Answer:
Step-by-step explanation:
The point of intersection of
and
is the solution of the two equations.
We add equation (1) and equation(2) to get,
We put 
into equation (1) to get,
Therefore the line passes through the point, 
.
The line also passes through the point of intersection of
and
We subtract equation (3) from equation (4) to obtain,
We substitute this value into equation (4) to get,
The line also passes through
The slope of the line is
The equation of the line is
is the required equation
Hello! First we should note that the shape of the figure can be broken down into two rectangular prisms, so that the expression will look like:
Volume = (w • h • l) vertical rectangular prism + (w •h • l) horizontal rectangular prism
Thus Volume = (7 • 3 • 3) + (9 • 3 • 4)
Answer:
Step-by-step explanation:
Hope this helps
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ANSWER TO QUESTION 1
.
EXPLANATION
The function given to us is,
According to rational roots theorem,
are possible rational zeros of
.
We find out that,
Also
This implies that
are factors of
and hence 
is also a factor.
We perform the long division as shown in the diagram.
Hence,
.
ANSWER TO QUESTION 2
Sketching the graph
We can see from the factorization that the roots
and 
have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.
Also the root has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.
Now we determine the position of the graph on the following intervals,
We can now use these information to sketch the function as shown in diagram
Answer:
(3x - x) :v
Step-by-step explanation:
3x - 5 - x =134
2x - 5 = 134
2x = 139
x = 139/2
