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Talja [164]
3 years ago
6

Least to greatest 7/8 0.98 8/9

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0
7/8, 8/9, 0.98

This is the one and only answer to this question
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Solve the system by the elimination method.<br><br> 2a + 3b = 6<br> 5a + 2b - 4 = 0
mariarad [96]
2a + 3b = 6 --> Equation 1
5a + 2b = 4 --> Equation 2
Equation 1 * 5 --> 10a + 15b = 30
Equation 2 * 2 --> 10a + 4b = 8
Equation 1 - Equation 2 --> 11b = 22 --> b = 2
Sub b=2 in Equation 1 (or 2, either works):
2a + 3b = 6
2a + 3(2) = 6
2a + 6 = 6
2a = 0
a = 0

b = 2, a = 0

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3 years ago
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How many real solutions does this system of equations have? xy = 9<br> y = 3x - 1
tekilochka [14]

Answer:

two real, unequal roots

Step-by-step explanation:

y is definied as y = 3x - 1.  Substitute 3x - 1 for y in xy = 9, obtaining:

x(3x - 1) = 9.  Then:

3x^2 - x - 9 = 0.  In this quadratic, the coefficients are a = 3, b = -1 and c = -9.

Calculating the discriminant b^2 - 4ac, we get (-1)^2 - 4(3)(-9), or 1 + 108, or 109.  Because the discriminant is positive, we have two real, unequal roots.

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Write the inequality |x - 2| &lt; 3 without absolute value symbols.
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|x-2| < 3\Rightarrow x-2 < 3\ \wedge\ x-2 > -3\ \ \ \ |+2\\\\x < 5\ \wedge\ x > -1

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