Answer:
Step-by-step explanation:
Remember that our original exponential formula was y = a b x. You will notice that in these new growth and decay functions, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r). The growth "rate" (r) is determined as b = 1 + r.
An exponential function of a^x (a>0) is always ln(a)*a^x, as a^x can be rewritten in e^(ln(a)*x). By deriving, the term (ln(a)) gets multiplied with a^x. The derivative shows, that the rate of change is similiar to the function itself. For 0<a<1, ln(a) becomes negative and so is the rate of change.
Linear models are used when a phenomenon is changing at a constant rate, and exponential models are used when a phenomenon is changing in a way that is quick at first, then more slowly, or slow at first and then more quickly.
Answer:
x^2-2x-15
Hope this helps!
Answer:
4. none of the above
Step-by-step explanation:
cos(x)=-1 is 180 where value x is.180
Answer:From the attached graphic, Half-life = ln (.5) / k
Half-life =.693147 / 0.1142
= 6.0695884413 days
Step-by-step explanation:The value of "k" should be negative and should have units associated with it.
Answer:
There are 26 purple marbles in the bag.
Step-by-step explanation:
Firstly, you have to make an expression in terms of x where x represent red marbles. Given that the question says purple marbles is 2 more than 3 times the number of red marbles. So the expression is :
Let red marbles = x,
Next, given that the total marbles in the bag is 34 so you have to add both marbles together and solve the value of x :
Lastly, you have to substitute the value of x into the expression of purple marbles :
Let x = 8,
