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Citrus2011 [14]
3 years ago
7

How are linear inequalities different than linear equations?

Mathematics
1 answer:
Alja [10]3 years ago
4 0

Answer:

The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation

Step-by-step explanation:

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In the function f(x) = 6x + b, what must be the value of b, if f(5) = 1?
Brut [27]
<h3>Answer:    -29</h3>

=============================================

Work Shown:

f(x) = 6x + b

f(5) = 6(5) + b .... replace every x with 5

f(5) = 30 + b

1 = 30 + b ..... replace f(5) with 1, since f(5) = 1 was given.

1-30 = 30 + b - 30 .... subtract 30 from both sides

-29 = b

b = -29

-----------

The function f(x) = 6x+b turns into f(x) = 6x+(-29) which is equivalent to f(x) = 6x-29

Plugging in x = 5 leads to

f(x) = 6x-29

f(5) = 6(5) - 29

f(5) = 30 - 29

f(5) = 1

So we have confirmed the answer.

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Step-by-step explanation:

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