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Ghella [55]
3 years ago
9

What happens when a rational number is added to an irrational number

Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0

The answer to your question is,

Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

-Mabel <3

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Decide whether the integral is improper. <br> [infinity]<br> â« ln(x3) dx <br> 0
marusya05 [52]

Answer:

Yes, It is improper.

Step-by-step explanation:

<em>Your answer is correct. The limits of integration are finite. The integrand is not continuous on [1, ∞). At least one of the limits of integration is not finite. The integrand is continuous on [1, ∞).</em>

8 0
3 years ago
Find an equation of a line through (2, 1) and perpendicular to −2x + 4y = 8
MAVERICK [17]

Hello:<span>
the equation is : y = ax+b
the slope is a : a×(1/2) = -1......( perpendicular to a line with a slope of   1/2)            because :    -2x+4y =8...y=(1/2)x+2    )     </span>

<span>
a = -2       y=(-2x+b
the line that passes through (2,1) :1 = -2(2)+b
b =5
<span> the equation is :  y  = -2x+5</span></span>

4 0
2 years ago
Which of the following is the product of the rational expression shown below
wolverine [178]

Option C: \frac{x^{2}-9}{x^{2}-4} is the product of the rational expression.

Explanation:

The given rational expression is \frac{x+3}{x+2} \cdot \frac{x-3}{x-2}

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

\frac{(x+3)(x-3)}{(x+2)(x-2)}

Let us use the identity (a+b)(a-b)=a^2-b^2 in the above expression.

Thus, we get;

\frac{x^{2} -3^2}{x^{2} -2^2}

Simplifying the terms, we get;

\frac{x^{2}-9}{x^{2}-4}

Thus, the product of the rational expression is \frac{x^{2}-9}{x^{2}-4}

Hence, Option C is the correct answer.

6 0
3 years ago
MARKING BRANLY You want to plant a flower garden in your yard so that you can make a beautiful bouquet to put on the alter at ch
BabaBlast [244]

Answer:

1. 3 packs of daffodils and 4 packs of tulips

2. then you would have 24 of each

3. $2.29

4. $37.54

5. $34.61

6.$2.93 was saved

7. 3 tulips

8. 12 daffodils

9. 9 tulips

10. 12 daffodils and 15 tulips

theres 2 left. ill let someone else do it

Step-by-step explanation:

3.   4.50*4=18            5.75*3=17.25

18+17.25 -> 35.25*.065=2.29 rounded

4. 35.25+2.29=37.54

5.  35.25-2.75->32.50*.065=2.11       2.11+32.50=34.61

6. 37.54-34.61=2.93

7. 6:8  -> 3:4  ratio -> 3:4

8. 8+4=12

9. 6+3=9

10. 24-12=12           24-9=15

6 0
3 years ago
An angle is equal to one-third of its complement. Find the angle's measure.
artcher [175]

Let x^\circ be the measure of the angle in question. Its complement has measure (90-x)^\circ. We're told that this angle is congruent to 1/3 of its complement, so that

x^\circ=\dfrac{(90-x)^\circ}3\implies3x^\circ=(90-x)^\circ\implies4x^\circ=90^\circ\implies x=22.5^\circ

8 0
3 years ago
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