Answer:
"f(x)
domain: all real numbers, range: all real numbers
f–1(x)
domain: all real numbers, range: all real numbers"
Step-by-step explanation:
We can use the fact that the domain of a function and the range of its inverse are equal.
Also, the range of the function and the domain of its inverse are equal as well.
<em>Looking at the function f(x/ = -x + 5, we see that this is a line with a negative slope of 1 and a y-intercept of +5. </em>
As we know from the graph of lines, there is no restricting values in x and y. So for the original function, domain is the set of all real numbers and the range is the set of all real numbers.
For the inverse, the range is set of all real numbers and domain is also the set of all real numbers.
First answer choice is right.
Since 4 circles are circumscribed by a square, then the side length of the square is 8
So the area of the square is 8^2 = 64
The area of 4 squares is 4 * pi*2^2 = 16pi
So the answer will be 64 - 16pi
Answer:
The half-life of the radioactive substance is 135.9 hours.
Step-by-step explanation:
The rate of decay is proportional to the amount of the substance present at time t
This means that the amount of the substance can be modeled by the following differential equation:
Which has the following solution:
In which Q(t) is the amount after t hours, Q(0) is the initial amount and r is the decay rate.
After 6 hours the mass had decreased by 3%.
This means that 
. We use this to find r.
So
Determine the half-life of the radioactive substance.
This is t for which Q(t) = 0.5Q(0). So
The half-life of the radioactive substance is 135.9 hours.
Answer:
I'm thinking it's 42. Did you notice that there is a pattern?
<span>Given Equation: 2a − 5d = 30
Solution:
2a - 5d = 30
-5d = 30 -2a
d = ( 30 - 2a )/ (-5)
= -6 + (2a/5)
= (2a/5) - 6
I hope this helps</span>
