Answer:
169
Step-by-step explanation:
Keywords:
<em>Quadratic equation, vertex shape, parabola
</em>
For this case we have to rewrite the given quadratic equation, in the form of vertex, for this, we must take into account that a quadratic equation of the form , can be rewritten in the form of vertex as: Vertice is the lowest or highest point of the parabola. The vertex is given by: . So, let: , to find the equation in the form of vertex, we follow the steps below:
Step 1:
We take the common factor to the first two terms of the equation:
Step 2:
We work square:
We divide the coefficient of the term by 2 and its result is squared, that is:
So, we have:
Step 3:
We simplify:
Step 4:
We factor:
Thus,
Answer:
The equation in the form of vertex is: , and the vertex is
Answer:
That is 6 divided by 3/8, better written as
6
--
1
====
3
--
8
Invert the 3/8 and then multiply:
6 8
-- * ---
1 3
Reduce 6/3: 6/3 = 2
Then you have 2(8), or 16 (answer)
Option C:
Solution:
Given expression:
Summation means sum of the numbers.
Put n = 1 to 5 and sum all the numbers.
Using exponential rule: , so that
= 3.75
Option C is the correct answer.
Hence approximate value of is 3.75.