Answer:
C
Step-by-step explanation:
Distribute x^2 to 2x and 5, you’ll get 2x^3+5x^2.
The distribute 3 to 2x and 5, you’ll get 6x+15.
You’ll get what the question is asking for.
Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.
<u>Given the following data:</u>
<h3>How to determine the y-intercept of this function?</h3>
Mathematically, a sine function is modeled by this equation:
y = Asin(ωt + ø)
<u>Where:</u>
- A represents the amplitude.
- ω represents angular velocity.
- ø represents the phase shift.
Also, the period of a sine wave is given by:
t = 2π/ω
2 = 2π/ω
ω = 2
Substituting the given parameters into the equation, we have;
y = 3sin(2t + π/2)
At t = 0, we have:
y = 3sin(2(0) + π/2)
y = 3sin(π/2)
y = 3sin(90)
y = 3 × 1
y = 3.
In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.
Read more on phase shift here: brainly.com/question/27692212
#SPJ1
Answer:
Given the equation of line : 3x -2y = -18
Table values:
x y
0 9
2 12
4 15
6 18
-6 0
Now, plot these points (0,9), (2, 12), (4, 15) , (6, 18) and (-6, 0) on the co-ordinate planer, to graph the the line.
You can see the graph of the given equation as shown below.
