Answer:
The inverse is 1/2x +3
Step-by-step explanation:
f(x) = 2x-6
y = 2x-6
Exchange x and y
x =2y-6
Solve for y
x+6 =2y
Divide by 2
1/2x +3 = y
The inverse is 1/2x +3
So here, you just put in the value inside the parenthesis of the function into the actual function itself.
Here, for h(f(2)), the first one to put in is the one in f, which is 2.
Since f(x) = 3*2^x, and since x here is equal to 2, (because h(f(2)), we can just put in the 2 in place of the x.
3 * 2 ^ 2
And then you get:
3 * 4
Or 12.
So now you have
h(12)
Now do the same thing.
2 * 12 - 7
24 - 7
17
Answer: -7.408%
Explanation: The formula for percent error is:
(experimental - theoretical) / theoretical * 100. The experimental value is 50, or your guess. The theoretical value is 54, or the actual value. The theoretical value is the value it should be.
(50-54)/54 = -.074 * 100 = -7.408%
Number of pennies:P
Number of nickels:N
Number of dollar bills:D
P=N+12
N=D+5
1P+5N+100D=996
^given
Therefore
P=(D+5)+12
P=D+17
Plug back into main equation
(D+17)+5(D+5)+100D=996
Combine like terms
106D+42=996
106D=954
D=954/106=9
9 Dollar bills
N=D+5
N=(9)+5=14
14 Nickels
P=N+12
P=(14)+12=26
26 Pennies
26*1+14*5+9*100=996
Final answer:
9 Dollars
14 Nickels
26 Pennies
Answer:
90°
Step-by-step explanation:
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