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bogdanovich [222]
3 years ago
15

Which value of the vanable is a solution of the inequality? t<-6 7 6 -6 -7

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer:

-7

Step-by-step explanation:

-7 is a solution of the inequality t<-6

By the way, for the number -6, you can think about a temperature below zero. When it is freezing 6 degrees below zero (-6) it is pretty cold.

The question is which number(s) can you substitute for t so that the formula (the inequality) is True.

So let's try for each given value and substitute it for t in t<-6

if you substitute 7 for t you get this:

Is 7 smaller then -6 ?

No that is not true because 7 is bigger then -6.

if you substitute 7 for t you get this:

Is 7 smaller then -6 ?

No that is not true because 7 is much bigger then -6.

if you substitute 6 for t you get this:

Is 6 smaller then -6 ?

No that is not true because 6 is much bigger then -6.

if you substitute -6 for t you get this:

Is -6 smaller then -6 ?

No, that is NOT true because -6 is exactly the same as -6 but NOT smaller then -6...

if you substitute-7 for t you get this:

Please think about temperatures below zero again.

Is -7 colder the -6 ? If so, then the statement is true...

Is -7 smaller then -6 ?

Yes that is true!

So -7 is a solution of the inequality t<-6

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Find an integer value of b that makes x^2 + bx - 81 factorable.
Kaylis [27]

Answer:

b = 80

Step-by-step explanation:

Given that,

x² + bx - 81

To find,

value of b

What is factorable?

A polynomial equation with highest degree 2 is if factorable when

  1. we can find two terms which when multiples = -81x²,   <em> ( x² * - 81 = -81x² ) </em>
  2. and when add = bx

possible factors:

  1. -1x * 81x = -81x²   (Accepted)
  2. 1x * -81x= -81x²    (rejected)
  3. 9x * -9x = -81x²    (rejected)
  4. -9x * 9x = -81x²    (rejected)

Only when -1x , 81x is added -1x + 81x = 80x

so, bx = 80x

     b   = 80

<h3>The equation is x² + 80x - 81</h3>

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3 years ago
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