Answer:
When we have a quadratic equation:
a*x^2 + b*x + c = 0
There is something called the determinant, and this is:
D = b^2 - 4*a*c
If D < 0, then the we will have complex solutions.
In our case, we have
5*x^2 - 10*x + c = 0
Then the determinant is:
D = (-10)^2 - 4*5*c = 100 - 4*5*c
And we want this to be smaller than zero, then let's find the value of c such that the determinant is exactly zero:
D = 0 = 100 - 4*5*c
4*5*c = 100
20*c = 100
c = 100/20 = 5
As c is multiplicating the negative term in the equation, if c increases, then we will have that D < 0.
This means that c must be larger than 5 if we want to have complex solutions,
c > 5.
I can not represent this in your number line, but this would be represented with a white dot in the five, that extends infinitely to the right, something like the image below:
How to write an equivalent expression for n time a using o
The difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet
<h3>What is the difference in elevation between the bottom of the canyon and the bird's nest?</h3>
The given parameters are:
Nest = 71 4/5 feet above the seal level
Bottom of canyon = 875 7/10 below sea level
Below sea level means negative
So, we have:
Nest = 71 4/5 feet
Bottom of canyon = -875 7/10
The difference in elevation between the bottom of the canyon and the bird's nest is calculated as
Difference = |Nest - Bottom of canyon|
This gives
Difference = |71 4/5 - (-875 7/10)|
Evaluate the difference
Difference = |947 1/2|
Remove the absolute bracket
Difference = 947 1/2
Hence, the difference in elevation between the bottom of the canyon and the bird's nest is 947 1/2 feet
Read more about depth at:
brainly.com/question/17147411
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Answer:
4% change
Step-by-step explanation:
