Answer:q = - 9 and r = - 10
Step-by-step explanation:
since g(x) is divided by (x - 1) with remainder - 12, then (1) = 4(1)³ + q(1)² + r + 3 = - 12, that is 4 + q + r + 3 = - 12
q + r + 7 = - 12 ( subtract 7 from both sides )
q + r = - 19 → (1)
Since (x - 3) is a factor of g(x), then
g(3) = 4(3)³ + q(3)² + 3r + 3 = 0, that is
108 + 9q + 3r + 3 = 0
9q + 3r + 111 = 0 ( subtract 111 from both sides )
9q + 3r = - 111 → (2)
The 2 equations to be solved simultaneously are (1) and (2)
Multiply (1) by - 3
- 3q - 3r = 57 → (3)
Add (2) and (3) term by term to eliminate r
6q = - 54 ( divide both sides by 6 )
q = - 9
Substitute q = - 9 into (1)
- 9 + r = - 19 ( add 9 to both sides )
r = - 10
Hope the helps!!! ❤️
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Given
See attachment for box
Required
The volume of the box
The number of boxes in each direction represents the length of that dimension.
So, from the attachment
The volume is:
9250 pounds en every ton they are 0.0005
part of the whole painting is gold colored.
<u>Solution:</u>
Given that , In art class, Arthur has created a triangle painting 
of his painting is purple.
He decided he wants to Paint 
of the purple area gold
We have to find what fraction of the whole painting will be painting?
Now, part of whole painting is purple
And, part of the purple area is gold ⇒ part of the part of whole painting is gold
Hence, part of the whole painting is gold colored.
