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3 years ago

Following the recommended steps for solving equations, what should be your first step in solving the given equation?

2 answers:

8 0

To solve equations, you isolate the variable you are solving for on one side and everything else on the other side.

The first step to solving this equation is to combine like terms.
Combining like terms means to add up all terms that have the same variable(s) and exponent.

If no exponent is shown, then a 1 exponent is implied. The reason why we don't show a term raised to the first power is that it doesn't have any effect on the term.

I see three terms with the x variables. We can combine them. Why? Because they all have the same variable and exponent.

I'll rearrange the left-hand side to combine all the terms with the x variable.

Now we have -3 + 2x - 4x - 2x = -6
Combine all terms that have the x variable.

-3 + 2x - 4x - 2x = -6
-3 - 4x = -6

Now we have -3 - 4x = -6
What can we do now to isolate the x variable on the left-hand side?
For starters, we can add 3 to each side of the equation.
That way the -3 term will disappear.

-3 - 4x + 3 = -6 + 3
-4x = -3

Last step.
The x variable is being multiplied by the -4. If we reverse that operation
we can get the value of x.

-4x / -4 = 3 / -4
x = 3/-4 or x = -0.75

zheka24 [161]3 years ago

5 0

Answer:

Step 1 :Combine like term to perform the operation .

Step-by-step explanation:

Given : 2x – 3 – 4x − 2x = –6.

To find : what should be your first step in solving the given equation.

Solution : We have given 2x – 3 – 4x − 2x = –6.

Step 1 :Combine like term to perform the operation .

2x - 4x - 2x -3 = -6.

-4x - 3 = -6 .

Step 2: On adding both sides by 3

- 4x = - 6 + 3 .

- 4x = -3 .

Step 3 : On dividing both sides by -4.

x = 3/4.

Therefore, Step 1 :Combine like term to perform the operation .

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3 years ago

Consider the function f(x)= 2/5x-4

Gre4nikov [31]

Answer: a) $\frac{5}{2}x+10=f^{-1}(x)=g(x)$

Step-by-step explanation:

Since we have given that

$f(x)=\frac{2}{5}x-4$

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

$y=\frac{2}{5}x-4$

Switching x to y , we get

$x=\frac{2}{5}y-4$

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b) . Use composition to show that f(x) and g(x) are inverses of each other.

$\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x$

Similarly,

$\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x$

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.

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Answer:

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