Answer:
6/7
Step-by-step explanation:
The constant rate of change is also know as the slope of the expression
Given
24x-28y=14
Write in standard form y = mx+c
m is the slope
24x-28y=14
-28y = -24x + 14
y = -24x/-28 + 14/-28
y = 6/7 x - 1/2
Compare
mx = 6/7 x
m = 6/7
Hence the constant rate of change is 6/7
The curves
and
intersect at approximately
. The area is then
Answer: A) 35
Step-by-step explanation:
We have the following:
Now, 
is made up of two factors, 
and 
:
So, we have to choose a number for x containing a factor of and or . In this case, the best option is 
:
Hence:
Finally:
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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April Sold 3 children tickets and 60 adult tickets.
Correct me if I'm wrong. ;-;
