Answer:
<h2><u><em>
f = 27/4</em></u></h2>
Step-by-step explanation:
in the picture
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
This ordered pair makes both statements true, so A, B, and D are all the correct answers!
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
The length is 3x + 7
The width is 2x + 2
The perimeter is
<h3>2( 3x + 7) + 2( 2x + 2)</h3>
Simplify
6x + 7 + 4x + 4
Group like terms
6x + 4x + 7 + 4
We have the final answer as
<h3>10x + 11</h3>
Hope this helps you
6 because if she put 6 books in 6 boxes, you the books would be equally split and 6 books in 6 boxes would equal 36 books