6 units as a mixed number will get you to 16
Given:
The polynomial
is divided by (x+2).
To find:
The remainder.
Solution:
Remainder theorem: If a polynomial p(x) is divided by (x-c), then the remainder is p(c).
Consider the polynomial:

It is divided by (x+2). So, by the remainder theorem the remainder is p(-2).
Substituting x=-2 in the above polynomial, we get



Therefore, the remainder is -9.
The straight lines mean absolute value
so x = -16 and x = 16
Answer:
See below
Step-by-step explanation:
Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.
To create this equation we will need a regression calculator. The equation will be as follows.
y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )
(b) 2025 - 1900 = 126 years,
y = 0.125873(125) - 7.11916 = $ 8.614965
Minimum Wage : $ 8.614965
Attachment 2 : The rest of the problems can be solved similarly...
(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029
(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³
Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ
(b) 9.08292(1.09965)⁶⁰ =
( About 2713 recommendations )
Answer:
You will need to use simultaneous equations.
Method:
First we need to make one set of variable the same, in this case we will:
-Multiply the top equation by 3 to get 6x
-Multiply the bottom equation by 2 to get 6x
The result will be as follows:
1) 2x+5y=-13 x3
1) 6x+15y=-39
2) 3x-4y=-8 x2
2) 6x-8y=-16
Now we will make both equations equal to 6x:
1) 6x=-15y-39
2) 6x=8y-16
Now because they both equal 6x, they therefore equal each other:
-15y-39=8y-16
-23=23y
y=-1
Now that we have y, we can substitute it back into one of the equations to get x:
1) 2x+5(-1)=-13
2x-5=-13
2x=-8
x=-4