Answer:
Equation of the line in question: 
.
Step-by-step explanation:
Start by finding the intersection of the two straight lines. The equation for both lines shall hold at their intersection. (Using the idea of the Gaussian Elimination.)
.
Add -3 times the first equation to the second:
.
Add the second equation 
to the first:
.
Hence the intersection of the two lines will be 
.
Now, find the slope of that straight line. 
is equivalent to 
. The slope of that line is equal to 1. So will be the slope of the line in question.
Apply the point-slope form of a line on a Cartesian plane:
- Point: ,
- Slope:
.
Equation of the line:
.
Simplify to obtain:
.
Answer: 11 boxes of cards for $72
Step-by-step explanation:
Brennan's equation would be
y=6x+6
Gabriel's Equation would be
y=5x+17
when they spend the same amount the equations will be equal
6x+6=5x+17
x+6= 11
x=11
so 11 boxes they would spend the same
To figure out cost, put 11 into the first equations
y=6(11)+6= 66+6= 72
y=5(11)+17= 55+17 = 72
so they each spent $72
Answer:
D
Step-by-step explanation:
I'm not really 100% sure this is a weird question but I would assume D because if something is not proportional or doesn't conform to an equation, it has no slope
Answer:
option 2 is correct
Step-by-step explanation:
please mark me as brainlist please
The LCM is the lowest number that is a multiple of all three numbers.
First, list the multiples of each number
8: 8, 16, 24, 32,40 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
10: 10, 20, 30 40, 50, 60, 70, 80, 90, 100, 110, 120
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
The LCM is 120 because there is no lower number that is a multiple of all three numbers.
Hope this helped!
