If f(x) = 2x - 5 and g(x) = x + 52, then f(g(x)) can be deduced by placing g(x) in the spot of x in the f(x) equation as follows:
f(g(x)) = 2(g(x)) - 5
Since we know g(x) = x + 52, let's plug it in:
f(g(x)) = 2(x + 52) - 5
f(g(x)) = 2x + 104 - 5
f(g(x)) = 2x + 99
Answer:
Step-by-step explanation:
For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.
The amount of alcohol in the mix is ...
0.22x +0.10(4.8-x) = 0.12(4.8)
Eliminating parentheses, we have ...
0.22x -0.10x +0.10(4.8) = 0.12(4.8)
Subtracting (0.10)(4.8) and combining x-terms gives ...
0.12x = 0.02(4.8)
x = (0.02/0.12)(4.8) = 0.8 . . . . . divide by the x-coefficient
The scientist needs 0.8 L of 22% solution and 4.0 L of 10% solution.
40 liters.....30% is yellow tint
0.30(40) = 12 liters are yellow
if u add 6 liters....(12 + 6) = 18 liters are now yellow...and since u added 6 liters, ur total mixture is now 46 liters.
18/46 = 0.39 = 39% <===
Answer:
The price of the tv before tax is 410
Step-by-step explanation:
Let x = price of tv before tax
tax = x* 9%
tax = .09x
The total cost is price of tv before tax plus tax
total cost = x + .09x
total cost = 1.09x
446.90 = 1.09x
Divide each side by 1.09
446.90/1.09 = 1.09x/1.09
410 = x
The price of the tv before tax is 410
