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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Answer:
Undefined
Step-by-step explanation:
m = (5 - 2) / (-4-(-4))
m= 3/0, so the slope is undefined
+ 15 because you solve negative inside but when you get it out it becomes positive
3/6 because it is equivalent to 1/2?
we don't know because it doesn't show the diagram
Answer:
Option (4)
Step-by-step explanation:
D = {x| x is a whole number}
D = {1, 2, 3, 4..........}
E = {x | x is a perfect square between 1 and 9}
E = {4}
F = {x | x is an even number greater than 2 and less than 9}
F = {2, 4, 6, 8}
(E ∩ F) = Set of common numbers of E and F
= {4}
D ∩ (E ∩ F} = Set of common numbers in the sets of D and (E ∩ F)
= {4}
Therefore, Option (4) will be the answer.
