Assuming that the numbers after the variables are exponents: 2(-4)^2 - 2(2)^4 + (3)^2 - (-4)^2 + (2)^4 would be equivalent to
32 - 32 + 9 - 16 + 16
The 32's cancel out and so do the 16's, leaving you with:
9
Factor 14-8m
You need to find which common between 14 and 8m, in this case it is 2
2(7-4m) is your answer
The main part of solving this problem is carefully looking at each and every word of the problem very minutely. The details required for solving the problem is already given in the question.
Let us assume the unknown number to be = x
Then the equation for getting to the unknown number can be written as
8x - 20 = x + 15
8x - x = 15 + 20
7x = 35
x = 35/7
= 5
So from the above deduction we can easily conclude that the unknown number in the question is 5.
<u>Answer-</u>
2, 4, and 8 people will need 1, 2, 4 pounds of turkey respectively.
<u>Solution-</u>
Given in the question, number of pounds of turkey varies directly with the number of people, i.e as the number of people increases or decreases, the pound of turkey also increases or decreases.
Taking,
x = number of people,
y = pounds of turkey.
This condition can be represented as,
As given in the question, when x = 6 y = 3
Now, putting the values of k in the equation, the equation becomes
Now, we can get the values of y or number of pounds of turkey needed by putting the given x or number of people.
All the calculations are shown in the attached table.