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user100 [1]
3 years ago
8

Write as an inequality: A number is less then 6 from 0

Mathematics
2 answers:
9966 [12]3 years ago
8 0

Answer:

0< a <6

Step-by-step explanation:

yawa3891 [41]3 years ago
7 0

Answer:

6 > n < 0

let n be the missing number

since n is less than 6 but greater than 0 n should be between 6 and 0.

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If you divide one of the roots of the equation 4x2+bx−27=0 by the other root, the quotient will be −3. Find b.
klio [65]
<h3>Answer:</h3>

  ±12   (two answers)

<h3>Explanation:</h3>

Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:

  (<em>a</em>)(-3<em>a</em>) = -27/4

  <em>a</em>² = -27/(4·(-3)) = 9/4

  <em>a</em> = ±√(9/4) = ±3/2

Then the other root is

  -3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs

We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...

  -(a + (-3a)) = b/4

  2a = b/4

  b = 8a = 8·(±3/2)

  b = ±12

_____

<em>Check</em>

For b = 12, the equation factors as ...

  4x² +12x -27 = (2x -3)(2x +9) = 0

  It has roots -9/2 and +3/2, the ratio of which is -3.

For b = -12, the equation factors as ...

  4x² -12x -27 = (2x +3)(2x -9) = 0

  It has roots 9/2 and -3/2, the ratio of which is -3.

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QUESTION 19
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Answer:

The answer is 3 because the sign does not have the equal to line underneath it so its open the number its less than is four and anything less than is open to the left.

Step-by-step explanation:

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3 years ago
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