Answer:
f(x) = 0.2x
Step-by-step explanation:
hello :
let : f(x) = ax+b calculate a and b
f(x-3) =a(x-3)+b = ax+b-3a.....(*)
given : f(x-3) = 0.2x-0.6...(**)
by (*) and(**) : a= 0.2 and b-3a = - 0.6
b-3(0.2) = - 0.6
so : b=0
conclusion : f(x) = 0.2x
Answer:
-1
Step-by-step explanation:
You have to use simultaneous linear equation as there are 2 equations given
use the subtitution method as what I've shown above
Hope you can understand well
Stay safe!
Answer:
64x^12 / y^20
Step-by-step explanation:
(4x^3y^-5)^4
<em>Distribute the exponential value of 4 to all terms in the parentheses.</em>
4^4 * x^(3*4) * y^(-5*4)
<em>Multiply each exponent.</em>
64x^12 * y^-20
<em>Make the negative exponent positive by making it a fraction.</em>
64x^12 / y^20
Step-by-step explanation:
-21 - (38)
-21-38
-(21+38)
-59
Step-by-step explanation:

According to this trigonometric function, −C gives you the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL:
![\displaystyle Phase\:[Horisontal]\:Shift → \frac{\frac{π}{3}}{3} = \frac{π}{9} \\ Period → \frac{2}{3}π](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Phase%5C%3A%5BHorisontal%5D%5C%3AShift%20%E2%86%92%20%5Cfrac%7B%5Cfrac%7B%CF%80%7D%7B3%7D%7D%7B3%7D%20%3D%20%5Cfrac%7B%CF%80%7D%7B9%7D%20%5C%5C%20Period%20%E2%86%92%20%5Cfrac%7B2%7D%7B3%7D%CF%80)
Therefore we have our answer.
Extended Information on the trigonometric function
![\displaystyle Vertical\:Shift → D \\ Phase\:[Horisontal]\:Shift → \frac{C}{B} \\ Period → \frac{2}{B}π \\ Amplitude → |A|](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Vertical%5C%3AShift%20%E2%86%92%20D%20%5C%5C%20Phase%5C%3A%5BHorisontal%5D%5C%3AShift%20%E2%86%92%20%5Cfrac%7BC%7D%7BB%7D%20%5C%5C%20Period%20%E2%86%92%20%5Cfrac%7B2%7D%7BB%7D%CF%80%20%5C%5C%20Amplitude%20%E2%86%92%20%7CA%7C)
NOTE: Sometimes, your vertical shift might tell you to shift your graph below or above the <em>midline</em> where the amplitude is.
I am joyous to assist you anytime.