Y = -0.4x
1) It is a straight line
2) I passes through the origin (0,0), because the y-intercpet is 0.
3) The slope is negative, so it passes throuh II and III quadrants
4) The magnitude of the slope = 0.4
4) The angle of the line with the negative side of the x-axis is that whose tan is 0.4 => angle = 21.8 °
With all that information you can identify the graph, given that you didn't include the options.
Packet of 12 pencils = p
Packet of 30 rulers = r
p = £2.15
r = £6.00
£35 = 4r + xp
£35 = 4(£6.00) + x(£2.15)
£35 = £24 + £2.15x
£11 = £2.15x
x = 5.12
Since she can buy 5.12 packets of pencils, it is equal to 5 packets of pencils.
Starting amount: 982 pounds of grain
Since Mr. Parker fed 240 pounds of grain to his pigs, subtract 240 pounds from 982 pounds of grain.
982 - 240 = 742
After feeding pigs: 742 pounds of grain
Mr. Parker fed another 460 pounds of grain to his cows from his 742 pounds, so subtract 460 pounds from 742 pounds.
742 - 460 = 282
After feeding pigs and cows: 282 pounds of grain
Mr. Parker has 282 pounds of grain left.
Answer:
Conjecture: For every number x, the result of the is 2x
Step-by-step explanation:
First Number: 8
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
Second: 10
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
Third: 5
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
Fourth: 2
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
On a general terms:
Let the number be x.
Multiply by 88: 
Add 88: 
Divide by 44: 
Subtract 2: 
Notice that for every input x, the result is 2x
