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:
(-6, 0)
Step-by-step explanation:
(x, y) over y=x = (y, x)
so (0, -6) will be (-6, 0).
this is your answer, i hope this helps you
Answer:
v=6
Step-by-step explanation:
2v is positive so keep it
then 2v=12
v=6
Answer:
Yes, because look at the below work.
Step-by-step explanation:
Step 1: Find the Common Denominator
The common denominator is 210
5/6 * 35/35 = 175/210
4/5 * 42/42 = 168/210
6/7 * 30/30 = 180/210
5/6 is between 4/5 and 6/7 because 4/5 = 168/210 which is less than 5/6 which is 175/210 and 5/6 is less than 6/7 which is 180/210.
So, yes I agree with Maria
