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:
too
Step-by-step explanation:
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Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27
Volume of cube = 1/6 x 1/6 x 1/6 = 1/216
<span>Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
Therefore the answer is the third choice or letter C.
I hope my answer has come to your help. God bless and have a nice day ahead!
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Step-by-step explanation:
2/5+2/4 (find common denominator)
The common denominator is 20
2/5 is 8/20 (multiply by 4)
2/4 is 10/20 (multiply by 5)
8/20+10/20 is 18/20
If you simplify 18/20 this would by 9/10 if you divide by 2
so the total is 18/20 or 9/10 simplified
Hope this helps!!!!
Have a nice day :)
Given:
Cory made 21 of the 60 baskets she attempted.
Krista made 16 out of 40 baskets she attempted.
Paul made 17 of the 50 baskets she attempted.
Sally 11 of the 55 she attempted.
To find:
Who had the greatest percentages of baskets made?
Solution:
We know that,
Using this formula, we get
From the above percentages 40% is maximum.
Therefore, Krista has greatest percentage of baskets made.
