Simplify -3p 3 + 5p + (-2p 2) + (-4) - 12p + 5 - (-8p 3). Select the answer in descending powers of p.
1 answer:
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Answer:
The correct option is 3.
Step-by-step explanation:
The given equation is
It can be written as
Taking out the common factor form the parenthesis.
If an expression is defined as then we add
to make it perfect square.
In the above equation b=6.
Add and subtract 3^2 in the parenthesis.
.... (1)
Add 32 on both sides.
The vertex from of a parabola is
.... (2)
If a>0, then k is minimum value at x=h.
From (1) and (2) in is clear that a=2, h=-3 and k=-32. It means the minimum value is -32 at x=-3.
The equation reveals the minimum value for the given equation.
Therefore the correct option is 3.
Answer:
The larger number = 116
Step-by-step explanation:
Let the smaller number = x
Given that one number is 78 more than another, so
The larger number = x+78
Given that if we add 12 to the smaller number, the result is 50, so
subtract 12 from both sides
Simplify
Therefore,
- The smaller number = 38
- The larger number = x+78 = 38+78 = 116
Thus, the larger number = 116