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Kay [80]
3 years ago
11

What is the solution to the inequality l2n+5l > 1

Mathematics
2 answers:
posledela3 years ago
7 0
|2n+5| \ \textgreater \  1\\
2n+5\ \textgreater \ 1 \vee 2n+5\ \textless \ -1\\
2n\ \textgreater \ -4 \vee 2n\ \textless \ -6\\
n\ \textgreater \ -2 \vee n\ \textless \ -3\\
n\in(-\infty,-3)\cup(-2,\infty)
Mamont248 [21]3 years ago
6 0

<span>l2n+5l > 1

</span><span>(2n+5) > 1
    2n > - 4
      n > -2

</span>-(2n+5) > 1
    -2n - 5 > 1
      -2n  > 6
         n < -3

answer
n<-3 or n>-2
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Determine the values of \theta if sec\;\theta=-\frac{2}{\sqrt{3}}.
Masja [62]

Answer:

See below.

Step-by-step explanation:

So, we have:

\sec(\theta)=-2/\sqrt{3}

Recall that secant is simply the reciprocal of cosine. So we can:

\cos(\theta)=(\sec(\theta))^{-1}=(-2/\sqrt{3})^{-1}\\\cos(\theta)=-\sqrt{3}/2

Now, recall the unit circle. Since cosine is negative, it must be in Quadrants II and/or III. The numerator is the square root of 3. The denominator is 2. The whole thing is negative. Therefore, this means that 150 or 5π/6 is a candidate. Therefore, due to reference angles, 180+30=210 or 7π/6 is also a candidate.

Therefore, the possible values for theta is

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6 0
3 years ago
Solve xy -5= k for x
Virty [35]

Hey there!

To solve, let's first add 5 to both sides.

xy=k+5

Now we divide both sides by y.

x=\frac{k+5}{y}

I hope this helps!

5 0
3 years ago
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Please help please help​
Mumz [18]

Answer:

angleEAF=angleBAC (शिर्षभिमुख कोण भएर)

10x+90+5x=180 (सरल कोण भएर)

or, 15x+90=180

or, 15x=180-90

or, 15x=90

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3 0
2 years ago
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Compare the subtraction problems (6 8 − 5 8 = 1 8 ) and (6 9 − 7 9 = −1 9 ). Why is the answer to the first problem positive and
kherson [118]

Answer:

In the second problem, the first fraction is less than the second fraction.

If you subtract a lesser number from a greater number, the answer is positive.

If you subtract a greater number from a lesser number, the answer is negative.

Step-by-step explanation:

Hope this helps

Sorry if it was late

7 0
3 years ago
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⎩<br> ⎪<br> ⎪<br> ⎨<br> ⎪<br> ⎪<br> ⎧<br> ​<br><br> y=−2x−5<br> y=2x−2<br> ​
Sonja [21]

Answer:

This doesn't make since.

Step-by-step explanation:

8 0
2 years ago
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