Answer:
Concept: Algebraic Representation
- 4550 < n < 4570
- 4500 < n < 4700
- Pete walker further than Naomi
- a. 110 < x < 130
- b. 1.22 < x < 1.26
- c. 0.0084 < x < 0.0154
(8.4, 8.4) or 
Explanation:
Given points are A(2, 6) and B(18, 12).
Let P(x, y) partitions the line segment in the ratio 2 : 3.
That is AP : PB = 2 : 3.
A(2, 6) can be taken as 
B(18, 12) can be taken as 
AP : PB can be taken as m : n = 2 : 3.
The coordinate of point P(x, y) divides line segment joining
and
in ratio m : n is

Here,
and m = 2, n = 3.
Substitute these in the above formula, we get



= (8.4, 8.4)
Hence, the point partitions the line segment is (8.4, 8.4) or
.
The total number of hours Ivan biked is 6 2/3 because if you add 1 2/3, 2 1/3 and 2 2/3 you get 6 and 2/3
y=-4x-8
To find x-intercept / zero , substitute y=0
0=4x-8
Move <u>Variable</u> to the left-hand side and change its sign
-4x=-8
Divide both sides of the equation by -4
Answer: x=2