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:
(4,8) (8,0) (-4,4)
Step-by-step explanation:
2(2,4)
(4,8)
2(4,0)
(8,0)
2(-2,2)
(-4,4)
Plot the points
The sofa will cost $539.97
The love seat will cost $276
Just multiply each cost by .4 Then minus that from the cost.
Hope that helped
Answer:
A. Miguel has the greatest spread.
The range of the two persons can be determined by:
Adam's range = 106 -91
= 15
Miguel's range = 105 -86
= 19
B. Considering the middle 50% of the training time, the person with the least spread is Adam.
Adam - 103 105 104 106 100
Miguel - 88 86 89 93 105
Adam's 50% range = 106 - 100
= 6
Miguel's 50% range = 105 - 86
= 19
Adam has the least spread
C. Miguel is inconsistent with the time set for training compared to that of Adam.
The answers to parts 2a and 2b show that there is a wide variation in the time that Miguel spend during training, but a minimum variation in the time spent by Adam during training.
X = 3
and
formula -
(y-y1)/(x-x1) = (y2-y1)/(x2-x1)
(x1,y1) = (4,1)
(x2,y2) =( 5,3)
(y-1)/(x-4) = (3-1)/(5-4)
y-1/x-4 = 2/1
y-1 = 2x - 8
y = 2x - 7
the solution will be x= 3 and y = -1