One the first problem on finding the constant of <span> proportionality in this situation the answer is 2. Below is the solution:
constant = unit rate
unit rate = $2/ poung
K = 2
For the second question, the equation is the below:
T = 2p or y = 2x</span>
Answer:
10. ( 7x + 2 ) × ( 5x + 1 )
Step-by-step explanation:
1. 35x² + 10x + 7x + 2
2. 5x × ( 7x + 2 ) + 7x + 2
3. ( 7x + 2 ) × ( 5x + 1 )
Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51