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Diano4ka-milaya [45]
3 years ago
9

List the integers that satisfy both these inequalities | 2x + 9<0 and x>-12

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0
2x + 9 < 0
2x < -9
x < -4.5
x> -12

x = {-11, -10, -9, -8, -7, -6, -5}
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Answer:

Please solve these questions I am hella desperate rn

Step-by-step explanation:

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2 years ago
which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1​
lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. y=\sec x

B. y= \tan x

C. y= \cot x

D. y= \csc x

Answer:

A. y=\sec x

D. y=\csc x

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: y=\sec x

We know that, the \sec x=\frac{1}{\cos x}

The range of \cos x is from -1 to 1 given as [-1, 1]. So,

|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1

Therefore, on removing the absolute sign, we rewrite the secant function as:

\sec x\leq -1\ or\ \sec x\geq 1\\

Therefore, the range of y=\sec x is all real numbers greater than or equal to 1 or less than or equal to-1​.

Choice B: y= \tan x

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: y= \cot x

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: y=\csc x

We know that, the \csc x=\frac{1}{\sin x}

The range of \sin x is from -1 to 1 given as [-1, 1]. So,

|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

\csc x\leq -1\ or\ \csc x\geq 1\\

Therefore, the range of y=\csc x is all real numbers greater than or equal to 1 or less than or equal to-1​.

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Answer:

90

Step-by-step explanation:

so first do 120 divided by 4 is 30. Then multiply it by 3 to get 90.

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2 years ago
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pentagon [3]

Answer:

Step-by-step explanation:

12 = 60% of x = 0.6x

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Although this question asks for original work, and therefore, only you can complete it, we can provide an example to help you guide your work:

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<em>- This is the best day ever! - she yelled, while she ran to grab a donut."</em>

In this addition, the conflict is an internal one, as the children feel worried about school. However, this is resolved by the festival that was organized. The climax occurs when the children notice the festival, while the falling action and resolution occur when the children are able to relax and their worries about school disappear.

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