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1 answer:
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For this case we have the following expression:
The first thing we must do is to rewrite the expression as the product of two binomials.
To do this, we add similar terms.
We have then:
Then, doing distributive property we have:
Adding similar terms:
Answer:
The simplified expression is:
The first thing we must do is to rewrite the expression as the product of two binomials.
To do this, we add similar terms.
We have then:
Then, doing distributive property we have:
Adding similar terms:
Answer:
The simplified expression is:
Answer:
-3 1/3
Step-by-step explanation:
The quadratic
... y = ax² +bx +c
has its extreme value at
... x = -b/(2a)
Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.
To find the minimum value, we need to evaluate the function for x=2/3.
The most straightforward way to do this is to substitue 2/3 for x.
... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2
... y = (4 -8 -6)/3 = -10/3
... y = -3 1/3
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<em>Confirmation</em>
You can also use a graphing calculator to show you the minimum.
We know that if f(a)=b then 
and
if
then f(b)=a
so
since
therefor, f(-2)=0
we have 2 points, (-2,0) and (0,3)
we can use slope intercept form
y=mx+b
m=slope
b=y intercept
we have when x=0, y=3, that is the y intercept
y=mx+3
substitute the other point
(-2,0)
x=-2, y=0
0=-2m+3
-3=-2m
divide both sides by -2
the equation is
or
3x-2y=-6 in standard form
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and
if
so
since
we have 2 points, (-2,0) and (0,3)
we can use slope intercept form
y=mx+b
m=slope
b=y intercept
we have when x=0, y=3, that is the y intercept
y=mx+3
substitute the other point
(-2,0)
x=-2, y=0
0=-2m+3
-3=-2m
divide both sides by -2
the equation is
or
3x-2y=-6 in standard form
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