The graph below have the same shape. what is the equation of the blue graph
2 answers:
<h2>Answer:</h2>
Option: B is the correct answer.
The equation of blue graph is:
B.
We could clearly observe from the graph that the vertex of the blue graph is:
(-4,-3)
Also from the figure we could see that the parabola is a upward open parabola.Hence, the general equation of an upward open parabola is given by:
where (h,k) denote the vertex of the parabola.
Hence, we have: (h,k)=(-4,-3)
i.e. h= -4 and k= -3
Hence, the equation of blue graph is:
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So Matt is canoeing on a Lake.
It took him 2 hours to get to the lake 4 kilometers away.
On the way back it takes him 90 minutes.
Now, lets say that he is canoeing at 'u' miles per hour and lets assume that the speed of the wind is 'v' miles per hour.
While he sails in opposite to the wind net speed is given by .
Using the relation between distance, time, and speed we get:
kilometers per hour so we get,
..............(equation 1)
Now when he sails along the wind, the net speed is given by
Now, again use the same relation as stated above we get:
(here we have converted 90 minutes into hours
)
..............(equation 2)
Solving equation 1 and 2 we get:
, putting the value of 'u' in equation 1 we get
.
So the speed at which Matt is canoeing is 'u' that is 2.3 kilometers per hour and the wind is flowing at 0.3 kilometers per hour.
So Matt can canoe at 2.3 kilometers per hour without wind. And wind is slowing him down by 0.3 kilometer per hour.
Answer:
- When we are having a rational expression i.e. a expression of the type:
Where f(x) and g(x) are polynomial functions.
Now the domain of this rational expression is whole of the real numbers except the points where the function g(x) will be zero.
Hence we have to exclude the points where the given denominator quantity is zero.
- Let us consider an example as:
Let R(x) denote the rational function as:
Now the domain of this rational function will be whole of the real line minus the points where the denominator is zero.
We know that (x-2)(x-3) is zero when x=2 or x=3.
Hence, the domain of R(x) is: R- {2,3}.