Answer:
2(5x-3y-1)
Step-by-step explanation:
perimeter of a rectangle formula:
2l+2w
l=length(2x-3y)5x
w=width(3x-1)
2(2x-3y)+2(3x-1)
4x-6y+6x-2
10x-6y-2
2) all of these numbers have a gcf of 2 so lets divide this equation by 2:
2(5x-3y-1)
hope this helps!
Answer:
y=ln(x/(1-x))
Step-by-step explanation:
y=e^x/(1+e^x)
Cross multiply
y(1+e^x)=e^x
Distribute
y+ye^x=e^x
Put anything with x on with side and everything without x on opposing side:
y=e^x-ye^x
Factor right hand side
y=(1-y)e^x
Divide both sides by (1-y)
y/(1-y)=e^x
Use natural log.
ln(y/(1-y))=x
The inverse is
y=ln(x/(1-x))
Answer:
A-B really simple.
Step-by-step explanation:
Answer: 1/12
Step-by-step explanation:
Your outcome, 2H, divided by the total size of the output set. Thus gives you probability 1/12
Multiply the probability of Heads P(x=H | coin) = 1/2 . The probability of 2 P(x=2 | Die) = 1/6. Multiply 1/2(1/6) = 1/12.
Answer:
12 years and 16 years
Step-by-step explanation:
their ages are in the ratio 3 : 4
let Anjali = 3x and Aditya = 4x ← present ages
In 8 years then
Anjali = 3x + 8 and Aditya = 4x + 8, hence
3x + 8 + 4x + 8 = 44 ← sum of their ages in 8 years
7x + 16 = 44 ( subtract 16 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
Anjali is 3x = 3 × 4 = 12 years old and Aditya = 4x = 4 × 4 = 16 years old
