Answer:
(-6,5)
Step-by-step explanation:
we have
y=f(x) ----> the parent function
y=1/2f(x) ---> the new y-value will be 1/2 times the original value
The rule of the transformation of f(x) to 1/2f(x) is
(x,y) -----> (x,y/2)
substitute the given value
(-6,10) ------> (-6,10/2)
(-6,10) ------> (-6,5)
Answer:
Step-by-step explanation:
The circle is divided into 5 sections. The probability that the needle lands on a particular color is equally likely.
So,

Probability of not blue = 1 - Probability of blue

(x^1/2 y^-2/3)^-6
= x^(1/2*-6) y^[(-2/3) *(-6)]
= x^-3 y ^4
= y^4 / x^3
answer is D. y^4 / x^3
Answer:
There are 14,400 possible ways to do this
Step-by-step explanation:
Here, we have a selection problem. What to use is combination obviously.
For a combination problem, we would be selecting a specific number from a given total. For a case where we have n number of things and we are looking for how many ways to select r number of things, this can be done in nCr ways and this is mathematically equal to n!/(n-r)!r!
For the Diet coke, she has 10 bottles and want to select 3 for tasting, the number of ways she can do this is mathematically equal to 10C3. Computationally this is equal to ;
10!/(10-3)!3! = 10!/7!3! = 120 ways
For the coke zero, we have the same pattern, selecting a total number of 3 out of 10. This means the same 10C3 with the answer being 120 ways also.
Now, the number of ways of selecting from both would be a multiplication of both answers which is 120 ways * 120 ways = 14,400 ways
Answer:
add 8
Step-by-step explanation:
-11 + 8 = -3
-3 + 8 = 5
5 + 8 = 13