Answer:
Maximum: 1, Minimum: -3, Midline y = -1, Amplitude = 4, Period = 
, Frequency 
, equation : 
Step-by-step explanation:
<u>Sinusoid Functions</u>
It refers to the oscillating functions like the sine or cosine which range from a minimum and maximum value periodically.
The graph shown can give us all the information we need to answer these questions:
Maximum: 1
Minimum: -3
The midline goes through the center value (mean) of the max and min values, i.e.
Equation of the midline:
Amplitude is the difference between the maximum and minimum values
The period is the time it takes to complete a cycle. We can see the minimum value is first reached at x=0 and next at 
Thus the period is
The frequency is the reciprocal of the period:
The angular frequency is
The equation of the function is a negative cosine (since it starts at the minimum) or a shifted sine or cosine. We'll choose the negative cosine, knowing all the parameters:
Answer:
see explanation
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y + 6 = 
(x - 4)
Multiply through by 2 to eliminate the fraction
2y + 12 = 3(x - 4) ← distribute
2y + 12 = 3x - 12 ( subtract 2y from both sides )
12 = 3x - 2y - 12 ( add 12 to both sides )
24 = 3x - 2y, that is
3x - 2y = 24 ← in standard form
42•48=2,016. Hope this helped!
10 small boxes and 11 large boxes were shipped.
Step-by-step explanation:
Given,
Total boxes shipped = 21
Total volume of shipped boxes = 342 cubic feet
Volume of each small box = 10 cubic feet
Volume of each large box = 22 cubic feet
Let,
Number of small boxes = x
Number of large boxes = y
According to given statement;
x+y=21 Eqn 1
10x+22y=342 Eqn 2
Multiplying Eqn 1 by 10
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 12
Putting y=11 in Eqn 1
10 small boxes and 11 large boxes were shipped.
Keywords: linear equation, subtraction
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First of all i think theres a mistakein the question;
i think it is sin θ =
and then sin 30° =
thus θ= 30°
