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Basile [38]
3 years ago
13

Prove that this equation have no solutions

Mathematics
2 answers:
melomori [17]3 years ago
7 0

Answer:

Step-by-step explanation:

(x - 4)² = -1/(x+3)³

(x - 4)²(x + 3)² = -1

[(x - 4)(x + 3)]² = -1

This has no solution since a perfect square (on the left) is never negative.

12345 [234]3 years ago
6 0

Answer:It doesn't

Step-by-step explanation:

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Is 8/15 greater than 4/5 ? and is 2/3 greater than 5/8 ?
Bogdan [553]

Answer:

yes 8/15 is greater and 2/3 is less than

6 0
3 years ago
The women'schorus has 33members. How many quartetscan be formed? How many singers will be left over?
andreyandreev [35.5K]

Answer: 8 quartets can be formed.

1 singer will be left over.

Step-by-step explanation:

A quartet is a group of 4 members.

Given: The women'schorus has 33 members.

The number of quartets can be formed = (Total members) divided by (4)

= 33 ÷ 4

By solving 33 ÷ 4  we get 8 as quotient and remainder as 1 such that

33 = 4 x 8 +1

Hence, 8 quartets can be formed.

1 singer will be left over.

8 0
3 years ago
You are working on an experiment where you want to test the effects of caffeinated beverages on the behavior of cats. You will t
vichka [17]
For the experiment, you need 2L of cola. Your first option would be to purchase 1 2L bottle of cola for $2.25. 

To calculate the second option, let's convert milliliters to liters first. There are 1,000 milliliters in 1 liter. With this, we know that there are 2,000 milliliters in 2 liters. Option 2 comes in 500-milliliter cans, which means that you would need 4 of them (2,000/500 = 4). 4 cans multiplied by $0.50 would cost you $2.00. 

Let's check the cost of your answer options.
A. 4 cans - As seen above, this would cost $2.00.
B. 1 bottle - From the question, we know this would cost $2.25.
C. 2 bottles - This would be more soda than you need and would cost $4.50 ($2.25x2)
D. 1 can - This would be .5L and not enough soda for the experiment.
E. 5 cans - This would cost $2.50, but would be an extra 500mL of soda.
F. 2 cans - This would only be 1L of soda and not enough for the experiment.
G. 3 cans - This would be 1.5L of soda and not enough for the experiment either.

For the best price option, you would choose A (four cans of soda). This would give you the amount of soda that you need at the lowest price.
6 0
3 years ago
What is the solution of the equation e^xe^2x = 4? Round your answer to the nearest hundredth.
Stells [14]
The equation is:

[e^x] [e^(2x)] = 4

1) Applying property of multiplication of powers wiith same base =>

e ^ (x + 2x) = 4

=> e ^ (3x) = 4

2) Applying logarigth properties

3x = ln(4)

=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621

Answer: x = ln(4) / 3 ≈ 0.4621
8 0
3 years ago
Which expressions are equivalent to (2^2-9) (x + 3)?
mestny [16]

Answer:

(x^2-3^2)(x+3)

(x-3)(x+3)(x+3)

(x-3)(x+3)^2

Step-by-step explanation:

Given

(x^2-9)(x+3)

Required

Select 3 equivalent expressions

(x^2-9)(x+3)

Express 9 as 3^2

(x^2-3^2)(x+3) --- This is one equivalent expression

Take x^2 - 3^2 as difference of two squares

(x-3)(x+3)(x+3) -- This is another equivalent expression:

Solving further:

(x-3)(x+3)(x+3) becomes

(x-3)(x+3)^2   -- This is another equivalent expression:

Hence, the equivalent expressions are:

(x^2-3^2)(x+3)

(x-3)(x+3)(x+3)

(x-3)(x+3)^2

7 0
3 years ago
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