Answer:
29, 26, 21, 14, 5
Step-by-step explanation:
To find the first 5 terms, substitute n = 1, 2, 3, 4, 5 into the n th term formula.
30 - 1² = 30 - 1 = 29
30 - 2² = 30 - 4 = 26
30 - 3² = 30 - 9 = 21
30 - 4² = 30 - 16 = 14
30 - 5² = 30 - 25 = 5
The first 5 terms are 29, 26, 21, 14, 5
Explanation:
Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.
Assume the quadratic equation to be
where x is the variable.
Completing the square method is as follows:
- send the constant term to other side of equal

- divide the whole equation be coefficient of
, this will give 
- add
to both side of equality 
- Make one fraction on the right side and compress the expression on the left side

- rearrange the terms will give the vertex form of standard quadratic equation

Follow the above procedure will give the vertex form.
(NOTE : you must know that
. Use this equation in transforming the equation from step 3 to step 4)
To find distance, subtract the largest number from smaller
41 - (-7)
41 + 7 = 48
the distance is 48
hope this helps
Answer:
x=-4 x=2
Step-by-step explanation:
y = x^2 + 2x - 8
Set equal to zero
0 = x^2 + 2x - 8
Factor
What two numbers multiply to -8 and add to 2
4 * -2 = -8
4+-2 = 2
0=(x+4) ( x-2)
Using the zero product property
x+4 =0 x-2 =0
x=-4 x=2
Answer: 2
Step-by-step explanation: