Answer: (-8/5,0)
Step-by-step explanation: If the slope is 5, m = 5
For (-1,3) we have x₀= -1 and y₀ = 3, to find the line equation
y - y₀ = m(x - x₀)
y - 3 = 5(x - (-1))
y - 3 = 5(x + 1)
y - 3 = 5x + 5
y = 5x + 8
A P that intersects the x axis has y = 0
0 = 5x + 8
5x = -8
x = -8/5
P (-8/5,0)
Answer:
1700 books
Step-by-step explanation:
We are given;
- % of non-fiction books in the library as 28%
- Number of fiction books in the library as 1,224 books
We are required to determine the total number of books.
First we determine the percentage of non-fiction books
We need to know that;
% of fiction books + % of non-fiction books = 100%
Therefore;
% of non-fiction books = 100 % - 28 %
= 72%
Second we determine the total number of books
We know that;
Total number of books = 100%
But;
72% = 1,224 books
Therefore;
Total number of books = (1,224 × 100%) ÷ 72%
= 1700 books
Hence, the library has a total number of 1700 books
Answer:
D) (3.67, 4.73)
Step-by-step explanation:
Confidence Interval for the true average number of homes that a person owns in his or her lifetimecan be calculated using M±ME where
- M is the average number of home owned (4.2)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated as
ME=
where
- z is the corresponding statistic in the given confidence level(1.96)
- s is the standard deviation of the sample(2.1)
- N is the sample size (60)
Putting the numbers we get ME=
≈0.53
Then the 95% confidence interval is 4.2±0.53 or (3.67, 4.73)
Answer:
6x^2(5x^4 +3)
Step-by-step explanation:
The greatest common factor of 18 = 3·6 and 30 = 5·6 is 6.
The greatest common factor of x^2 and x^6 is x^2.
Factoring 6x^2 from both terms, we get ...
... 18x^2 +30x^6 = 6x^2(3 +5x^4)
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<em>Comment on the question</em>
Since this answer is not among the answer choices, I suggest you ask your teacher to demonstrate how this problem is worked.
It appears as though the answers go with the problem 18x^9 +30x^6. Maybe there's a typo somewhere. For that problem, the best choice is the 2nd answer.
