Look at the graph below carefully
Observe the results of shifting ={2}^{x}f(x)=2x
vertically:
The domain, (−∞,∞) remains unchanged.
When the function is shifted up 3 units to ={2}^{x}+3g(x)=2x +3:
The y-intercept shifts up 3 units to (0,4).
The asymptote shifts up 3 units to y=3y=3.
The range becomes (3,∞).
When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 x −3:
The y-intercept shifts down 3 units to (0,−2).
The asymptote also shifts down 3 units to y=-3y=−3.
The range becomes (−3,∞).
Answer:
8%
Step-by-step explanation:
Tax equals the original amount times the tax rate
We can find the tax by taking the amount he paid minus the original amount
tax = 156.6 - 145
tax = 11.6
tax = original amount * tax rate
11.6 = 145 * tax rate
Divide each side by 145
11.6/145 = 145/145 * tax rate
.08 = tax rate
To change this to percent, multiply by 100%
.08*100% = 8%
X+2y=23
X=-2y +23
Plug this in for x in the second equation
5(-2y + 23) + 10y = 55
-10y + 115 + 10y = 55
The -10y + 10y cancel out, so there is no solution
Hope this helps!
