum value.
- To determine the maximum and the minimum values of a function, the given function is derivated(since the maximum or minimum is obtained at slope = 0)
<h3>Calculation:</h3>
The given function is
f(x) = 2x³ - 2x² + 1
derivating the above function,
f'(x) = 6x² - 4x
At slope = 0, f'(x) = 0 (for maximum and minimum values)
⇒ 6x² - 4x = 0
⇒ 2x(3x - 2) = 0
2x = 0 or 3x - 2 = 0
∴ x = 0 or x = 2/3
Then the y-coordinates are calculated by substituting these x values in the given function,
when x = 0;
f(0) = 2(0)³ - 2(0)² + 1 = 1
So, the point is (0, 1)
when x = 2/3;
f(2/3) = 2(2/3)³ - 2(2/3)² + 1 = 19/27
So, the point is (2/3, 19/27)
Since y = 1 is the largest value, the point (0, 1) is the relative maximum for the given function.
So, y = 19/27 is the smallest value, the point (2/3, 19/27) is the relative minimum for the given function.
Thus, option A is correct.
Learn more about the relative minimum and maximum here:
brainly.com/question/9839310
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Answer: <u> 15 DVDs</u>
Step-by-step explanation:
C = 2D + 11
41 = 2D + 11
2D = 30
D = 15 DVDs
Answer:

Step-by-step explanation:
The equation of a linear function in a slope-intercept form is written as

where
m is the slope of the line
q is the y-intercept
We proceed as follows. First of all, we find the y-intercept, which is the value of y at which the line touches the y-axis.
From the graph, we see that this occurs at y = 4, therefore the y-intercept is

Now we have to find the slope. We do that by choosing two points along the line, with coordinates
and
and by using the equation

Here we take the two points:
(0,4)
(-8,0)
So the slope is

Therefore, the equation of the line is
