Determine the vertex of the relation y = -2x2 - 8x + 1 by partial factoring. Show all of your steps.
1 answer:
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Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today!
We can solve this problem in two steps, one being Comprehension and another being Solving. I'll start off with Comprehension.
Comprehension
We can see that based of the problem, for every batch of 7 kids, there are 4 boys and 3 girls. That means that we can split the total, which is 35, into groups of 7 and seeing how many girls and boys there are.
Now that we know what we need to figure out and what to do, we can begin solving.
Solving
So, for every group of 7 kids there are 4 boys and 3 girls. We can divide 35 by 7 to find how many of these identical groups there are.
We know that there are 5 such groups of 4 boys and 3 girls each. Therefore, we can multiply 4 and 3 by 5 as there are 5 such groups to find our total.
We know there are 20 boys.
We know there are 15 girls.
We can check this by seeing if this adds up,
Therefore, our answer is there are 15 girls and 20 boys.
Answer:
Step-by-step explanation:
Recursive Sequence
We are given the following sequence:
-1, 1, 5, 13...
It's required to find the recursive term for the sequence.
A recursive formula calculates each term as a function of one or more previous terms.
To find the recursive formula, we must find a pattern and transform it into a math expression.
Let's write the sequence, and below it, the difference of consecutive terms:
-1, 1, 5, 13...
+2, +4, +8
Note the difference between consecutive terms is always a power of 2, starting from 2^1, 2^2, 2^3.
The exponent is one less than the number of the term, thus:
Thus:
Testing:
n=1
(given).
n=2
n=3
n=4