Let f (x) = 2x^2+12x-6, give the vertex. HINT: use formula -b/2a, y=f (-b/2a)
1 answer:
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A minute is 6 times as long as 10 seconds, so we expect Karl will ride 6 times as far.
Karl rides 720 ft in 1 minute.
Answer:
To minimize costs, the pounds of giraffe meat are 1,067 and the pounds of gazelle meat are 267.
Step-by-step explanation:
Let
x -----> pounds of meat of giraffe
y -----> pounds of meat of gazelle
we know that
-----> inequality A
-----> inequality B
----> the function cost
using a graphing tool
The solution of the system of inequalities is the shaded area (positive values of x and y between the two solid lines)
see the attached figure
Three vertices of the shaded area are (0,2,400), (1,067,267) and (1,600,0)
Substitute in the function cost and then compare the results
For (0,2,400)
---> It doesn't make sense, because lion food should contain giraffe meat and gazelle meat.
For (1,067,267)
For (1,600,0)
---> It doesn't make sense, because lion food should contain giraffe meat and gazelle meat.
therefore
To minimize costs, the pounds of giraffe meat are 1,067 and the pounds of gazelle meat are 267.
Multiplicity is how many times each root repeats
(x-r1) where r1 is the root
root is 1 of multiplicity 2 means
(x-1)^2
root -2 multiplicity 3 means
(x+2)^3
so the function is
(x-1)^2(x+2)^3
f(x)=(x-1)^2(x+2)^3
expanded
f(x)=
(x-1)^2(x+2)^3
(x-r1) where r1 is the root
root is 1 of multiplicity 2 means
(x-1)^2
root -2 multiplicity 3 means
(x+2)^3
so the function is
(x-1)^2(x+2)^3
f(x)=(x-1)^2(x+2)^3
expanded
f(x)=
(x-1)^2(x+2)^3