y = -(1/2) sqrt(x + 3) Interchange the x and y
x = -(1/2) sqrt(y + 3) multiply through by - 2
-2x = sqrt(y + 3) Square both sides.
(-2x)^2 = (sqrt(y + 3))^2
4x^2 = y + 3 Subtract 3 from both sides.
y = 4x^2 - 3
The usual rule is to interchange the domain and range of the original equation with the inverse. The range of the original equation is 0 => y > -infinity.
If that is the case, then the domain of the inverse is 0<=x. The graph was revised and provided by Mathmate. It is the correct way to represent this function and it's inverse Including the fact that x<=0. That restriction is very important. The line is x = y and the graphs should reflect around that line.
Answer: $7800 was invested at 9%
$5900 was invested at 3%
Step-by-step explanation:
Let x represent the amount invested in the fund that paid a dividend of 9%.
Let y represent the amount invested in the fund that paid a dividend of 3%.
Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that
0.09x + 0.03y = 879- - - - - - - - - 1
This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $839. It means that
0.1x + 0.01y = 839 - - - - - - - - - -2
Multiplying equation 1 by 0.1 and equation 2 by 0.09, it becomes
0.009x + 0.003y = 87.9
0.009x + 0.0009y = 75.51
Subtracting, it becomes
0.0021y = 12.39
y = 12.39/0.0021
y = 5900
Substituting y = 5900 into equation 1, it becomes
0.09x + 0.03 × 5900 = 879
0.09x + 177 = 879
0.09x = 879 - 177
0.09x = 702
x = 702/0.09
x = 7800
Answer:
3/8
Step-by-step explanation:
1/4= 2/8
5/8-2/8=3/8
Alright, imma help you. Imma work on it on a piece of paper. :D
Answer: He will need to assemble 12 bikes, because 12 x 15.50 = $186 and $186 + 150 = $336
Step-by-step explanation: Don't need one :)) it's basic math