2(n+4) + 6 = (1/2)(3-n)
Then 2n + 8 + 6 = 3/2 - n/2
and 2n + 14 = 3/2 - n/2
(5/2)n = 3/2 - 28/2 = -25/2
-25/2
n = -------------- = -5 (answer)
5/2
The sequence is -3, -3, +3, +3
the next number is -3
Answer: The rational expression that is needed is z^5/8.
In the problem, we are starting with 4z^5/7 and multiply by something. Then, we have z^10/14.
First, let's deal with the variables. We go from z^5 to z^10, so we had to multiply by z^5.
Second, our fraction went from 4/7 to 1/14, the missing factor would be 1/8 because 4/7 times 1/8 equals 1/14.
Answer:
x=7
Step-by-step explanation:
since the ray bisects we know <CAT and <TAR are equal
so we can set up the equation like this: <CAT + <CAT = <CAR
(5x)+(5x)=(9x+7)
calculate equation and you'll get x=7
The problem is stating that Mandy found the ratio between input and output of many points on the graph, which are displayed by the fractions. Mandy's conclusion was that they were not equivalent, meaning they were different and that is why the function is not proportional. Mandy's conclusion is wrong, the relation is proportional. If we take all the functions we have:

Where the input is the denominator and the output is the numerator we will have a ratio of "5". Mandy's mistake was to invert the last fraction, she inserted the output in the denominator, this is why she said the were different.