The last description actually clarifies the given equation. The equation should be written as: f(x) = 2ˣ +1. The x should be in the exponent's place.
The average rate of change, in other words, is the slope of the curve at certain points. In equation, the slope is equal to Δy/Δx. It means that the slope is the change in the y coordinates over the change in the x coordinate. So, we know the denominator to be: 2-0 = 2. To determine the numerator, we substitute x=0 and x=2 to the original equation to obtain their respective y-coordinate pairs.
f(0)= 2⁰+1 = 2
f(2) = 2² + 1 = 5
So, the slope is equal to:
Average rate of change = (5 - 2)/(2 - 0)
Average rate of change = 3/2 or 1.5
Answer:
-2
Step-by-step explanation:
Answer:
The volume would be 12 inches.
Step-by-step explanation:
Volume is LxWxH
for the lower box, I did
4x2x1=8
For the top half
2x2x1=4
Then i added them together
8+4= 12
Answer:
1: x = -1
2: x = 3
3: x = -3
Step-by-step explanation:
f(x)=<u>x^3+x^2</u>−9x−9
f(x)=x^2<u>(</u>x+1) <u>−9x−9</u>
f(x) = x^2<u>(x+1)</u> - 9<u>(x+1)</u>
f(x)= (x+1)<u>(x^2-9)</u>
f(x) =(x+1)(x-3)(x+3)
Answer:
A) Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Step-by-step explanation:
The y-intercept for Sandra is 55 and the slope is -5. While Jenny's y-intercept is 50 and slope is -6.
6 is a greater number therefore causing Jenny's slope to decrease faster causing her to have less money at a much faster rate. (rate of change=slope) Jeny's slope is decreasing at a faster rate of change because she is spending more money everyday than Sandra is.
Hope this helps! Have a great day! :)
