Answer:
9 cookies
Step-by-step explanation:
You haven't shared "the given value of x," or, if you have, you haven't drawn attention to it.
Just suppose we were to choose x = 4 as a possible solution and then try to find a value of the parameter k that would make x = 4 an actual solution.
2(4) + 4k - 9 = (4)(4) - (4) + 1
Then 8 + 4k - 9 = 16 - 4 + 1, or 4k - 1 = 13. Then 4k = 14, and k = 14/4, or (after reduction) k = 7/2
If the parameter k equals 7/2, then x = 4 is a solution to the given equation.
To check this out further, start with the proposed solution x = 5 and find k.
Answer:
Option B
Step-by-step explanation:
Step-by-step explanation:
We have the function 
then, by definition:
If 
then the graph is compressed vertically by a factor a.
If 
then the graph is stretched vertically by a factor a
If 
then the graph is reflected on the x axis.
If 
the graph moves vertically upwards d units.
If 
the graph moves vertically down d units.
We know that:
then the graph is stretched vertically by a factor a
and
the graph moves vertically down d units
The searched graph is stretched vertically and its vertex is displaced downwards
The answer is option B
First, find out how many messages are received a second. Do this by dividing messages by 60 seconds.
120/60 = 2 messages a second
now multiply 2 by 150
2*150 = 300messages in 150 seconds
your answer is (3) 300
we know that
The LCD is the LCM (least common multiple) of all the denominators.
we have
So
The LCM of 
is 
,
which is the multiple of the highest power of prime factors from all of the given numbers
therefore
the answer is
