Answer:
Use the associative property to move the parentheses, and the expression becomes (d + 8d) + 1 + 7. Combine like terms, and the expression becomes 9d +8. Use the commutative property to change the order of the terms, and the expression becomes 8 + 9d.
Step-by-step explanation:
Due to length restrictions, we kindly invite to see the explanation below to know the answer with respect to each component of the question concerning linear equations.
<h3>How to determine a linear equation describing the daily distance of a runner</h3>
In this question we need to derive an expression of the <em>daily</em> distance as a function of time. Now we proceed to complete the components:
- <em>Linear</em> equations have an <em>independent</em> variable (t - time) and a dependent variable (x - daily distance).
- We notice that the daily distance increases linearly in time, then then we have the following pattern:
t 1 2 3 4 5 6
x 2 2.5 3 3.5 4 4.5 - The equation that represents the n-th term of the sequence is x(n) = 2 + 0.5 · (n - 1).
- The week when Susie will run 10 miles per day is:
10 = 2 + 0.5 · (n - 1)
8 = 0.5 · (n - 1)
n - 1 = 16
n = 17
Susie will run 10 miles per day in the 17th week. - It is not reasonable to think that pattern will continue indefinitely as it is witnessed in the difficulties experimented by <em>fastest</em> runners in the world to increase their <em>peak</em> speeds.
- A marathon has a distance of 26 miles, then we must solve the following equation:
26 = 2 + 0.5 · (n - 1)
24 = 0.5 · (n - 1)
48 = n - 1
n = 49
Susie should start her training 49 weeks before the marathon.
To learn more on linear equation: brainly.com/question/11897796
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1/10 divided by 250/1 = 1/2500
So, the answer is 1/2500
Answer:
GCF = 5
Step-by-step explanation:
15x² - 10x + 5
x is not contained in all 3 terms thus is not a factor
15 has factors 1, 3, 5, 15
- 10 has factors ± 1, ± 2, ± 5 , ± 10
5 has factors 1, 5
The common factors are 1, 5
Then GCF = 5
Answer:
The corresponding ordered pair would be (0, -6/7)
Step-by-step explanation:
To find this, you can locate the x value inside of the parenthesis next to the function symbol.
You can find the y value as the answer to the question.
