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3 years ago

7

How do you solve this equation

1 answer:

antiseptic1488 [7]3 years ago

8 0

I suggest using keep change flip

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Kindly solve this question

Dmitry_Shevchenko [17]

Answer:

x=-1/7

Step-by-step explanation:

$\frac{3x-1}{3} -\frac{2x}{x-1} =x$

$\frac{(3x-1)(x-1)}{3x-3} -\frac{2x(3)}{3x-3} =x$

$\frac{3x^2-4x+1}{3x-3} -\frac{6x}{3x-3} =x$

$\frac{3x^2-10x+1}{3x-3} =x$

$\frac{3x^2-10x+1}{3x-3} =\frac{x(3x-3)}{3x-3}$

$\frac{3x^2-10x+1}{3x-3} =\frac{3x^2-3x}{3x-3}$

$3x^2-10x+1=3x^2-3x$

$-10x+1=-3x$

$-7x=1$

$x=-1/7$

3 0

2 years ago

I need help with these because recently we have been learning this and I don't get any of this.

Aleksandr-060686 [28]

It is upside down, can't see it properly!

5 0

3 years ago

Determine if the following table represents a quadratic function.

snow_tiger [21]

Answer:

<em>The options are not visible enough (See Explanation)</em>

Step-by-step explanation:

Given

x:- 1 || 2 || 3 || 4 || 5

y:- 13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

$Difference = 22 - 13 = 9$

$Difference = 37 - 22 = 15$

$Difference = 58 - 37 = 21$

$Difference = 85 - 58 = 27$

<em>The resulting difference are: 9 || 15 || 21 || 27</em>

Next; Calculate the difference between the difference of values of y

$Difference = 15 - 9 = 6$

$Difference = 21 - 15 = 6$

$Difference = 27 - 21 = 6$

<em>The resulting difference are: 6 || 6 || 6</em>

<em>For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.</em>

7 0

4 years ago

Why are the solutions to the proportions 40/8 = x/10 and x/40 = 10/8 the same?

romanna [79]

Answer:

Both proportions are equivalent.

Step-by-step explanation:

We have been given two proportions $\frac{40}{8}=\frac{x}{10}$ and $\frac{x}{40}=\frac{10}{8}$ . We are asked to find why the solutions to our given proportions are equal.

We can solve proportions by cross multiplying them.

After cross multiplying our both proportions we will get same equation that is:

$40*10=8*x$

$400=8x$

$8*x=40*10$

$8x=400$

Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.

4 0

3 years ago

Read 2 more answers

Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to <em>1</em>.

6 0

3 years ago