<h3>
Answer:</h3>
2xy
<h3>
Step-by-step explanation:</h3>
GCF stands for the greatest common factor.
Finding All Factors
To find the GCF you need to find the factors of each term. First, find the factors of the coefficients.
- The factors of 18 include: 1, 2, 3, 6, 9 and 18
- The factors of 32 include: 1, 2, 4, 8, 16, and 32
Next, lay out the variables that are factors.
- The variables of 18xy are x and y.
- The variables of 32xyz are x, y, and z.
Remember that variables count as factors
Greatest Common Factor
Now that we have all of the factors we can find the GCF. The GCF will be the largest number and the most variables that are a factor of both terms.
In this case, the largest factor of 18 and 32 is 2. Since both x and y are factors of both terms, the GCF is 2xy.
The second one seems about right.
Answer:
please provide the diagram
Answer:
graph{3x+5 [-10, 10, -5, 5]}
x
intercept:
x
=
−
5
3
y
intercept:
y
=
5
Explanation:
For a linear graph, the quickest way to sketch the function is to determine the
x
and
y
intercepts and draw a line between the two: this line is our graph.
Let's calculate the
y
intercept first:
With any function,
y
intercepts where
x
=
0
.
Therefore, substituting
x
=
0
into the equation, we get:
y
=
3
⋅
0
+
5
y
=
5
Therefore, the
y
intercept cuts through the point (0,5)
Let's calculate the
x
intercept next:
Recall that with any function:
y
intercepts where
x
=
0
.
The opposite is also true: with any function
x
intercepts where
y
=
0
.
If we substitute
y
=
0
, we get:
0
=
3
x
+
5
Let's now rearrange and solve for
x
to calculate the
x
intercept.
−
5
=
3
x
−
5
3
=
x
Therefore, the
x
intercept cuts through the point
(
−
5
3
,
0
)
.
Now we have both the
x
and
y
intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them
The graph of the function
y
=
3
x
+
5
:
graph{3x+5 [-10, 10, -5, 5]}
