Answer:
x= 9
y= 4
Step-by-step explanation:
The blue triangle is double the size of green so
2+2=4
18/2=9
(-1,-5) is the answer top left.
Answer:
It is proved that 
.
Step-by-step explanation:
Given functions are,
To show,
Consider,
now if,
then 
then 
Hence the reslt.
Answer:
1845 years
Step-by-step explanation:
Decay of Carbon-14 is usually modeled by an exponential function. It x is the number of years since the original amount was brought into existence, then the fraction remaining (y) is modeled by ...
... y = (1/2)^(x/5730)
We want to find the value of x when y = 80% = 0.80. The equation is then ...
... 0.80 = 0.50^(x/5730)
Taking logarithms, we get
... log(0.80) = (x/5730)·log(0.50)
Multiplying by the inverse of the coefficient of x, we have
... x = 5730·log(0.80)/log(0.50) ≈ 1845 . . . . years
If you use these equations and notes listed in the picture above, you can see that the only possible answer that stays true to the problem will be A.
