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d1i1m1o1n [39]
1 year ago
6

Solve. (Enter your answer using interval notation.) |3x + 15| > 21

Mathematics
1 answer:
Katarina [22]1 year ago
4 0

Answer:

(-∞, -12), (2, ∞)

or

(-∞, -12) U (2, ∞)

Step-by-step explanation:

|3x + 15| > 21, |3x + 15| < -21

3x + 15 > 21,  3x + 15 < - 21

     -15    -15         -15     -15

------------------   -------------------

3x > 6               3x < - 36

÷3  ÷3               ÷3     ÷3

------------         ------------------

x > 2                  x < -12

(-∞, -12), (2, ∞)

or

(-∞, -12) U (2, ∞)

I hope this helps!

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Need help plsss<br> Question is below
tatuchka [14]

Answer:

Step-by-step ex

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5 0
3 years ago
Can anyone help ? i really don’t understand this question <br> If NP bisects X =<br> m/RNM =
snow_tiger [21]

We can conclude that the value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

<h3>What are angles?</h3>
  • An angle is a figure in Euclidean geometry formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle.
  • Angles formed by two rays are located in the plane containing the rays.
  • Angles are also formed when two planes intersect.
  • These are known as dihedral angles.

So,

  • ∠MNQ = ∠MNP + ∠PNQ
  • 8x + 12 = ∠MNP + 78
  • 8x + 12 - 78 = ∠MNP
  • 8x - 66 = ∠MNP
  • 8x = ∠MNP + 66
  • x = (∠MNP + 66)/8

Now, substitute 'x = (∠MNP + 66)/8' in 8x + 12:

  • ∠MNQ = 8x + 12
  • ∠MNQ = 8 ×(∠MNP + 66)/8 + 12
  • ∠MNQ = ∠MNP + 66 + 12
  • ∠MNQ = ∠MNP + 78

Hence, m∠RNM = ∠RNQ - ∠MNP + 78

Therefore, in the given question value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

Know more about angles here:

brainly.com/question/25716982

#SPJ9

7 0
11 months ago
Is 110,571 divisible by 3?
MAXImum [283]

Answer:

yes, it is.

Step-by-step explanation:

110,571 divided by 3 is 36857. So, since the answer is not a decimal or a fraction, 110,571 is divisable by 3

3 0
2 years ago
Help please No links And with explanation please!
victus00 [196]
First: -8 second:17
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3 years ago
Write the quadratic equation in factored form. x2 + x - 12 = 0
lapo4ka [179]

Answer:

(x + 4)(x - 3)

Step-by-step explanation:

x^2 + x - 12 = 0

In order to factorise an equation, one must take into consideration the factors of the values in given equation.

In the factored form, the above equation becomes

(x + 4)(x- 3)

Factors of x^2 = x times x

Factors of -12 = +4 x -3

As shown in the factored form above

7 0
3 years ago
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