Expand and simplify (X+5)(X+1)
2 answers:
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Solution: The sequence B shows the steeper line.
Exanation:
The line having greater slope is always steeper than the other lines.
Since it is given that the sequence A increases by 3 and the sequence B increases by 8. It means for each additional value the sequences increased by 3 and 5 units respectively.
The slope of line is rate of change of one variable with respect to another variable.
The sequence A increased by 3, therefore the slope of line of sequence A is 3.
The sequence B increased by 8, therefore the slope of line of sequence B is 8.
Since the slope of sequence B is greater than the slope of sequence A, therefore the line of sequence B is steeper than the line of sequence A.
The sequence A can be defined as 3,6,9,12,.... and the sequence B can be defined as 8,16,24,....
So the coordinates points of sequence A are (0,0)(1,3),(2,6) and the coordinates points of sequence B are (0,0),(1,8),(2,16).
From the given figure it is notes that the blue line is steeper than red line.
Therefore, the sequence B shows the steeper line.
Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
(a)
here m = - and c = 6, hence
y = - x + 6 ← equation of line
(b)
here m = 6, hence
y = 6x + c ← is the partial equation
to find c substitute (2, - 6 ) into the partial equation
- 6 = 12 + c ⇒ c = - 6 - 12 = - 18
y = 6x - 18 ← equation of line
(c)
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)
m = =
, hence
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 1, 3 ), then
3 = - + c → c = 3 +
=
y = x +
← equation of line