Answer:
415 books, I dont understand the second question, sorry
Step-by-step explanation:
1 small box=20 books
1 big box=45 books
5 small boxes×20 books= 100 books
7 large boxes×45 books= 315 books
315 books+100 books=415 books
Answer:
Find a polynomial function whose graph passes through (6,13), (9,-11), (0,5)
1 Answers
Assuming a quadratic, we have that
y = ax^2 + bx + c
Since (0,5) is on the graph, c =5
And we have the remaining system
a(9)^2 + b(9) + 5 = -11
a(6)^2 + b(6) + 5 = 13 simplify
81a + 9b = -16 multiply through by 6 ⇒ 486a + 54b = - 96 (1)
36a + 6b = 8 multiply through by -9 ⇒ -324a -54b = -72 (2)
Add (1) and (2)
162a = -168
a = -28/27
To find b we have
36 (-28/27) + 6b = 8
-112/3 + 6b = 8
⇒ b = 68/9
The function is
y = - (28/27)x^2 + (68/9)x + 5
Answer: 
= 0.89
Step-by-step explanation:
Coefficient of determination is represented by . This tells us that how much of the variation in the dependent variable is explained by the independent variable.
It is the ratio of explained variation by the independent variables to the total variation in the dependent variable.
Hence,
Coefficient of determination = 
= 
= 0.89
∴ 89% of the variation in the dependent variable is explained by the independent variables.
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
12 square inches
Step-by-step explanation:
The area is given by the formula ...
A = 1/2bh
Here, the base is 6 inches and the height is given as 4 inches. Then the area is ...
A = (1/2)(6 in)(4 in) = 12 in²
The area of the triangle is 12 square inches.
_____
<em>Comment on the problem</em>
Since you are given the base and height, we presume you are intended to use the formula above. You are also given all three side lengths. If you use the appropriate formula with those, you find the area is about 15.6 square inches. (The height of this triangle is actually closer to 5.2 inches.)
The figure represents a geometry that cannot exist. With the given base and height, the side lengths should be 5, not 6.
