I think it would be (x+7)/7
We have been that frequency (y) varies inversely with wavelength (x).
We know that two inversely proportional quantities are in form
, where a is inversely proportional to b and k is constant of variation.
Our required equation would be
.
To find frequency of blue light, we will substitute
and
in our equation as:


Therefore, the frequency of blue light is 764.
Expand 8(5-r)/5=-2r as indicated: 40 - 8r
----------- = - 2r
5
Multiply both sides by 5, obtaining 40 - 8r = - 10r
Combine like terms: 40 = - 2r
Divide both sides by -2: -20 = r
The solution to 8(5-r)/5=-2r is -20. Verify this by subbing -20 for r in the given equation.
Answer:
y = (-3f(x+4))+5
Step-by-step explanation:
Please see the picture below.
1. Apply to the function the vertical stretch with scale factor 3:
y = 3f(x)
2. Multiply the function by -1 to reflect it over the x-axis:
y = -3f(x)
3. Add up 4 units from x to translate the function 4 units to the left:
y = -3f(x+4)
4. Add up 5 units to the entire function to translate it up 5 units:
y = (-3f(x+4))+5