Answer:
Rate of change = 9
Step-by-step explanation:
m= (y2 - y1) / (x2 - x1)
= (25 - 7) / (4 - 2)
= 18 / 2
= 9
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:
90 possible outcomes.
Step-by-step explanation:
In order to find the total number of combinations possible you simply need to multiply the total number of each options with one another. For example, the number of options in each category are the following
types: 5
toppings: 6
size: 3 (small, medium, large)
Now we simply need to multiply all three of these numbers together to find the total number of possible outcomes.
5 * 6 * 3 = 90 possible outcomes.
132 children + 61 children = 193 children
Unless some of the children who went on Sunday also went on saturday.
From the identity:
the inverse of f is g such that f(g(x))=x,
we must find g(x), such that
![\frac{1}{cos[g(x)]}=x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bcos%5Bg%28x%29%5D%7D%3Dx%20)
thus,
![cos[g(x)]= \frac{1}{x}](https://tex.z-dn.net/?f=cos%5Bg%28x%29%5D%3D%20%5Cfrac%7B1%7D%7Bx%7D%20)
Answer: b. g(x)=cos^-1(1/x)
