Given the following points:
(1, 4): (2, 2.5): (3, 1) and (4, -0.5).
We are asked to find the average rate of change of the sequence.
The average rate of change for the sequence is the slope and it can be solved using the slope formula.
Slope (m) = y2 - y1
x2 - x1
So, lets choose two points on the line and substitute into the formular.
(1, 4) and (2, 2.5)
where:
x1 = 1
x2 = 2
y1 = 4
y2 = 2.5
m = 2.5 - 4
2 - 1
m = -1.5/1
m = -1.5
m = -1 1/2
Therefore, the correct option is the second option.
Answer:
- 18x - 9 = 72
- 3(6x - 3) = 72
- x = 45
Step-by-step explanation:
Apply the distributed property:
- Apply the distributed property: 3/5 × 30x = 18x, 3/5 × 15 = 9
- Re-write the equation: 18x - 9 = 72
- 18x - 9 = 72 is an option listed, so that's one of the answers.
See the other options:
- Another option that looks like it could be the answer is 3(6x - 3) = 72
- Apply the distributed property like we did above, so it now looks like this: 18x - 9 = 72
- This is the same as what we got above, so it is also an answer.
Solve:
- Add 9 to each side, so it now looks like this: 18x = 81
- Divide each side by 18 to cancel out the 18 next to x. It should now look like this: x = 4.5
- x = 45 is an option listed, so that's one of the answers.
I hope this helps!
The result can be shown in both exact and decimal forms.Exact Form:<span><span>−<span>14</span></span><span>-<span>14</span></span></span>Decimal Form:<span>−<span>0.25
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Step-by-step explanation:
Use the following information to answer the next 14 exercises: The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student. n=
