Answer:
-5
Step-by-step explanation:
x² - 4x - 45 = 0
(x - 9)(x + 5) = 0
x = 9 or -5
x² - 25 = 0
(x + 5)(x - 5) = 0
x = 5 or -5
-5 is a common factor between both of them
Answer:
n-8
Step-by-step explanation:
The difference between a number and 8
Difference is subtraction
Let the number be n
n-8
So first do 3(x+1) which is 3x+3 because you have to multiply the outside number by the stuff in side the parentheses. Then you do the 5(x-2)+7 and it should be 5x-10+7 so now your equation should be 3x+3=5x-10+7 now subtract the 3x from the 5x and now your equation should look like this: 3=2x-10+7. Then you add the 10 and the 7 so now your equation should look like this: 3=2x-3 because it's a -10 and a positive 7 it would be -3. So then you have to add the -3( which now becomes positive to the other 3 in front of the = sign. So now your equation should look like this: 6=2x. Now divide by 2 to get x by its self and now your answer should be 3=x or x=3.
Given that the concentration has been modeled by the formula:
C(t)=50t/(t^2+25)
where:
t is time in hours.
The concentration after 5 hours will be given by:
t= 5 hours
plugging the value in the equation we get:
C(5)=(50(5))/(5^2+25)
simplifying the above we get:
C(5)=250/(50)=5 mg/dl
Answer: 5 mg/dl
Answer
Exponential function is in the form of : 
.....[1]
where a is the initial amount and r is the growth rate and (1+r) is the growth factor.
Given the function: 
On comparing with equation [1] we have;
Initial amount(a) = 12
1+r = 1.05
Subtract 1 from both sides we get;
or 5%
Growth (r) = 0.05 or 5%
Now, evaluate the function for t = 5 we have;
Substitute the value of t=5 in the given function we have;
Therefore, the value of function when t=5 to the nearest tenth is 15.3
