6= x/5 Solve for X How do you get the answer for X?

Mathematics

1 answer:

Anna35 [415]3 years ago

5 0

Answer:

x=30

Step-by-step explanation:

To solve a problem like this, our goal is to isolate the variable, which in this case, is x. We use something called reverse operations to do this. If a number is being added on the same side of x, we use subtraction on both sides to cancel it out. If x is dividing a number, we use multiplication on both sides to cancel it out.

6=x/5

In this case, x is being divided by 5. The reverse operation of division is multiplication, so we can multiply both sides of the equation by 5 to cancel it out and isolate x.

6=x/5

6*5=(x/5)*5

30=x

I hope this helps!

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Svetradugi [14.3K]

Answer:

{-1, 1/2, 2/3, 1}

Step-by-step explanation:

I find a graphing calculator to be a most useful tool for problems like this. (See attached.)

_____

First of all, observe that the constant is -2, so 0 is not a zero.

It is often useful to look at the sum of coefficients. Here, that is 0, indicating 1 is a zero.

You can divide that out, or simply continue by looking at the sum of coefficients with odd-degree terms negated. Then you have 6 +7 -4 -7 -2 = 0, indicating -1 is also a zero.

At this point, it can be useful to divide out the factors you know. The synthetic division tableaus attached show that work. First is division by (x+1), then by (x -1).

The result of doing that is the quadratic ...

6x^2 -7x +2 = 0

This can be factored ...

(6x^2 -3x) -(4x -2) = 0 . . . . . . rewrite -7x and group term pairs

3x(2x -1) -2(2x -1) = 0 . . . . . . . factor each pair

(3x -2)(2x -1) = 0 . . . . . . the factorization of the remaining quadratic

The zeros of this are the values of x that make the factors zero: 2/3 and 1/2.

The zeros of the given function f(x) are x ∈ {-1, 1/2, 2/3, 1}.