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3 years ago

Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b?

Mathematics

2 answers:

andrew-mc [135]3 years ago

8 0

For this case we have the following equation:

$ax = bx + 1$

From here, we must clear the value of x.

For this, we follow the following steps:

1) Place the variable on one side of the equation and the constant on the other side of the equation:

$ax - bx = 1$

2) Make common factor x:

$x (a -b) = 1$

3) Clear the value of x:

$x = \frac{1}{a-b}$

Answer:

$x = \frac{1}{a-b}$

The relationship between x and the difference of a - b is inversely proportional.

gavmur [86]3 years ago

4 0

Answer:

The equation ax = bx + 1 is the same as x = 1/(a - b) when solved for x. This means that x is equal to the reciprocal of the difference of a and b.

Step-by-step explanation:

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When Belinda asked him to what pages his book was opened, he replied that the product of the facing pages was 87,912. To what pa

Liono4ka [1.6K]

Answer:

His book was opened at Page no.296 and Page no.297

Step-by-step explanation:

Let the page number of one page be x

Page number of page facing page no. x = x+1

We are given that the product of the facing pages was 87,912.

So, x(x+1)=87912

$x^2+x=87912$

$x^2+x-87912=0$

$x^2-296x+297x-87912=0$

$x(x-296)+297(x-296)=0$

(x+297)(x-296)=0

x=296,-297

Since Page no. cannot be negative

So, x=296

x+1=296+1=297

So, his book was opened at Page no.296 and Page no.297

5 0

3 years ago

10 times as many as _ hundreds is 60 hundreds or _ thousands

Lady_Fox [76]

60 hundreds means 6000 = 6 thousands;

So, 10 · x = 6000;

x = 600;

600 means 6 hundreds;

Finally, 10 times as many as 6 hundreds is 60 hundreds or 6 thousands.

6 0

3 years ago

Simplify (3^5)^2 / 3^-2

oksian1 [2.3K]

Answer:

Hi there,

Your answer is D.

Step-by-step explanation:

5 0

3 years ago

Please help, I’ll mark as brainliest.

Crazy boy [7]

Step-by-step explanation:

H(x)=

$\frac{f(x)}{g(x)}$

If g(x) values =0, h(x) will be undefined.

So f(x)=0, h(x) will be undefined.

Zo find values of f(x) equal 0.

That is when x=2. So the answer to first solution is 2.

h(x) is negative when (-oo, -3) U (2,oo)

4 0

3 years ago

This id hard please help me do this

svlad2 [7]

In this problem, we're going to use the 'PEMDAS' method.

First, we're doing the problem in the parenthesis.
44 - 4 = 40

Next in PEMDAS, we need to do the exponent.
6² = 6 x 6 = 36

Then we would do multiplication, but there is nothing to multiply so we move onto division.
40 / 2 = 20

Now we would add, but there is nothing to add so we move onto subtraction.
20 - 36 = -16

Our final answer would be -16.

Hope this helps!~

7 0

3 years ago

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