The function is given by
y=45,200 + 1,900x
and is of the form y = mx+b , where m is the rate of change and b is the fixed value ( or we can say initial value)
Now when we compare we get m = 1,900 for our problem .
So the population increases every year by 1,900.
Answer:
12 because 1+2 add 1 to 2 WOW
Step-by-step explanation:
I: y=(1/2)x+5
II: y=(-3/2)x-7
substitution:
fancy word for insert the definition of one variable in one equation into the other
-> isolate a variable, luckily y is isolated (even in both equations) already
-> substitute y of II into I (=copy right side of II and replace y in I with it):
(-3/2)x-7=(1/2)x+5
-3x-14=x+10
-3x-24=x
-24=4x
-6=x
-> insert x back into I (or II):
y=(1/2)x+5
=(1/2)*(-6)+5
=-3+5=2
elimination: subtract one equation from the other to eliminate a variable, again y is already isolated->no extra work required
I-II:
y-y=(1/2)x+5-[(-3/2)x-7]
0=(1/2)x+5+(3/2)x+7
0=(4/2)x+12
-12=2x
-6=x
-> insert x back into I (or II):
y=(1/2)x+5
=(1/2)*(-6)+5
=-3+5=2
Answer:
The width is: 
The length is 
Step-by-step explanation:
The given rectangle has area given algebraically by the function:
The width of the rectangle is the greatest common factor of 
, 
and 
That is the width is:
We now divide the area by the width to obtain the length of the rectangle:
This simplifies to:
