Solution is x=2 and y=-3
check the slopes since both are in slope int form
y=mx+b
m=slope
b=yint
we see one line has a slope of -2 and yint of 1
another one has a slope of 1/2 and yint of -4
y=-2x+1 and y=1/2x-4
1/2x-4=-2x+1
last one
Answer:
30 feet
Step-by-step explanation:
sea level = 0
up 20 feet
below 10 feet
total 30 feet
Answer:
Regression function: 
The function predicts that population will reach 14,000 in year 2068.
Step-by-step explanation:
We have to determine a function 
by applying linear regression. The data we have is 5 pair of points which relates population to year.
According to the simple regression model (one independent variable), if we minimize the error between the model (the linear function) and the points given, the parameters are:
We start calculating the average of x and y
The sample covariance can be calculated as
The variance of x can be calculated as
Now we can calculate the parameters of the regression model
The function then become:
With this linear equation we can predict when the population will reach 14,000:
Answer:
Area: A = 42x - 49
Step-by-step explanation:
Area of rectangle = L * W
Plug in
A = 7 * (6x - 7)
A = 42x - 49
So let's say
x=number of five dollare bills
y=number of 1 dolar bills
20 bills total
x+y=20
totla is 72 monies
72=5 times x+1 times y=5x+1y=5x+y
solve
x+y=20
5x+y=72
from here you could do 2 things: go to option 1 (longer) or option 2 (shorter)
1.
x+y=20
subtract x from both sides
y=20-x
5x+y=72
subtract 5x from boths ides
y=72-5x
subsitute
y=20-x=y=72-5x
20-x=72-5x
add 5x to both sides
20+4x=72
subtract 20 from both sides
4x=52
divide both sides by 4
x=13
subsitute
x+y=20
13+y=20
subtract 13
y=7
2.
another way is when you got 5x+y=72 and x+y=20
you negative the second equaiton and add to th efirst
I know it sounds like voodo at first but it works
-(x+y=20)=-x-y=-20
add
5x+y=72
<u>-x-y=-20 +</u>
4x+0y=52
4x=52
divide both sides by 4
x=13
subsitute
x+y=20
13+y=20
subtract 13
y=7
