The equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
<h3>The sinusoidal function</h3>
The minimum and the maximum of the function are
The amplitude (A) is calculated as:
A = 0.5 * (Maximum - Minimum)
So, we have:
A = 0.5 * (-5 + 1)
A = -2
The vertical shift (d) is calculated as:
d = 0.5 * (Maximum + Minimum)
So, we have:
d = 0.5 * (-5 - 1)
d = -3
The period (P) is calculated as:
P = 2π/B
From the graph,
B = 1
So, we have:
P = 2π/1
P = 2π
So, the amplitude is -2 and the period is 2π.
<h3>The equation of the sine function</h3>
In (a), we have:
A = -2
B = 1
d = -3
A sine function is represented as:
y = A sin(Bx + C) + D
So, we have:
y = -2sin(x + C) - 3
The graph passes through the point (0, -5)
So, we have
-5 = -2sin(0 + C) - 3
Solve for C, we have
C = 1.5
So, we have:
y = -2sin(x + 1.5) - 3
Hence, the equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
Read more about sinusoidal function at
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So for eliminating, you only solve for one variable first.
I solved for y, so I multiplied by -4 to eliminate the x.
Then I got y= -1
I then substituted that to one of the equations to get x.
Answer:
a) 8 apples
b) 5 oranges
c) 2 oranges and 6 apples
Step-by-step explanation:
a) 8 apples × 1$ = 8$ < 10$
b) 5 oranges × 2$ = 10$
c) 2 oranges × 2$ = 4$
6 apples × 1$ = 6$ (4+6=10)
Answer:
The answer is D or Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle T"U"V" . I just took the test and I hope I helped : )
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
-3 and 3 are opposites but 5 (y), is the same
