Answer: g(x)-f(x)=8x-16
Explanation:
f(x)=-3x+4 (I am assuming "-3+4" is a typo and it is "-3x+4")
g(x)=5x-12
g(x)-f(x)=(5x-12)-(-3x+4)=5x+3x-12-4=8x-16
A table will generally give you an output value for each of several input values. To find the average rate of change over some range of inputs, divide the difference between output values by the difference between input values for the corresponding inputs.
For example, consider the table
input .... output
.. 1 ............ 3
.. 3 ........... -5
The average rate of change between these input values is
... (change in output)/(change in input) = (-5 -3)/(3 - 1) = -8/2 = -4.
Given:
A spinner marked A, B, C is spun then a 6-sided die is rolled.
To find:
The probability of getting a B and then a 6.
Solution:
We know that,
Total possible values for a spinner are 3. So, the probability of getting B, we get
Total possible values for a die are 6. So, the probability of getting 6, we get
Now, the probability of getting a B and then a 6 is
The required probability is 
.
Therefore, the correct option is D.
Kaylas piece is not heavier, is this a trick question?
The correct answer is B because after you simplifiy the expression, you would get that answer:
7x + 3y - 2 + 6x + 1 + y^2
combine all the like terms to one side first
7x + 6x - 2 + 1 + y^2
then simplify
13x - 1 + y^2 or y^2 + 3y + 13x - 1
