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Tamiku [17]
3 years ago
11

Which is more precise 42.7 cm or 427.0 mm

Mathematics
1 answer:
nadezda [96]3 years ago
5 0
I am pretty sure the answer is 427.0
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F(x) = a(x - p)3(x - g)2?
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Fiesta28 [93]

Answer:

x_1= \frac{\sqrt{{29}}}{2} +\frac{7}{2}\\\\x_2= -\frac{\sqrt{{29}}}{2} +\frac{7}{2}

Step-by-step explanation:

1. Subtract 9 from both sides of the equation:

x^2 - 7x+9-9 = 4-9\\\\x^2 - 7x= -5

2. Notice that the coefficient of "x" is 7. Then:

(\frac{7}{2})^2=\frac{49}{4}

3. Add \frac{49}{4} to both sides of the equation:

x^2 - 7x+\frac{49}{4}= \frac{49}{4}-5\\\\x^2 - 7x+\frac{49}{4}= \frac{29}{4}

4. Completing the square, you get:

(x -\frac{7}{2})^2= \frac{29}{4}

5. To find the solutions, you must  square-root both sides of the equation, simplify, and solve for "x". Then, you get:

\sqrt{(x -\frac{7}{2})^2}= \±\sqrt{\frac{29}{4}}\\\\x -\frac{7}{2}=\±\frac{\sqrt{{29}}}{2} \\\\x= \±\frac{\sqrt{{29}}}{2} +\frac{7}{2}\\\\\\x_1= \frac{\sqrt{{29}}}{2} +\frac{7}{2}\\\\x_2= -\frac{\sqrt{{29}}}{2} +\frac{7}{2}

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