Reduce to the lowest terms by canceling -14/9 times -3/7
1 answer:
You might be interested in
Answer:
g(x), f(x) and h(x)
Step-by-step explanation:
Given
Interval: (0,3)
See attachment for functions f(x), g(x) and h(x)
Required
Order from fastest to slowest decreasing average rate of change
The average rate of change is calculated as:
In this case:
i.e.
For f(x)
Calculate f(3) and f(0)
So:
For g(x)
From the table of g(x)
So:
For h(x)
From the graph of h(x)
So:
So, the calculated rates of change are:
By comparison:
From the fastest decreasing to slowest, the order is: <em>g(x), f(x) and h(x)</em>
Diagram attached
Answer:
5.5+106 square inches
Step-by-step explanation:
The wooden frame has different shapes- semi circle, rectangles and we would have to calculate area of all the shapes to get the wood required.
To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =
π(6²-5²)/2= 11π/2
=5.5π square inches
We add area of the semi circle to area of the 3 rectangles from the diagram:
2×1×48×10×1=106 square inches
The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area
Total area =5.5π +106 square inches
Options must have ommitted the "π"
