Answer:
The linear equation can be written as
Step-by-step explanation:
Given that "Mr. Malone can heat his house in the winter by burning three cords of wood, by sing natural gas, or by combination of the two"
And his heating budget for the winter is $600
To find a linear equation that describes the problem:
Let the cords of wood be x and let sing natural gas be y
So that the combination of the cords of wood and sing natural gas is x+y
Now the linear equation can be written as
Since you have the slope, you can start your equation with y= -8/7x +b. To find b, plug the X value for the point you were given in for the X (-8/7•4) you get -32/7 or -4.57. Then you take the given Y value(4) and subtract the number you just found (4-(-4.57)). You get 8.57. That means your equation is Y= -8/7 + 8.57
is to say
for all
beyond some fixed
.
Similarly,
is to say
for all
.
From this we can gather that
where
is the larger of the two values
and
, or
. Then the last term is bounded above by
from which it follows that
-12,3 ...................................
