Log_10 100 is the same as 10 to the x power is 100
10^x=100
10^2=100
the answer is 2
1. The two equations follow the slope-intercept form which y=mx + b. They have the same y-intercept which is equal to 900.
2. Suppose x= 10
Plan Alpha: y=-7x+900=-7(10)+900=830
Plan Foxtrot: y = -17x+900 = -17(10)+900=730
Between the 2 plans, the lower value is 730. Plan Foxtrot is better for reduction of pollution.
3. The city council should choose Plan Foxtrot because the reduction of pollution is much greater. Their goal would be reached faster if they go with faster reduction of pollution.
Find the concavity changes of f(x).
Give the x-coordinates.
So, the answer to the multiple choice question is -1 and 5 since those points are where f''(x) changes sign.
Note: You can tell that you're supposed to find the concavity changes of f(x) and not f''(x) because from the graph it's obvious that the concavity of f"(x) doesn't change.