If the lines cross, there is a solution , which means that there is a y and x value which satisfies both equations.
since both the equations start with x+y they shoulddd have the same answer if they had crossed. we can tell straight away these lines do not cross because 6=/=4 6 doesnt equal 4. therefore no solution.
TIP: for the future, if they had crossed, you can use simultaneous equations to find x and y to see if they work in each equation and find a solution ( since they are straight lines there will only be 1 solution, unless they are literally the same line in which case then then they are ALWAYS on top of each other and always have the same values)
Answer:
s=-4
Step-by-step explanation:
- combine like terms on each side and get 3s-12=6s
- subtract 3s from both sides to get -12=3s
- divide both sides by three and get s=-4
Step-by-step explanation:
2.9 hours = 174mins
174 mins = 4.9miles
1 miles = 1740/49 mins
8.73 miles = 310.0mins (1dp)
Topic: Rate & Proportions
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Answer:
6 gallons per minute
Step-by-step explanation:
Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is
Q = a + bt ........... (1)
Now, Q(t = 0) is given to be 50 gallons.
So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).
Now, two points on the graph are (0,50) and (1,44).
So, the slope = b = = - 6 gallons per minute.
Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)
