Answer:
Gradient of A: 2
Gradient of B: -1
Step-by-step explanation:
Gradient = change in y/change in x
✔️Gradient of A using two points on line A, (2, 5) and (0, 1):
Gradient = (1 - 5)/(0 - 2) = -4/-2
Simplify
Gradient of A = 2
✔️Gradient of B using two points on line B, (0, 5) and (5, 0):
Gradient = (0 - 5)/(5 - 0) = -5/5
Simplify
Gradient of B = -1
The motorist can travel 25.92 miles on one gallon of gas
Width of the rectangle is x + 3 in
Step-by-step explanation:
- Step 1: Given area of the rectangle = 3x² + 9x in². Length = 3x in. Find width.
Area = length × width
3x² + 9x = 3x × width
∴ Width = 3x² + 9x/3x = x + 3 in
Answer:
an = 4^(n-1)
Step-by-step explanation:
The three given terms have a common ratio of 4:
4/1 = 16/4 = 4
So, this can be described by the function for a geometric sequence:
an = a1×r^(n -1)
where an is the n-th term, a1 is the first term (1) and r is the common ratio (4).
an = 1×4^(n-1)
an = 4^(n -1) . . . . . simplified
Answer: Sabric is correct because 3.613 is smaller than 3.63. Therefore, –3.613 lies to the left of –3.63 on a number line.
Step-by-step explanation:
Given that:
Sabric's claim = –3.613 > –3.63
Jessica's claim = –3.613 < –3.63
From the claims above, - 3.613 is greater than - 3.63, this is because both numbers are negative and as such moving towards the left hand side of the number line from 0. - 3.613 will be encountered first before - 3.630, which signifies that - 3.613 is greater than - 3.630
