Answer:
-4<x<1/3
Step-by-step explanation:
3x²+11x+5<9
3x²+11x-4<0.
First we determine the solutions of
3x²+11x-4=0
Delta=11²-4×3×(-4)=121+48=169=13²
The roots are
x1=(-11-13)/6=-24/6=-4
x2=(-11+13)/6=2/6=1/3
So, we have:
3x²+11x-4=3(x-⅓)(x+4)=(3x-1)(x+4)
So, coming back to our inequality:
(3x-1)(x+4)<0, we note (as we already know) that this condition is satisfied for all those x located between the roots: -4<x<1/3
The equation of parabola is
.
The canonical equation of parabola is
and this parabola has branches that go in positive direction of x-axis.
Since in your equation x is changed to y and y to x, then the <span>branches of the parabola go in positive y-axis direction, the vertex is placed at the origin.
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1)
We calculate the total number of new light fixtures.
Total number of new light fixtures=(24 new fixtures/1 floor)(4 floors)=
=96 new fixtures.
2)
We calculate the total number of work hours
20 minutes=20 minutes * (1 hour/60 minutes)=1/3 hour.
1 electrician-----------1/3 hour----------1 new fixture
2 electricians---------- x ------------96 new fixtures
1 elec.*1/3 hour*96 nex fixtures=2 elect. * x * 1 new fixture.
x=(1 elec. *1/3 hour * 96 nex litght fixtures) / (2 elect.* 1 new fixture)=
=16 hours.
3)
We calculate the total number of days that it take two electricians to complete the installations.
1 day-------------8 work hours
x------------------16 work hours
x=(1 day* 16 work hours) / (8 work hours)=2 days
Answer: 2 days.
Answer:
this is my 50th time seeing you
Step-by-step explanation: