Which scenario best matches the linear relationship expressed in the equation y = 13.50x + 300?
2 answers:
Answer:
Option C is correct.
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
Step-by-step explanation:
Slope intercept form: An equation of line is given by: ......[1] where m is the slope and b is the y-intercept
Given the linear equation:
Here, x represents the yearbook sold.
On comparing with the equation [1] we have;
m = $13.50
b =300
therefore, the best scenario best matches the linear relationship is:
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
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Answer:
it must also have the root : - 6i
Step-by-step explanation:
If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.
This is because in order to render a polynomial with Real coefficients, the binomial factor (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:
where the imaginary unit has disappeared, making the expression real.
So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)
Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.
The midpoint, if the endpoints are (x₁,y₁) and (x₂,y₂):
The midpoint of AB is (4,3).
The midpoint of AB is (4,3).