Answer:
Step-by-step explanation:
we know that
The <u><em>Midpoint Theorem</em></u> says that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side
so
in this problem
Applying the midpoint theorem
Expression: f(x) = [x - 4] / [x^2 + 13x + 36].
The vertical asympotes is f(a) when the denominator of f(x) is zero and at least one side limit when you approach to a is infinite or negative infinite.
The we have to factor the polynomial in the denominator to identify the roots and the limit of the function when x approachs to the roots.
x^2 + 13x + 36 = (x + 9)(x +4) => roots are x = -9 and x = -4
Now you can write the expresion as: f(x) = [x - 4] / [ (x +4)(x+9) ]
Find the limits when x approachs to each root.
Limit of f(x) when x approachs to - 4 by the right is negative infinite and limit when x approach - 4 by the left is infinite, then x = - 4 is a vertical asymptote.
Limit of f(x) when x approachs to - 9 by the left is negative infinite and limit when x approach - 9 by the right is infinite, then x = - 9 is a vertical asymptote.
Answer: x = -9 and x = -4 are the two asymptotes.
'' In math, a geometric series is a series with a constant ratio between successive terms.
The probability that exactly 1 doesn't grow will be 0.07
<h3> What is Probability?</h3>
It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We can use Bernoulli estimation to solve this. P(g) = 0.85, probability of not growing into healthy plant P(n) = 1-P(g) = 1 - 0.85 = 0.15
Using the Bernoulli approximation:
P(n=1)=⁹C₁xP(n)¹.⁵xP(g)⁸.⁵
P(n=1)=9x0.15¹.⁵x0.8⁸.⁵
P(n=1)=0.07
Hence the probability that exactly 1 doesn't grow will be 0.07
Learn more about the probability here:
brainly.com/question/11234923
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Answer:
You would do 2.75*S (for the stops) then you divide your product by 21 (for the $21) and then you add 5 to the quotient. After you add it’s your answer.
Hope this helps!!!
