<span>200 < 225 + 80x < 550
The 200 is the amount the Jenna currently have.
225 + 80x is the amount that Jenna has to pay given x number of hours.
550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.
225 + 80x < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours
225 + 80x </span>→ 225 + 80(4) = 225 + 320 = 545
<span>
The number of hours for the sound technician will range from 1 hour to 4 hours.
Assuming they will use 6 hours.
225 + 80(6) = 225 + 480 = 705
705 - 550 = 155
Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.
</span>
Answer:
x = -3/4, 1
Step-by-step explanation:
Factor left side of the equation.
(4x + 3)(x - 1) = 0
Set factors equal to 0.
4x + 3 = 0
4x = -3
x = -3/4
x - 1 = 0
x = 1
Answer:
3: 200, 200
4:800
5:400
Step-by-step explanation:
:)
Answer:
Somewhere around 6 or 9
Step-by-step explanation:
![\sin^2x=2\sin x+3](https://tex.z-dn.net/?f=%5Csin%5E2x%3D2%5Csin%20x%2B3)
![\sin^2x-2\sin x-3=0](https://tex.z-dn.net/?f=%5Csin%5E2x-2%5Csin%20x-3%3D0)
![(\sin x-3)(\sin x+1)=0](https://tex.z-dn.net/?f=%28%5Csin%20x-3%29%28%5Csin%20x%2B1%29%3D0)
which means either
![\sin x=3](https://tex.z-dn.net/?f=%5Csin%20x%3D3)
or
![\sin x=-1](https://tex.z-dn.net/?f=%5Csin%20x%3D-1)
. The equation has no solution, since
![\sin x](https://tex.z-dn.net/?f=%5Csin%20x)
is always bounded between -1 and 1. The second has one solution at
![x=-\dfrac\pi2](https://tex.z-dn.net/?f=x%3D-%5Cdfrac%5Cpi2)
, and any number of complete revolutions will also satisfy this equation, so in general the solution would be
![-\dfrac\pi2+2k\pi](https://tex.z-dn.net/?f=-%5Cdfrac%5Cpi2%2B2k%5Cpi)
where
![k](https://tex.z-dn.net/?f=k)
is any integer.
So you could choose
![A=-\dfrac\pi2](https://tex.z-dn.net/?f=A%3D-%5Cdfrac%5Cpi2)
and
![B=2](https://tex.z-dn.net/?f=B%3D2)
.