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Vilka [71]
3 years ago
15

What is wrong with the following proof? Clearly we know that 1 does not equal 2. What rule of algebra did we break that makes th

is conclusion invalid? I've numbered the lines for you so you can refer to the line numbers in your explanation ​

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

An attempt to divide by zero gives a contradictory result

A rule of algebra broken is <u>dividing by zero</u> (leading to a contradiction) and stating a finite result

Reason:

The given calculation is presented as follows;

1. a > 0, b > 0 given

2. a = b given

3. a·b = b²

4. a·b - a² = b² - a²

5. a·(b - a) = (b + a)·(b - a)

6. a = b + a

7. 0 = b

8. b = 2·b

9. 1 = 2

From line 4, the result are;

4. a·b - a² = b² - a² = 0

5. a·(b - a) = (b + a)·(b - a) = 0

On line 6, both sides where divided by (b - a) = 0, which should given an infinite result

Therefore, one rule of algebra broken is dividing by zero to get a finite result

In line 7, we have;

7. 0 = b

From 6. a = b + a, and a = b, we have;

8. b = 2·b

Therefore, line 9 should be;

9. 0 = 2·0; 0 = 0, given that we have;

1 × 0 = 0

2 × 0 = 0

∴ 1 × 0 = 2 × 0

However

  • 1 ≠ 2

In line 9., by dividing by b = 0, again, we have;

  • 9. 1 = 2 (a contradiction)

Therefore, one rule of algebra that is broken is <u>dividing by zero</u> and having a finite result

Learn more about the rules of algebra here:

brainly.com/question/11388301

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A 56-inch Woman cast a shadow that is 16 inches long. How tall is her child if his shadow is 14 inches long?
nikitadnepr [17]

Answer:49

Step by step is 56÷16=3.5

14x3.5=49

6 0
2 years ago
Pls help!!
erik [133]

Answer:

A

Step-by-step explanation:

7 0
2 years ago
A bakery has the following pricing for large orders of cupcakes. The first 100 cupcakes of any order
Taya2010 [7]

A piecewise function is a function that behaves differently in different intervals of its domain.

The answers are:

a)

f(x) = x*$2.00    if 0 ≤ x ≤ 100

f(x) = x*$1.75     if  100 < x ≤ 250

f(x) = x*$1.25     if    x > 250.

b)  $306.25

The given information is:

The first 100 cupcakes cost $2.00 each.

If the order is between 100 and 250 cupcakes, the cost is $1.75 each.

If the order is more than 250 cupcakes, the cost is $1.25 each.

a) Now we want to write the piecewise function, this will be:

f(x) = x*$2.00    if 0 ≤ x ≤ 100

f(x) = x*$1.75     if  100 < x ≤ 250

f(x) = x*$1.25     if    x > 250.

Above you can see the piecewise function, when you want to evaluate it, the first thing you need to do is to find at which interval the input belongs.

b) If you order 175 cupcakes you have x = 175.

This belongs to the second interval ( 100 < x ≤ 250) then we will use the second part of the function:

f(175) = 175*$1.75 = $306.25

If you want to learn more, you can read:

brainly.com/question/12561612

8 0
2 years ago
When choosing a new class color, 90 students voted for crimson and 60 voted for royal blue. What percent of these students voted
neonofarm [45]
The percentage of students voted for colour crimson
=
\frac{90}{60 + 90} \times 100\%  \\  =  \frac{90}{150}  \times 100\%\\  =  \frac{9}{15} \times 100\% \\  = 60\%
hope it helps!
6 0
2 years ago
How do you Round 96,286 to the nearest thousand.
Varvara68 [4.7K]

Answer:

The correct answer is 96,000

Step-by-step explanation:

To round you look at the thousands place and there is a 9 then you look at the number to the right of it which is 2 and it is lower than 5 since it is lower than five it rounds down so the correct answer is 96,000.

HAVE A GOOD DAY!

8 0
2 years ago
Read 2 more answers
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