Answer:
$52.60
Step-by-step explanation:
Start with 135.10 and subtract the withdrawls (60, 45)
135.10-60-45 = 30.10
Add the deposit 22.50
30.10 + 22.50 = 52.60
To make this situation easier to understand, you must simplify these fractions. 3/6 is equal to 0.5
6/6 is equal to 1
4/6 is equal to 0.3333 repeating.
With this info we can tell that Gina's sailboat went to longest distant in the fifteen minutes.
Hope this helps! :)
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:
This has one real solution, x=4
Step-by-step explanation:
8 - 4x = 0
Add 4x to each side
8 - 4x+4x = 0+4x
8 =4x
Divide each side by 4
8/4 = 4x/4
2 =x
This has one real solution, x=4
Answer:
120 units^2
Step-by-step explanation:
(12)(5)(0.5)(2) + (12)(2) + (13)(2) + (5)(2) = 120 units^2