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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I don't know if this is the equation you need. But here it is.
Y - 4 = -2 (x + 1)
The journey is broken down into five segment
Shop - first delivery =
miles
First delivery - second delivery =
Second delivery - third delivery =
Third delivery - fourth delivery =
Fourth delivery - shop =
The average distance for each segment are:
![[12 \frac{1}{3}+8 \frac{3}{4}+17 \frac{2}{8}+23 \frac{2}{3}+10 \frac{5}{10} ]](https://tex.z-dn.net/?f=%5B12%20%5Cfrac%7B1%7D%7B3%7D%2B8%20%5Cfrac%7B3%7D%7B4%7D%2B17%20%5Cfrac%7B2%7D%7B8%7D%2B23%20%5Cfrac%7B2%7D%7B3%7D%2B10%20%5Cfrac%7B5%7D%7B10%7D%20%5D%20%20%20%20)
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÷5 =
Assume the mattress have no width, only length.
By Pythagoras' Theorem, √(72^2 + 80^2) = 107.6 inches.
Answer:
100/729
Step-by-step explanation:
The basket contains 9 fruits: 4 apples and 5 peaches. Thus the probability of choosing one fruit can easily be determined.
P(Apple is selected) = number of apples / number of fruits= 4/9.
P(Peach is selected) = number of peaches / number of fruits= 5/9.
If the replacement is allowed, then the probabilities will remain unchanged for all the fruits. Therefore, the probability of selecting an apple in the any attempt is 4/9 and the probability of selecting a peach in any attempt is 5/9. Assuming that the selection of the fruits is independent, we can safely multiply the probabilities. Therefore, 4/9 * 5/9 * 5/9 = 100/729.
Therefore, the correct answer is 100/729!!!
