Answer: 4th table
Step-by-step explanation:
Each time x increases by 1, y increases by 2. Since there is a constant increase in y for each time x increases by 1, the table represents a linear function.
Answer:

Step-by-step explanation:
Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.
Because the total is $75 and Theresa is tipping $6, she is tipping
of the total. To convert this to a percentage, multiply by 100: 
The LCD is 30. The fractions would be 9/30 and -8/30
Answer: - 49
Step-by-step explanation:
f(x) = -2x - 1
g(x) =
- 1
fg(x) = f (
- 1) , we just put in the value of g(x) , the next thing is to substitute
- 1 for the value of x in f(x) , that is
fg(x) = -2(
- 1) - 1
fg(x) = -2
+ 2 - 1
fg(x) = -2
+ 1
Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is
fg(-5) = -2 (
+ 1
fg(-5) = -2(25) + 1
fg(-5) = -50 + 1
fg(-5) = -49
Answer:
The discovery of new resources can cause the LRAS curve to move.
Step-by-step explanation:
In the short-run, a new resource will not impact supply
Like the supply for maritime transportation when the steam-engine were invented.
At the beginning of the industrial revolution, the ship keep relying on sails. But, as time passes, the adoption of the new resource and method of production push the Long Run Aggregate Supply. As more transportation was possible with steam-engine using coal.
That will be the case for an improvement in the method of production. Then, following the same example, a change in a better quality of the resource like, replacing the coal engines with diesel engine generates an improvement in the quantity supplied as it is more efficient and can be used