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katen-ka-za [31]
3 years ago
15

Help please with this question

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Step-by-step explanation:

0 = x² - 6x - 27

a = 1, b = -6, c = -27  Factor using AC method.

ac = (1)(-27) = -27

Factors of -27 that add up to -6 are -9 and 3.

Therefore:

0 = (x - 9) (x + 3)

x = -3, x = 9

The x-intercepts are (-3, 0) and (9, 0).

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3 years ago
Help with this math question
tresset_1 [31]
The given inequality is:

|-8x+24| \leq 16

This inequality can be divided in two parts as:

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b) -8x + 24 \leq 16

Solving part a:

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or \\ 
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Solving part b:

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Therefore, the solution to the given inequality is x \leq 5 and x \geq 1. Combining both the ranges we get the solution: 1 \leq x \leq 5.

In interval notation, this solution can be expressed as [1,5]
3 0
3 years ago
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3 years ago
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Step-by-step explanation:

A rational number is in the form p/q where p and q are both integers and the denominator q is not equal to zero. This means that the set of all real numbers are rational numbers.

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