Answer:
3x and 2x can be combined bc it has ex at the end.
1 and 2x cannot be combined bc 1 doesn't have an x.
1 and -5 can be combined
<span>What is the next step in the proof? Choose the most logical approach. Statement: ∠1≅∠8 and ∠2≅∠7 Reason: Congruent Supplements Theorem Statement: m∠3+m∠4=180° and m∠7+m∠8=180° Reason: Linear Pair Theorem Statement: m∠3+m∠5=180° and m∠4+m∠6=180° Reason: definition of supplementary angles Statement: ∠7≅∠6 and ∠8≅∠5 Reason: Vertical Angles Theorem Done </span>
For a smoothing constant of 0.2
Time period – 1 2 3 4 5 6 7 8 9 10
Actual value – 46 55 39 42 63 54 55 61 52
Forecast – 58 55.6 55.48 52.18 50.15 52.72 52.97 53.38 54.90
Forecast error - -12 -.6 -16.48 – 10.12 12.85 1.28 2.03 7.62 -2.9
The mean square error is 84.12
The mean forecast for period 11 is 54.38
For a smoothing constant of 0.8
Time period – 1 2 3 4 5 6 7 8 9 10
Actual value – 46 55 39 42 63 54 55 61 52
Forecast – 58 48.40 53.68 41.94 41.99 58.80 54.96 54.99 59.80
Forecast error - -12 6.60 -14.68 0.06 21.01 -4.80 0.04 6.01 -7.80The mean square error is 107.17
The mean forecast for period 11 is 53.56
Based on the MSE, smoothing constant of .2 offers a better model since the mean forecast is much better compared to the 53.56 of the smoothing constant of 0.8.
Answer:
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Explanation:
The complete question is:
<em>Between the time iko woke up and lunchtime, the temperature rose by 11º. Then by the time he went to bed, the temperature dropped by 14º.</em>
<em />
<em>Write an addition expression for the temperature relative to when iko woke up. </em>
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<h2>Solution</h2>
It is said that between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. A rise means the temperature increased and you must add 11º.
Then, relative to when Iko woke up the temperature is:
Then, by the time Iko went to bed, the temperature dropped by 14º. A drop means that the change is negative. This means that you must add a negative number, and the additive expression is:
If you want the overall change in temperature you do the operation:
- 11 + (-14) = 11 - 14 = - 3. A net decrease of 3º.
But the answer to this question is the additive expression:
Answer:
x=16, y=-4
Step-by-step explanation:
-1(x-y=12)
x+7y=-20
-x+y=-12
x+7y=-20
8y=-32
y=-4
x-4=12
x=16
