F(x)=2x(x-3)/(x+4)(x+3), Creation of the hole: have 3 as a solution for both numerator and denomenator
Formation of a vertical asymptote at -4: have the denominator equal to zero when plugging in -4 such that the denominator equals to zero,
horizontal asymptote: have the highest degree of numerator and denominator equal and the quotient of their coefficient equal to 2(ever wonder why there is an "x" in the numerator? It is to set the highest degree of the numerator and denominator equal to each other.
If you need more explanations, ask, glad to help.
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:
b
Step-by-step explanation:
gjhghjghj
Answer:
B StartRoot 3 EndRoot
Step-by-step explanation:
Edge 2020
Answer:
x = 70
Step-by-step explanation:
The total interior angle in a square, even with not a perfect square, adds to 360
Set your formula up as
360 = (x+15) + x + 115 + 90
360 - 115 - 90 - 15 = 2x
140 = 2x
140/2 = x
70 = x
