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xenn [34]
3 years ago
11

When working with inequalities what do you do when its x squared > 16 and vice versa does the sign flip.

Mathematics
2 answers:
S_A_V [24]3 years ago
6 0

Answer:

x4

\{x\in \mathbb{R}|  \:\left(-\infty \:,\:-4\right)\cup \left(4,\:\infty \:\right)    \}

Step-by-step explanation:

x^2>16

x\sqrt{16}

x4

The interval notation will be:

\{x\in \mathbb{R}|  \:\left(-\infty \:,\:-4\right)\cup \left(4,\:\infty \:\right)    \}

The contrary,

x^2

is -4

guajiro [1.7K]3 years ago
6 0

No it doesn't flip. You split into two possible cases with two separate inequalities.

x^2 > 16

| x | > 4

And since now you are working with an absolute value, you split into 2 possible cases.

if x >= 0: then x > 4

if x < 0: then -x > 4

x < -4

FOR THE FIRST:

x ∈ (4, + ∞)

FOR THE SECOND:

x ∈ (-∞, -4)

Their UNITY is: x ∈ (-∞, -4) U (4, +∞)

And that's how you go about solving these. Hope I helped! :)

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<h3>Answer:  B) 1 & 3</h3>

Explanation:

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Harman [31]
<h3>Answer:  c. 8(y-6) = (x-2)^2</h3>

Explanation:

The directrix is horizontal, so the axis of symmetry is vertical. We'll have an x^2 term. The vertical distance from y = 4 to y = 8 is 4 units. Cut this in half to get 2, which is the focal distance p = 2.

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(h,k) = (2,6)

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8 0
3 years ago
Can someone help me please
Margarita [4]

Answer:

46

Step-by-step explanation:

Solution :

Remember that the sum of complementary angles is always 90°.

First, finding the value of x :

Set up an equation :

( Being complementary angles )

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{ Remove unnecessary parentheses }

{ Combine like terms }

{ Subtract 3 from 30 }

{ Move 27 to right hand side and change it's sign }

{ Subtract 27 from 90}

{ Divide both sides by 9 }

The value of X is 7°

Now, Replacing the value of x in order to find the value of  B

{ Plug the value of x }

{ Multiply 7 by 7 }

{ Subtract 3 from 49 }

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7 0
3 years ago
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AfilCa [17]

Answer:

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m<BOJ = 90 degrees

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x = 96/4

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Since all the sides are equal, hence BO = JO = 2x-8

JO = 2x - 8

Substitute x = 24 into JO

JO = 2(24) - 8

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Hence the measure of JO is 40 units

6 0
3 years ago
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pashok25 [27]
Hello!

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