The correct option A: y = -4 cos Ф/4, is the cosine function for the graph.
<h3>Define the term cosine function?</h3>
The ratio between the angle's adjacent leg and the hypotenuse when it is regarded as a leg of a right triangle is a trigonometric function for an acute angle.
- One of the three fundamental trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.
- Y=cos(x) has its greatest value when x = 2nπ, wherein n is an integer.
- Y=cos(x) has a lowest value for x= π+2nπ , wherein n is an integer.
For the given graph,
cosine function: y = -4 cos Ф/4.
In which, -4 is the amplitude (maximum displacement from the x axis).
Negative sign shows, the displacement is taken along negative y-axis.
And, Ф/4 is the phase angle.
Thus, the cosine function for the graph is y = -4 cos Ф/4.
To know more about the cosine function, here
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Answer:
Option B: 3x(x - 3)(x - 5)
Step-by-step explanation:
The given polynomial is: 3x³ - 24x² + 45x
To factorize it: 3x³ - 24x² + 45x
Since, 3x is common through out we can take it out.
⇒ 3x(x² - 8x + 15)
Now we have to factorize (x² - 8x + 15)
The roots of this quadratic equation is: 5, 3.
Therefore, x² - 8x + 15 = (x - 3)(x - 5)
Combining them, the factors of the polynomial would be:
(B) 3x(x - 3)(x - 5)
Answer:
Step-by-step explanation:
Move the variables to different sides of the equation. This "substitution" metho d starts out by "solving for x" (or any other variable) in one of the ...
Okie, we find out the coefficient
5/6 s+ 4/6= 1/6 x 5s+ 1/6 x 4= 1/6(5s+4)
we have done this
Have a good day
