CD is tangent to circle A at point B.
1 answer:
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9514 1404 393
Answer:
(1) -5 and -3
Step-by-step explanation:
Descarte's rule of signs tells you the lack of sign changes among the coefficients means there are <em>no positive real roots</em>. That eliminates all answer choices except the first one.
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If you want to go to the trouble, you can factor the equation:
y = (x +3)(x +5)
These factors are zero when x = -5 and x = -3.
Complete question :
The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?
Answer:
B
Step-by-step explanation:
BOX plots provide information about :
Minimum, Lower quartile, Median, Upper quartile and maximum value of a dataset.
Given the dataset :
24, 25, 29, 30, 31, 31, 32, 34, 34
Minimum value = 24 (Lowest value in the dataset)
First quartile (Q1) = 1/4(n+1)th term
Q1 = 1/4 * 10 = 10/4 = 2.5th term = (25+29)/2 = 27
Second quartile ; median (Q2) = 1/2(n+1)th term
Q2 = 1/2(n+1)th term = 1/2(10) = 5th = 31
Third quartile (Q3) = 3/4(n+1)th term
Q3 = 3/4(n+1)th term = 3/4(10) = 30/4 = 7.5th term = (7th +8th) term = (32 + 34) / 2 = 66/2 = 33
Maximum value = 34 (Highest value in the dataset)
First dot = minimum value
Last dot = maximum value
First line of box = QI
mid line = median
End line of box = Q3
Answer:
200 resource books
800 fiction books
400 nonfiction books
Step-by-step explanation:
Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.
We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.
We just need to find out the value of x.
We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.
Written in math language, that is
x + 4x + 2x = 1,400
7x = 1,400
We divide by 7 on both sides and we get
7/7x = 1,400/7
x = 200
Now we replace the x with 200 to know how many books he has of each type:
Resource books = x = 200
Fiction books = 4*x = 4*200 = 800
Nonfiction books = 2*x = 2*200 = 400
Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.
The tape diagram is attached as an image.
