Answer:
Step-by-step explanation:
㏒ 3+㏒(x+2)=1
㏒3(x+2)=1
3(x+2)=10^1
3x+6=10
3x=10-6=4
x=4/3
so A
3.
![log_{2}x+log_{2}(x+2)=3\\or~log_{2}[x(x+2)]=3\\x(x+2)=2^3\\x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x+4)(x-2)=0\\x=2,-4\\x=-4 ~is~an~extraneous~solution.\\B](https://tex.z-dn.net/?f=log_%7B2%7Dx%2Blog_%7B2%7D%28x%2B2%29%3D3%5C%5Cor~log_%7B2%7D%5Bx%28x%2B2%29%5D%3D3%5C%5Cx%28x%2B2%29%3D2%5E3%5C%5Cx%5E2%2B2x-8%3D0%5C%5Cx%5E2%2B4x-2x-8%3D0%5C%5Cx%28x%2B4%29-2%28x%2B4%29%3D0%5C%5C%28x%2B4%29%28x-2%29%3D0%5C%5Cx%3D2%2C-4%5C%5Cx%3D-4%20~is~an~extraneous~solution.%5C%5CB)
Answer:
Perpendicular ⇒
m = -1/-4 = 1/4
g(x) = (1/4)x + b
3/4 = (1/4)(5) + b
b = -1/2
g(x) = (1/4)x - 1/2
Step-by-step explanation:
Answer: $49.78
Step-by-step explanation: $15.75 + $28.79 + $5.24 = $49.78
Answer:
y=27 when x=2
Step-by-step explanation:
y varies inversely as the cube of x
y=k(1/X^3)
y=1 when x=6
y=k(1/X^3)
1=k(1/6^3)
1=k(1/216)
k=1÷1/216
K=1×216/1
k=216
find y when x=2
y=k(1/X^3)
y=216(1/2^3)
y=216(1/8)
y=216/8
y=27
Answer:
x=(y+9)/(1+2w)
Step-by-step explanation:
x-9+2wx=y
We make x the subject
x+2wx=y+9
x(1+2w)=y+9
Divide both sides by (1+2w)
x(1+2w)/(1+2w)=y+9(1+2w)
x=(y+9)/(1+2w)
