Solve the system of equations. y = 2x y = x 2 – 15
2 answers:
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Answer:
Degree of the function = 5
y-intercept = (0, 12)
Step-by-step explanation:
Degree of a polynomial function is determined by the degree of the term having highest degree.
In the given function,
f(x) = -(x + 1)²(2x - 3)(x + 2)²
(x + 1)² → highest degree term = x²
(2x - 3) → highest degree term = x
(x + 2)² → highest degree term = x²
When we multiply these terms,
(x + 1)²(2x - 3)(x + 2)² highest degree term of the function will be,
Therefore, degree of the function = 5
For y-intercept,
f(0) = -(0 + 1)²(0 - 3)(0 + 2)² = 12
Therefore, y-intercept of the function is (0, 12)
Answer:
tanx·secx
Step-by-step explanation:
To simply this, you can begin by factoring sin x out of the numerator to become:
Now, using Pythagorean Trig Identities, we know that sin²x+cos²x equals 1. We can substitute this to make the equation become:
First of all, we can convert to tanx. However, we have a remaining
which, using reciprocal identities, will become sec x.
Finally, we get our answer as tanx·secx.