Answer:
(a) There are two complex roots
Step-by-step explanation:
The discriminant of a quadratic function describes the nature of its roots:
- <u>negative</u>: two complex roots
- <u>zero</u>: one real root (multiplicity 2)
- <u>positive</u>: two distinct real roots.
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Your discriminant of -8 is <em>negative</em>, so it indicates ...
There are two complex roots
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<em>Additional comment</em>
We generally study polynomials with <em>real coefficients</em>. These will never have an odd number of complex roots. Their complex roots always come in conjugate pairs.
If clearer picture i may help for it is far to dark and clouded to read
(f/g)(x) = f(x)/g(x)
So the answer is C
I hope it will help
- A function that models the data is given by this quadratic equation, y = -0.4908x² + 5.8845x + 1.3572.
- The number of students that are absent 10 days after the outbreak is equal to 11 students.
<h3>What is a scatter plot?</h3>
A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.
<h3>What is a quadratic function?</h3>
A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the quadratic function is given by:
y = -0.4908x² + 5.8845x + 1.3572
For the number of students that are absent 10 days after the outbreak, we have:
y = -0.4908(10)² + 5.8845(10) + 1.3572
y = -0.4908(100) + 58.845 + 1.3572
y = -49.08 + 58.845 + 1.3572
Number of students, y = 11.12 ≈ 11 students.
Read more on scatterplot here: brainly.com/question/6592115
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