Answer:
1.85
Step-by-step explanation:
So we assume that x=x and y=y is true for both situations so
3x+2y=-2
6x-y=6
6x-y=6
add y to both sides
6x=6+y
subtract 6 from both sides
6x-6=y
subsitute (6x-6) for y in first equation
3x+2(6x-6)=-2
distribute
3x+12x-12=-2
add like terms
15x-12=-2
add 12 to both sides
15x=10
divide both sides by 15
x=2/3
subsitute
3x+2y=-2
3(2/3)+2y=-2
6/3+2y=-2
2+2y=-2
subtract 2 from both sides
2y=-4
divide both sides by 2
y=-2
x=2/3
y=-2
solution in (x,y) form
(2/3,-2)
I believe the only difference would be where they lie on the y-axis.
Answer:
system of equations are
y=53x + 10, y=55x
Step-by-step explanation:
y=mx+b where x is the number of tickets purchased and y is the total cost.
We need to frame the equation for each option
Option 1: $53 for each ticket plus a shipping fee of $10
1 ticket cost = 53
So x tickets cost = 53x
shipping fee = $10 so b= 10
So equation becomes y=53x + 10
Option 2: $55 for each ticket and free shipping
1 ticket cost = 55
So x tickets cost = 55x
shipping fee =0 so b= 0
So equation becomes y=55x
Answer:
Mean or most likely, sample mean
Step-by-step explanation:
Why ?
The mean is the central tendency of a data set, and it calculated by taking the sum of the of observations, and divided by the number of observations.
e.g. average age of students in a particular class, average height of students in a class etc.
but Sample Mean, which is the most applicable type of mean calculation occurs when the number of possible observation is too large e.g. height of all men in the world, or age of every student in the country or even number of everyone in the US. And in this case, the number of high school teachers throughout the country. Why? because we would have to get the salary of every single high school teacher and more often than not, it's impossible.
so enter "The Sample Mean" simply put we take a portion of the population (high school teachers) and we divide it by the no of observations we have. and if our sample is random enough, it will give us a good unbiased estimate of what we are looking for, in this case average salary of high school teachers.