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charle [14.2K]
3 years ago
6

7. If -3 < x < 3, determine c and d for the inequality c < 2x + 1 < d

Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer:

C= -5

D = 7

Step-by-step explanation:

- 3 < x < 3 \\    \\  - 6 < 2x < 6 \\  \\  - 6 + 1 < 2x + 1 < 6 + 1 \\  \\  - 5 < 2x + 1 < 7

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Under what operations are the set of integers closed? Explain your answer.
Nonamiya [84]
Addition, subtraction, multiplication.

Addition: The addition of two integers produces another integer.

Subtraction: The subtraction of two integers produces another integer.

Multiplication: The product of two integers is an integer.

Division between two integers can produce a rational number that is not in the set of integers e.g. 1/3

This only includes the four basic arithmetic operations, you can include exponentiation and the modulo operation if you want to for the same reasons as above.
3 0
3 years ago
What percent of 90 is 36?<br> 40%<br> 32.4% <br> 250%
DaniilM [7]

Answer:

Step-by-step explanation:

40% is the correct answer

8 0
2 years ago
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Round 415,203 to the thousands place
sergey [27]
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6 0
2 years ago
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54 ÷ (−6)<br><br><br> A. 9<br><br> B. -9<br><br> C. -8
sp2606 [1]

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6 0
3 years ago
In a right triangle one leg measures a quarter of the other, how much do its acute angles measure? with procedure please​
KATRIN_1 [288]

Answer:

The answer to your question is 14° and 76°

Step-by-step explanation:

Data

leg 1 = x

leg 2 = x/4

angle 1 = ?

angle 2 = ?

Process

To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).

    tangent Ф = Opposite side / Adjacent side

-Substitution

    tan Ф = (x/4) / x

-Simplification

    tan Ф = x / 4x

    tan Ф = 1/4

-  Find Ф

     Ф = tan⁻¹(1/4) =  14°

- Find the other acute angle

  The sum of the internal angles in a triangles equals 180°

       Ф + Ф₁ + 90° = 180

-Solve for Ф₁

        Ф₁  = 180 - 90 - 14

-Result

        Ф₁ = 76°              

3 0
3 years ago
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