If x is time and W(x) is the change in water level at a certain time, then W(x) = 0 indicates when the water level does not change. In other words, the change in water level is 0.
This occurs exactly at the x intercepts as the x-intercepts are points of the form (x,0) where x is some number and the y coordinate is always 0. These special points are also known as roots. The roots or x intercepts are places where the curve crosses the x axis. The handy thing about roots is that they are visually easy to find, and relatively easy to comprehend no matter what math level you deal with. This is why many people of different backgrounds can understand what is going on even if they haven't taken a formal math course (in a while). So if you're giving a presentation, you can simply point to where the roots are and the managers would most likely understand.
In terms of algebra, it depends on the complexity of the polynomial. For cubics and higher, you'll most likely need a graphing calculator or special software to get the approximate solution. Factoring and using the rational root theorem is a bad idea as it would take a while. It might not even be possible if the roots aren't whole numbers. Thankfully software makes the process relatively painless.
Answer:
85 square units
Step-by-step explanation:
The area of a kite is half of the product of the diagonals.
The left half of the horizontal diagonal is labeled 5, so the entire horizontal diagonal measures 10.
Now we need to find the length of the vertical diagonal.
The vertical diagonal is made up of two segments. Each segment is a leg in a right triangle. We can use the Pythagorean theorem twice to find the lengths of the two segments of the vertical diagonal.
Upper vertical segment:
a^2 + b^2 = c^2
5^2 + x^2 = [5sqrt(2)]^2
25 + x^2 = 50
x^2 = 25
x = 5
The upper segment of the vertical diagonal has length 5.
Lower vertical segment:
a^2 + b^2 = c^2
5^2 + x^2 = 13^2
25 + x^2 = 169
x^2 = 144
x = 12
The lower segment of the vertical diagonal has length 12.
The length of the vertical diagonal is the sum of the lengths of the two vertical segments:
5 + 12 = 17
The diagonals of the kite measure 1`0 and 17.
area = d1 * d2/2
area = 10 * 17/2 = 170/2 = 85
Answer:
13
Step-by-step explanation:
hope i helped
Answer:
(2a-5)² is the final solution
Step-by-step explanation:
4a²-20a+25
= (2a)² - 2 × 2a × 5 + 5²
= (2a-5)²
Answer:
a
b
c
Step-by-step explanation:
From the question we are told that
The rate is = 0.5 / hr
Generally Poisson distribution formula is mathematically represented as
Generally the probability that no error occurred during a day is mathematically represented as
Here t = 1 hour according to question a
So
Hence
=>
Generally the probability that a critical error occurs since the start of a day is mathematically represented as
Here t = 1 hour according to question a
So
Hence
Here
=>
Considering question c
Here t = 2
Gnerally given that the system just started up and an error occurred the probability the next reset will occur within 2 hours
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