Answer:
The two equations are similar because they both end up with the same common value. 0=0 The work you need to show that this is correct will be shown below.
Step-by-step explanation:
2(5m−4)−3(m−5)2=−3m2+40m−83
Add 3m^2 to both sides.
−3m2+40m−83+3m2=−3m2+40m−83+3m2
40m−83=40m−83
Subtract 40m from both sides.
40m−83−40m=40m−83−40m
−83=−83
−83+83=−83+83
0=0
If you have any questions regarding my answer please tell me in the comments, I will come and answer them. Have a good day.
Answer:
a) 0.0821
b) 0.0111
c) 0.0041
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

In all 3 cases, we want P(X > 5). So

In which

(a) lambda=.5


(b) lambda=0.9


(c) lambda=1.1


The vertex is at (4, -49) and the axis of symmetry is at x= 4.
To find the vertex of this equation, use this method:

a=2
b=-16
This will help get your x value and the axis of symmetry. To find the y value of the vertex, insert the x value, 4 to get your y value, -49.
Answer:
48 minutes
Step-by-step explanation: Time taken is distance divided by speed, so 68/85 is 0.8. 0.8 is equal to 4/5. 4/5 of an hour is 48 minutes.