Collecting like terms,
Since the signs change when its position changes.
Answer:
The average rate of change for f(x) from x=−1 to x = 4 is, 1
Step-by-step explanation:
Average rate A(x) of change for a function f(x) over [a, b] is given by:
As per the statement:
we have to find the average rate of change from x = -1 to x = 4
At x = -1
and
at x = 4
Substitute these in [1] we have;
⇒
⇒
Simplify:
A(x) = 1
Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1
Answer:
(-6,4)
Step-by-step explanation:
1/3x − 2 = x + 2 is obtained by equating the following two functions:
y = (⅓)x - 2
y = x + 2
Graph:
Draw two straight lines
1) joining (0,-2) and (6,0)
2) joining (0,2) and (-2,0)
On the graph, you'll see that the above two lines intersect at: (-6,4)
Hence the solution is (-6,4)
The exponential model has an initial value of 3
The exponential model of the data is f(x) = 3 * (1.2)^x
<h3>How to determine the exponential model?</h3>
From the complete question,we have the following parameters:
- Initial value, a = 3
- Growth rate, r = 0.2
The exponential model is then calculated as:
f(x) = a * (1 + r)^x
Substitute known values
f(x) = 3 * (1 + 0.2)^x
Evaluate the sum
f(x) = 3 * (1.2)^x
Hence, the exponential model of the data is f(x) = 3 * (1.2)^x
Read more about exponential models at:
brainly.com/question/7296382
Answer: 5
Step-by-step explanation:
If;
5 gallons = $12.50 / 5 = $2.50/gallon
11 gallons = $26.40 / 11 = $2.40/gallon
In conclusion, 5 gallons cost more per gallon than 11.
