Answer:
y=-6
Step-by-step explanation:
1. plug in the values, it will be y=4/3(-6) + 2
2. simplify
y=-24/3 + 2
y=-8+2
y=-6
I hope this helped, and if it did, please mark this as brainliest! thanks
Answer:
1.1.1- Michael has 200 lovebirds in total
1.1.2- There are 40 birds in each cage
1.1.3- 120/80 = 3/2
Step-by-step explanation:
120+80=200
200÷5=40
120÷40=3, 80÷40=2
Answer:
Inequality: 0.08x + 2300 ≥ 2800
Liz needs to sell products of $6250 at least.
Step-by-step explanation:
Given that:
Per month salary of Liz = $2300
Commission = 8% =
= 0.08
Amount Liz wants to earn = $2800
Let,
x be the amount of sales.
0.08x + 2300 ≥ 2800
0.08x ≥ 2800 - 2300
0.08x ≥ 500
Dividing both sides by 0.08
![\frac{0.08x}{0.08}\geq \frac{500}{0.08}\\x\geq 6250](https://tex.z-dn.net/?f=%5Cfrac%7B0.08x%7D%7B0.08%7D%5Cgeq%20%5Cfrac%7B500%7D%7B0.08%7D%5C%5Cx%5Cgeq%206250)
Hence,
Liz needs to sell products of $6250 at least.
Answer:
![b=\frac{32}{3}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B32%7D%7B3%7D)
Step-by-step explanation:
![\frac{3}{4}b=8](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7Db%3D8)
Multiply both sides by 4:
![4\times \frac{3}{4}b=8\times4](https://tex.z-dn.net/?f=4%5Ctimes%20%5Cfrac%7B3%7D%7B4%7Db%3D8%5Ctimes4)
![3b=32](https://tex.z-dn.net/?f=3b%3D32)
Divide both sides by 3:
![\frac{3b}{3}=\frac{32}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3b%7D%7B3%7D%3D%5Cfrac%7B32%7D%7B3%7D)
![b=\frac{32}{3}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B32%7D%7B3%7D)
Answer:
A, C
Step-by-step explanation:
Actually, those questions require us to develop those equations to derive into trigonometrical equations so that we can unveil them or not. Doing it only two alternatives, the other ones will not result in Trigonometrical Identities.
Examining
A) True
![\frac{1-tan^{2}x}{2tanx} =\frac{1}{tan2x} \\ \frac{1-tan^{2}x}{2tanx} =\frac{1}{\frac{2tanx}{1-tan^{2}x}}\\ tan2x=\frac{1-tan^{2}x}{2tanx}](https://tex.z-dn.net/?f=%5Cfrac%7B1-tan%5E%7B2%7Dx%7D%7B2tanx%7D%20%3D%5Cfrac%7B1%7D%7Btan2x%7D%20%5C%5C%20%5Cfrac%7B1-tan%5E%7B2%7Dx%7D%7B2tanx%7D%20%3D%5Cfrac%7B1%7D%7B%5Cfrac%7B2tanx%7D%7B1-tan%5E%7B2%7Dx%7D%7D%5C%5C%20tan2x%3D%5Cfrac%7B1-tan%5E%7B2%7Dx%7D%7B2tanx%7D)
Double angle ![tan2\alpha =\frac{1 -tan^{2}\alpha }{2tan\alpha}](https://tex.z-dn.net/?f=tan2%5Calpha%20%3D%5Cfrac%7B1%20-tan%5E%7B2%7D%5Calpha%20%7D%7B2tan%5Calpha%7D)
B) False,
No further development towards a Trig Identity
C) True
Double Angle Sine Formula ![sin2\alpha =2sin\alpha *cos\alpha](https://tex.z-dn.net/?f=sin2%5Calpha%20%3D2sin%5Calpha%20%2Acos%5Calpha)
![sin(8x)=2sin(4x)cos(4x)\\2sin(4x)cos(4x)=2sin(4x)cos(4x)](https://tex.z-dn.net/?f=sin%288x%29%3D2sin%284x%29cos%284x%29%5C%5C2sin%284x%29cos%284x%29%3D2sin%284x%29cos%284x%29)
D) False No further development towards a Trig Identity
![[sin(x)-cos(x)]^{2} =1+sin(2x)\\ sin^{2} (x)-2sin(x)cos(x)+cos^{2}x=1+2sinxcosx\\ \\sin^{2} (x)+cos^{2}x=1+4sin(x)cos(x)](https://tex.z-dn.net/?f=%5Bsin%28x%29-cos%28x%29%5D%5E%7B2%7D%20%3D1%2Bsin%282x%29%5C%5C%20sin%5E%7B2%7D%20%28x%29-2sin%28x%29cos%28x%29%2Bcos%5E%7B2%7Dx%3D1%2B2sinxcosx%5C%5C%20%5C%5Csin%5E%7B2%7D%20%28x%29%2Bcos%5E%7B2%7Dx%3D1%2B4sin%28x%29cos%28x%29)