Answer:
Option 2
Step-by-step explanation:
The quantities are not proportional because the line of the graph is both passing through the origin. It might have been proportional if it was passing through the origin.
The sequence is to take the previous number and multiply by 4, so the sequence is
3 12 48 192 768 3072 12288
add them all up and you get 16383
Answer:
x = -1, y = 1
Step-by-step explanation:
6 + 4x - 2y = 0 (1)
-3 - 7y = 10x (2)
From (1)
6 + 4x - 2y = 0 (1)
4x - 2y = -6 (3)
From (2)
-3 - 7y = 10x (2)
10x + 7y = -3 (4)
4x - 2y = -6 (3)
10x + 7y = -3 (4)
Using elimination method
Multiply (3) by 10 and (4) by 4 to eliminate x
40x - 20y = -60
40x + 28y = -12
28y - (-20y) = -12 - (-60)
28y + 20y = -12 + 60
48y = 48
y = 48/48
y = 1
Substitute y = 1 into (3)
4x - 2y = -6 (3)
4x - 2(1) = -6
4x - 2 = -6
4x = -6 + 2
4x = -4
x = -4/4
x = -1
x = -1, y = 1
The value of x in the equation is -1
Answer:
therefore x = 600 mph
therefore the speed of the other plane y = x - 110 = 600 - 110 = 490 mph
Step-by-step explanation:
i) Two planes are 2725 miles apart and are travelling towards each other.
ii) One plane is travelling 110 mph faster than the other plane.
iii) the planes pass each other in 2.5 hours
iv) let the speed of one plane be x mph
v) let the speed of another plane be y mph
vi) therefore x - y = 110 mph
vii) and also x + y = 2725/2.5 = 1090
viii) adding the equation in vi) to the equation in vii) we get 2x = 1200
therefore x = 600 mph
ix) therefore the speed of the other plane y = x - 110 = 600 - 110 = 490 mph
