If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point. That is how you graphically "solve" the system of equations.
Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.
So for y=7x-9, the slope is 7 and the y-intercept is -9
For y=3x-1, the slope is 3 and the y-intercept is -1
....
The solution for this system occurs when both coordinates are equal to each other so we can say:
7x-9=3x-1 subtract 3x from both sides
4x-9=-1 add 9 to both sides
4x=8 divide both sides by 4
x=2, making y=3x-1 become:
y=3(2)-1=6-1=5, so the solution to the system of equations is:
(2,5)
Answer:
19/27
Step-by-step explanation:
Each time that you roll a dice, there is a 1/3 chance you get a 5/6(assuming you have a fair dice). The probability of rolling that atleast once is the inverse of the probability of rolling a 1-4 each time. There is a chance each time you roll the dice. Thus raising this to the third power results in . Since we are looking for the inverse probability, we can do:
In order to get our final answer.
Answer:
Yes, you can buy the used car with $849.92 left over.
Step-by-step explanation:
20 hours per week for 52 weeks = 1040 hours
1040 hours at $8 = $8320 per year
FICA = 8320 x 0.0565 = $470.08
8320 - 470.08 = $7849.92
Answer:It Must be (4*7)^2
Step-by-step explanation:
(4*7)^2
=28^2
=784
Answer:
Line AB is Perpendicular to line CD
Line AB Parallel to line EF