Full question attached
Answer:
Greenland offers the lowest unit rate, dollars per pound
Step-by-step explanation:
For McCoy, $4.5 = 5 pounds
Therefore $1 = 5pounds/4.5= 1.11 pounds
1 pound= 1/1.11= $0.9009
For Eat smart
$3=2 pounds
Therefore $1=2pounds/3 = 0.667 pounds
1 pound = 1/0.667= $1.499
For Greenland
$1/5= 1/4 pounds
$0.2=0.25 pounds
$1= 1.25 pounds
Therefore 1 pound= 1/1.25= $0.8
For Mother Nature
$0.95= 1 pound
Therefore Greenland offers the lowest unit rate at $0.8 per pound
Pythagorean
Theorem as follows: A^2+B^2=C^2
x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Step-by-step explanation:
We need to solve the equation and find values of x.
Solving:
Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)
Multiply the entire equation with x(x-1)
Now, factoring the term:
The values of x are x=1 and x=2
Checking for extraneous roots:
Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.
If we put x=1 in the equation, the denominator becomes zero i.e
which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.
If we put x=2 in the equation,
So, x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Keywords: Solving Equations and checking extraneous solution
Learn more about Solving Equations and checking extraneous solution at:
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You can solve this by solving the equation given for x, this will tell you the range of numbers that would make the inequality true.
7x + 1 >= 8
7x >= 8-1
7x >= 7
x >= 7/7
x >= 1
So, x would have to be greater than or equal to 1. Given the set of numbers in the problem; the numbers 1, 3, 6 would satisfy the inequality. The answer is (A).