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masha68 [24]
3 years ago
7

If x is a positive integer and y is a negative integer than x + y is a rational number.

Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

An integer is a whole number so if x is positive and y is negative then the equation would just be x plus negative y. But x+-y is an odd equation so the simplified version is x-y so it is a rational number, since a rational number is a number that can be rewritten as a simple fraction.

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Use the given information and a calculator to find to the nearest tenth of a degree
Schach [20]

Answer:

111.4 degrees

Step-by-step explanation:

Let's write cos x = -0.3646.  Or, look up the symbols chart at the bottom of your page and click on Ф to obtain this character:  cos Ф = -0.3646.

If Ф is in Quadrant III, then the adjacent side is negative and the hypotenuse is positive.  

                                                         -1

Type this into your calculator:  cos     -0.3646.  Result:  1.934 (radians)

This converts to degrees as follows:

1.934 rad      180 degr

--------------- * --------------- = 111.4 degrees.  Note that this angle is in QIII.

        1              π rad

8 0
3 years ago
-6/7,-3/7,0,3/7 .... create a formula that explains the arithmetic sequence
LenKa [72]

The formula that explain the arithmetic sequence is a_{n}=\frac{3}{7}n-\frac{9}{7}

Step-by-step explanation:

The formula of the nth term in an arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the first term
  • d is the common difference between the consecutive terms

∵ \frac{-6}{7} , \frac{-3}{7} , 0 , \frac{3}{7} are some terms of an arithmetic sequence

∵ The difference between two consecutive terms = \frac{-3}{7} - \frac{-6}{7}

∴ The difference between two consecutive terms = \frac{-3}{7} + \frac{6}{7} = \frac{3}{7}

∴ The common difference = \frac{3}{7}

∴ d = \frac{3}{7}

∵ The first term is \frac{-6}{7}

∴ a = \frac{-6}{7}

- Substitute a and d in the formula above

∴ a_{n}=\frac{-6}{7}+(n-1)\frac{3}{7}

- Simplify the right hand side

∴ a_{n}=\frac{-6}{7}+\frac{3}{7}n-\frac{3}{7}

- Add like terms

∴ a_{n}=\frac{3}{7}n-\frac{9}{7}

The formula that explain the arithmetic sequence is a_{n}=\frac{3}{7}n-\frac{9}{7}

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0
3 years ago
Which of the following represents the range of the relation below? (last one i swear)
valkas [14]

Answer:

B

Step-by-step explanation:

Range is y-values, hun which is the second number in each of the ordered pairs. And when you list ranges(y) or domains(x) you do it from least to greatest which is why it goes from negatives to positives in numerical order rather than the order given in the problem.

6 0
3 years ago
Lin is baking cakes. Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes.
Zanzabum

Answer:

12

Step-by-step explanation:

412 ÷ 34 = 12.1176...

Round down to 12 cakes

5 0
2 years ago
What is (x+3)(2x-4) in the form of ax²+bx+c?
fenix001 [56]

FOIL

first = x*2x = 2x^2

outer = x*-4 = -4x

inner = 3 * 2x = 6x

last = 3 * (-4) = -12

add together

2x^2 -4x+6x-12

2x^2 +2x-12

5 0
3 years ago
Read 2 more answers
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