4 years ago

Solve the inequality below; Which direction will the graph go in and will the dot be open or closed? m+5>-1

Mathematics

1 answer:

xeze [42]4 years ago

5 0

Answer:

The dot will be closed, and to the right from -6

Step-by-step explanation:

We can rearrange $m+5>-1 = -6 < m$

As it is only a < we close the dots. It must go to the left as m is greater than -6 - all numbers greater than a value will be to the right on the number line.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

viktelen [127]

Answer:

Degree:3

Y-intercept:-6

Step-by-step explanation:

The given function is:

$f(x) = - {(x + 1)}^{2}( {2x - 3)}(x +2 )$

To find the degree, we multiply out the leading terms of each factor.

The leading term of the first factor is:

$- {x}^{2}$

and that of the second factor is

$2x$

and the third one is:

$x$

If we multiply out the leading terms, we would get:

$- {x}^{2} \times 2x \times x = - 2 {x}^{3}$

Therefore the degree of the function is:

To find the y-intercept, we put x=0 to get:

$f(0) = - {(0 + 1)}^{2}( {2 \times 0 - 3)}(0 +2 )$

$\implies \: f(0) = ( 1)( - 3) \times (2) = - 6$

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The answer is 16 because 16 is 2/3 of 24
It's not 8 because that's only 1/3

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