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:
140p calories
Step-by-step explanation:
Bianca is said to have jogged km 8 days, while also completing 1.25 miles every day. First, we calculate the total number of miles Bianca jogged in total, and that is
8 * 1.25 = 10 miles
Therefore, Bianca jogged a total of 10 miles the previous month.
Again, it is said that Bianca burned 140 calories per each mile she jogged and were asked to find the total calories that was burnt.
If Bianca burns 140 calories per mile, then she must have burnt 140 * 10 calories in 10 miles.
Therefore, we conclude that Bianca burnt 1400 calories.
Answer:
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
also
You measure my life in hours and I serve you by expiring. I’m quick when I’m thin and slow when I’m fat. The wind is my enemy.
Step-by-step explanation: