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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The answer is B, 30 x 5 The answer is reasonable. Ryder is correct. It reasonable because if 25 x 5 is 125, then 30 x 5 won't be too much to be unreasonable. 30 x 5 is 150, therefore it is only 25 windows higher, so it is reasonable. Hope this helps! :)
Answer:
x=22
Step-by-step explanation:
<HMQ- 4x-20
<RMF-x
<HMQ+<RMF=90
4x-20+x=90
5x=110
x=22
<HMQ=68
<HMS=22
<SMP=90
<HMP=112
Hope that helps!
Answer:
ox=-7
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x
=
4
,
−
7
The answer is 451
- hope this helped-
