Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
I feel like you just put random numbers in to waste someone time... but I did the problem any way.
Division Problem: 90 people were invited to the party.
1. How many tables are needed, if each table can seat 8 people?
2. How many tables will be completely full?
3. How many people will be at an incomplete table?
Solution:
You have that 90=8·11+2 (8 - divisor, 11 - quotient, 2 - remainder).
Since the quotient is 11, 12 tables are needed, 11 tables will be completely full and the last 12th table will be incomplete, only 2 people will be at this table.
Answer: 1. 12 tables, 2. 11 tables, 3. 2 people
I think the answer is 6 from the information you provided.
Answer:
Fraction:q=5/3
Decimal:q=1.6 forever
Mixed fraction:q=1 2/3
Step-by-step explanation:
