4 because 6(4) = 24 and 24-3=21
Step-by-step explanation:
That function is a line that goes through the origin (0,0).
You only need one more point to be able to draw it.
Take x=4,5 the corresponding value of y is exactly what you want to know, the number of miles the lava moved after 4,5 hours.
So y = 6 * 4,5 = 27
Your second point is (4,5 , 27).
Now you can draw your line.
Answer:
x >= 0 & y<0
x >= 0 means that x is non-negative
y<0 means that y is negative
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5
