Step-by-step explanation:
The first number in the sequence is -6.
The second number is -3, which is 1/2 the first number.
The third number is -2, which is 2/3 the second number.
The fourth number is -3/2, which is 3/4 the third number.
The fifth number is -6/5, which is 4/5 the fourth number.
So the pattern is:
Given the following expression show below;
Factor out the GCF from both the numerator and denominator
This can also be expressed as;
Cancel out the common expression
Hence the simplified form of the expression is -11/5
Answer:
Step-by-step explanation:
Completing the square is a process of converting a quadratic equation in standard form into vertex form.
The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.
Factor out the coefficient of the quadratic term,
Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.
Simplify,
The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.