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2 years ago

Simplify (3^-2/3•3^1/3)^-1 using rational exponents

Mathematics

1 answer:

vampirchik [111]2 years ago

3 0

The simplified answer to this equation would be 3

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[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?

Nitella [24]

Answer:

Step-by-step explanation:

Given the logarithmic equation

$\log_4x+\log_4(x-3)=\log_4(-7x+21)$

First, notice that

$x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x$

So, there is no possible solutions, all possible solutions will be extraneous.

Solve the equation:

$\log_4x+\log_4(x-3)=\log_4x(x-3),$

then

$\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3$

Hence, $x=3$ and $x=-7$ are extraneous solutions

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2 years ago

A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to t

velikii [3]

Answer:

Step-by-step explanation:

To answer this, we need to see the to see to the fact that they are both in the same unit before we can take the ratio.

Firstly, we know that 1 foot = 12 inches. 9 feet would this be 9 * 12 = 108 inches.

Now we are told to get the ratio of length of car to length of model.

This means 108:6 = 18:1

5 0

3 years ago

Read 2 more answers

Find two consecutive even integers whose sum is 30

Yuliya22 [10]

Answer:

14 & 16

Step-by-step explanation:

30÷2=15

15+15=30, so we can make the conclusion...

14+16=30

3 0

2 years ago

PLEASE HELP DUE SOON

Mazyrski [523]

Answer:

Step-by-step explanation:

The lines cross or touch the X-Axis 4 times which means that there are 4 solutions.

7 0

3 years ago

List all rational roots that are possible according to the rational zero theorem. x^3-5x^2-9x+45=0

Lina20 [59]

-3, 3, 5.

https://www.wolframalpha.com/input/?i=%28x%5E3%29-%285x%5E2%29-9x%2B45%3D0

8 0

3 years ago