Answer:
Step-by-step explanation:
Let say; By y(x)= y(e)
we have;
Using Fundamental Theorem of Calculus and differentiating by Lebiniz Rule:
dy/dx = 1/xy
RECALL: y(e) = 3
MULTIPLYING BOTH SIDE BY 2 , TO ELIMINATE THE DENOMINATOR, WE HAVE;
We need to determine the equation of both lines first.
Now that we know the equations, we can set up a system of equations for this graph where both equations are in standard form.
Line 1:
Line 2:
<em>Final answer:</em>
Answer:
b = (T - a - c - d) / 3
Step-by-step explanation:
Let T be the total number of points required to advance.
a, c and d are points scored in the local matches, and b is the number of points scored in the district match. If b is worth 3 times as much as the other matches, the total number of points is given by:
Isolate b in order to find out how many points they need in the district match:
They need to score (T - a - c - d)/3, in the district match in order to win.
The vertex of the function is:
(-2,-2)
<h2>Step-by-step explanation:</h2>We are given a absolute value function f(x) in terms of variable "x" as:
We know that for any absolute function of the general form:
the vertex of the function is : (h,k)
and if a<0 the graph of function opens downwards.
and if a>0 the graph of the function opens upwards.
Hence, here after comparing the equation with general form of the equation we see that:
a= -1<0 , h= -2 and k= -2
Since a is negative , hence, the graph opens down .
Hence, the vertex of the function is:
(-2,-2)
