Answer:x = (5 + 3/7) - (2 + 1/5)*x
112x = 190
x = 95
56
≈ 1.696429
Answer:
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Step-by-step explanation:
Answer:
Discounted price = $495 Discount Rate = 34% Solution: Let x = Original Price x = 495 + 0.35x ;Multiply whole equation by 100 to remove decimals. 100x = 49500 + 35x ;Transpose 35x to the left side of the equation. 100x-35x = 49500 ; Subtract the x terms. 65x = 49500 ; Divide both sides by 65. x = 761.54 So the original price is $761.54.
Answer:
![y=-2\sin2x](https://tex.z-dn.net/?f=y%3D-2%5Csin2x)
Where ![0\le x\le \pi](https://tex.z-dn.net/?f=0%5Cle%20x%5Cle%20%5Cpi)
Step-by-step explanation:
To find:
The equation of the given graph in the question area.
Solution:
By looking at the graph, we can clearly see that the graph is either sine curve or cosine curve.
We know that sine curve starts at 0.
Therefore, the given curve is sine curve.
Let us have a look at the different values of a sine curve at various angles.
![sin\theta = 0 \Rightarrow \theta =0, \pi\\sin\theta = 1 \Rightarrow \theta =\dfrac{\pi}{2}\\](https://tex.z-dn.net/?f=sin%5Ctheta%20%3D%200%20%5CRightarrow%20%5Ctheta%20%3D0%2C%20%5Cpi%5C%5Csin%5Ctheta%20%3D%201%20%5CRightarrow%20%5Ctheta%20%3D%5Cdfrac%7B%5Cpi%7D%7B2%7D%5C%5C)
Also, ![-1\le \sin\theta \le 1](https://tex.z-dn.net/?f=-1%5Cle%20%5Csin%5Ctheta%20%5Cle%201)
Here, we have
at
, it means that angle is in the form of
.
Now, let us have a look at the curve is decreasing or increasing.
It is decreasing after the angle 0, therefore the function has a negative sign.
So, it can be written as:
![y = -Asin2x](https://tex.z-dn.net/?f=y%20%3D%20-Asin2x)
Now, let us have a look at the maximum and minimum values so as to find the value of ![A](https://tex.z-dn.net/?f=A)
Here, we can clearly see that minimum value is -2 and maximum value is 2.
Therefore, the value of
is 2.
So, the equation is:
![y=-2\sin2x](https://tex.z-dn.net/?f=y%3D-2%5Csin2x)
Where ![0\le x\le \pi](https://tex.z-dn.net/?f=0%5Cle%20x%5Cle%20%5Cpi)
To simplify this ration we need to divide each member of ration with same number.
We can start with 2.
18/2: 30/2 : 72/2 or
9:15:36
Now we can divide by 3 because 15 isn't divisible by 2.
we get:
3:5:12
This ration cannot be simplified further.