Answer:
The slope of the line is 
and the equation of the line is 
.
Step-by-step explanation:
From table we understand that slope of the line is constant, that is, for each change of 
there is one and only change in 
, fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:
(1)
Where:
- Initial and final x-coordinates of the line.
- Initial and final y-coordinates of the line.
If we know that 
and 
, then the slope of the line is:
From graph we conclude that x-intercept of the line is 
. Hence, the equation of the line is and we proceed to plot the expression with the help of a graphing tool.
Answer: You can't solve for y or x, but you can graph it.
Hope this helps!
It takes three copies of 1/6 to show the same amount as one copy of 1/2.
Why this is is because a sixth is smaller than a half. There are six sixths in a whole. There are only two halves in a whole.
So when you divide the whole into six parts, you would need half of the parts to have a half. Like down here: <em>(not correct to scale, sorry)</em>
|-------------------|----------------------|
|-----|------|-------|------|-------|-------|
It takes 3 of the sixths to = 1 half.
another way you can check is by simplifying your fractions.
3/6, when you divide by 3 top and bottom, = 1/2
I hope this answers your question somewhat. Please ask if there's anything more
The answer is
=
4
x
2
−
20
x
+
26
Explanation:
This is a composition of functions
f
(
x
)
=
2
x
−
5
g
(
x
)
=
x
2
+
1
g
(
f
(
x
)
)
=
g
(
2
x
−
5
)
=
(
2
x
−
5
)
2
+
1
=
4
x
2
−
20
x
+
25
+
1
=
4
x
2
−
20
x
+
26
f
(
g
(
x
)
)
=
f
(
x
2
+
1
)
=
2
(
x
2
+
1
)
−
5
=
2
x
2
+
2
−
5
=
2
x
2
−
3
g
(
f
(
x
)
)
≠
f
(
g
(
x
)
)
