9514 1404 393
Answer:
g(x) = √(x -5) +7
Step-by-step explanation:
To translate the graph of f(x) by h units horizontally and k units vertically, the function is transformed to ...
g(x) = f(x -h) +k
To translate f(x) = √x by 5 units horizontally and 7 units vertically, the function is transformed to ...
g(x) = √(x -5) +7
Answer:
The answer to the question is
She invested
Php2700.00 at 8 % and
Php 20,400.00 at 11 %
Step-by-step explanation:
To solve the question we note that
Simple interest is given by 
where
P= Principal, R = Rate and T = Time
If we call the first part P₁, T₁, and R₁ and the second part
P₂, T₂, and R₂
Then 
= 2700×0.08×1 + P₂×0.11×1 = 2460 which gives
2244÷0.11 = P₂ or P₂ = Php 20,400.00
That is she invested
Php2700.00 at 8 % and
Php 20,400.00 at 11 %
Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2
Solution
f(x)=2x+1
y=f(x)
y=2x+1
Isolating x: Subtracting 1 both sides of the equation:
y-1=2x+1-1
y-1=2x
Multiplying both sides of the equation by 1/2:
(1/2)(y-1)=(1/2)2x
(1/2)y-1/2=x
x=(1/2)y-1/2
Changing "x" by "f^(-1) (x)" and "y" by "x":
f^(-1) (x) = (1/2)x-1/2
1/6 plus 1/18, which equals to 2/9. Suppose we roll 4 on the first roll (the probability of rolling 4 is 1/12). On each successive roll the probability of rolling 7 is 1/6 and the probability of rolling 4 is 1/12.
[i.dk how this can help but if you got a 7 or 11 rolling on the first round you would probably win]
The square (call it 
) has one vertex at the origin (0, 0, 0) and one edge on the y-axis, which tells us another vertex is (0, 3, 0). The normal vector to the plane is 
, which is enough information to figure out the equation of the plane containing :
We can parameterize this surface by
for 
and 
. Then the flux of 
, assumed to be
,
is
