Isn't it 56.12 - 9.85?
If so,
Answer:
48.27 dollars.
Hope this helps!
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The function that represents how much more water can be added to the bucket before it overflows is given as follows:
c(x) = 6x³ + 3x² - 2x - 2.
<h3>How to define the function?</h3>
The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.
The functions in this problem are defined as follows:
- f(x) = 8x³ + 4x² - 6x + 5.
- g(x) = 2x³ + x² - 4x + 7.
Then the capacity function is obtained as follows:
c(x) = f(x) - g(x)
c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)
Then the distributive property is applied to the negative sign as follows:
c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.
Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:
c(x) = 6x³ + 3x² - 2x - 2.
More can be learned about operations with functions at brainly.com/question/2723982
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Scores that are greater than 31 are significantly high.
Scores that are less than 11.4 are significantly low.
The test scores between 11.4 and 31 are not significantly low or significantly high.
<h3>How to Identify significance values?</h3>
We are given;
Standard deviation; s = 4.9
From the complete question, we are told to consider a value to be significantly low if its z score less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.
Thus;
2s = 2 * 4.9 = 9.8
Scores that are greater than 21.2 + 9.8 = 31 are significantly high.
Scores that are less than 21.2 - 9.8 = 11.4 are significantly low.
Thus, the test scores between 11.4 and 31 are not significantly low or significantly high.
Read more about significance values at; brainly.com/question/4621112
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It is given in the question that
If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°, find the measure of the fifth angle.
First we have to find the sum of measurement of all the angles of a convex pentagon, by using the formula

Where n is the number of sides. And for polygon, it is 5 .SO the sum of measurement of angles of a polygon is

Let the measurement of missing angle be x .
So we have



Answer:
C.) f(x) = −4x + 200
Step-by-step explanation:
Since the number is decreasing, you know the slope will be negative, eliminating the first two choices. The equation in the last choice does not match the given data, so it can be eliminated.
In other words, the easiest way to solve this problem is to check the answers against the given data.
_____
If you want to write the equation from scratch, you need to find the slope. That is ...
(change in number of cars)/(change in weeks) = (184 -192)/(4 -2) = -8/2 = -4
This matches only one answer, but you can go on to finish the equation by starting with point-slope form:
y -192 = -4(x -2)
y = -4x +8 +192 . . . . add 192, eliminate parentheses
y = -4x + 200 . . . . matches choice C.)