Answer:
2x^2 -x +1 = 0
Step-by-step explanation:
For roots α and β, the original equation can be factored as ...
f(x) = 2(x -α)(x -β)
If we add 1 to each of those roots, the factors become ...
g(x) = 2(x -(α+1))(x -(β+1))
This can be rearranged to be ...
g(x) = 2((x -1) -α)((x -1) -β)
That is, we can get the desired equation by replacing x with x-1, effectively shifting the function right one unit.
2(x -1)² +3(x -1) +2 = 0
2x^2 -x +1 = 0
Answer:
The markup rate on each box=41%
Step-by-step explanation:
The markup rate is the additional price that a good is sold at expressed as a percentage. This can be expressed as;
R={(S-C)/C}×100
where;
R=markup rate
S=selling price
C=cost
In our case;
R=unknown
S=$20.50
C=$14.50
replacing;
R={(20.5-14.5)/14.5}×100
R=(6/14.5)×100
R=41.38% rounded off=41%
The markup rate on each box=41%
Area = Length x Width
The Length is 2 inches
The Width is 5/6 inches
2 * (5/6) = 10/6
simplify and you get....
5/3
Erik will pay $18.75 for the cashews.