See attachment of the graph of the inequalities x + 7y ≤ 49 and 6x + y ≤ 48
<h3>How to graph the inequalities?</h3>The inequalities are given as:
x + 7y ≤ 49
6x + y ≤ 48
The domain and the range are:
x ≥ 0
y ≥ 0
This means that, we plot the inequalities x + 7y ≤ 49 and 6x + y ≤ 48 under the domain and the range x ≥ 0 and y ≥ 0
See attachment of the graph of the inequalities x + 7y ≤ 49 and 6x + y ≤ 48
Read more about inequalities at:
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Answer:
Step-by-step explanation:
Let:
We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2
Now subtract (2) from 2*(1) in order to eliminate x:
Solving for y:
Multiplying both sides by -1
Finally, replacing the value of y in (1)
Solving for x:
add 41 to both sides:
Multiply both sides by 1/2:
9514 1404 393
Answer:
x^2 -4x +2 = 0
Step-by-step explanation:
The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...
(x -2-√2)(x -2+√2) = 0
Expanding this, we get ...
(x -2)^2 -(√2)^2 = 0
x^2 -4x +4 -2 = 0
x^2 -4x +2 = 0 . . . . the equation you're looking for
