8 / 4 = 2 ;
z^8 / z^4 = z^4 ;
then, 8z^4 / 4z^4 = 2z^4 ;
finally, ( 8z^4 / 4z^4 )^ -4 = ( 2z^4 )^ - 4 = 1 / ( 2z^4 )^4 = 1 / [ 2^4 * ( z^4 )^ 4 ] = 1 / ( 16 * z^16 )
Answer:
b<-35
Step-by-step explanation:
b/5-34<-41
b/5<-41+34
b/5<-7
b<-7*5
b<-35
The linear rule should look like this y=a*x+b
As the function graph goes through the (0,0) point, the equation 0=a*0+b <=> b=0 must be true.
Now we only need to find a, using one of the points given. With (-4, 16):
16=-4*a <=> a=16/-4 <=> a= -4
So the rule looks the following way:
f(x)= -4*x
<h3>
Answer: Median = 7</h3>
=======================================================
Explanation:
Sort the values from smallest to largest. Doing so leads to the list {1,4,6,8,8,9}
Since the set is small enough, you can probably notice that the middle most number is a tie between the 6 and the first 8. The midpoint is (6+8)/2 = 14/2 = 7.
The median is 7.
---------------
If you wanted, you could cross off the first and last items of the set
That means we go from {1,4,6,8,8,9} to {4,6,8,8}
Then repeat to get the smaller set {6,8}
This shows we have a tie between the 6 and 8 as the middle most item, and why 7 is the median (since 7 is the midpoint between 6 and 8).
To find the input value that produces the same output value for the two functions on the graph, it is the x<span> coordinate where the two graphs touch. So, for the given graph above, the value which is on the x coordinate is -2. Thus, the answer is x = -2. </span>