Answer:
Yes this is a proportional relationship.
Equation is;
D=20T
Step-by-step explanation:
A horse run;
800m in 40 seconds
1200m in 60 seconds
and
480m inn 24 seconds
800m ÷ 40s = 1200m ÷ 60s = 480m ÷ 24s = 20
The equation here is Distance(D) = 20 × Time(T)
D=20T
It implies that the distance of the horse is directly proportional to the time it takes to run.
The <em>approximate</em> solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).
<h3>How to find an approximate solution of a one-variable equation</h3>
The solution of the equation is between x = 4 and x = 5. Now we begin by evaluating each side of the expression (f(x) = x² - 5 · x + 4, g(x) = 2 / (x - 1)) at the average of x = 4 and x = 5.
x = (4 + 5) / 2
x = 4.5
f(4.5) = 4.5² - 5 · 4.5 + 1
f(4.5) = - 5 / 4
g(4.5) = 2 / (4.5 - 1)
g(4.5) = 4 / 7
The solution of the equation is between x = 4.5 and x = 5, then we evaluate at the average:
x = (4.5 + 5) / 2
x = 4.75
f(4.75) = 4.75² - 5 · 4.75 + 1
f(4.75) = - 3 / 16
g(4.75) = 2 / (4.75 - 1)
g(4.75) = 8 / 15
The solution of the equation is between x = 4.75 and x = 5, then we evaluate at the average:
x = (4.75 + 5) / 2
x = 4.875
f(4.875) = 4.875² - 5 · 4.875 + 1
f(4.875) = 25 / 64
g(4.875) = 2 / (4.875 - 1)
g(4.875) = 16 / 31
The <em>approximate</em> solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).
To learn more on successive approximations: brainly.com/question/27191494
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Answer:

Step-by-step explanation:
The given function is

To find k(-5), we put x=-5 into the given function to get;

Multiply out to obtain;

This is the same as;

This simplifies to

Answer:
0.66666666666 as a decimal
How much is the decimal number 0.66666666666 written as (converted to) a percentage? Answer: 66.666666666%
Let the numbers be m and n. Then "<span>five times the quotient of two numbers" would be 5m/n.
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