<h2>
Perfect Squares</h2>
Perfect square formula/rules:
Trinomials are often organized like 
.
The <em>b</em> value in this case is <em>c</em>, and it will always equal the square of half of the <em>b</em> value.
- Perfect square trinomial:
- or
<h2>Solving the Question</h2>
We're given:
In a trinomial, we're given the 
and 
values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:
Therefore, the term that we can add is + 4.
To write this as the square of a bracketed expression, we can follow the rule 
:
<h2>Answer</h2>
Answer: 5 = y
Step-by-step explanation:
Lagrange multipliers:
(if
)
(if
)
(if
)
In the first octant, we assume
, so we can ignore the caveats above. Now,
so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of
.
We also need to check the boundary of the region, i.e. the intersection of
with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force
, so the point we found is the only extremum.
The answer will be F=2x/x + 4/x
Answer: C) 50
Step-by-step explanation:
The smallest number on the plot is 43. The largest is 93. The range of a chart is the largest number - the smallest number. Thus, simply do 93-43 to get 50.
Hope it helps <3
