Y=x2−6x+10 y=4−x How do I substitute?
1 answer:
Answer:
(2,2) and (3,1)
Step-by-step explanation:
Since we're given the value of y in the second equation, we can replace the y on the left side of the first equation with 4-x, giving us
We can factor the expression on the right to get us
Solving and
gets us the solutions
, which we can plug into the second equation to get us
So, our solution set is the pair of points (2,2) and (3,1)
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For the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.
<h3>What is geometric series?</h3>A series of numbers whose any two consecutive numbers are always in a common ratio of that series.
Given to us
Series, 1 3 9 27 81
To find the value of the common ratio(r), we will simply find the ratio of any two consecutive numbers, therefore,
As we can see the common ratio of the given series is 3, therefore, every next number will be thrice the number before.
We need to find the value of a₁ for the given series, and as we know that a₁ is the first number of the series with which the series is starting, therefore,
a₁ = 1
Hence, for the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.
Learn More about Geometric Series:
Answer:
The number of enrollments increased by 5%.
Step-by-step explanation:
Given that:
Number of students at the beginning of the year = 480
Number of students at the end of the year = 504
Change = 504 - 480 = 24
This indicates increase.
Percent of change =
Percent of change =
Percent of change = 5%
Hence,
The number of enrollments increased by 5%.