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:
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This be soooo hard ;w;
Step-by-step explanation:
.w.
Answer=True
When rounding 16.437 to the nearest tenth, we need to look to the hundreds place.
16.437
The number 3 is in the hundreds place
The rules of rounding are:
If the number is 5 or greater, then you round up.
If the number is 4 or less, Then you round down.
Since 3 is less than 4, we would round down. So...
16.437 becomes 16.4
68 + (x / 54) = 72 68 + (x / 54) • 54 = 72 • 54 68 + x = 72 • 54 68 + x = 3,888 68 + x - 68 = 3,888 - 68 x = 3,888 - 68 x = 3,820 I'm pretty sure this is right. Good luck!