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Luba_88 [7]
3 years ago
13

Simplify 2(x+3)-4 showing each step

Mathematics
2 answers:
Alex3 years ago
7 0
To simplify this, we first need to distribute the 2 into the parenthesis.

= 2 * x + 2 * 3 - 4

Now, we can simplify:

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

Hope this helps!
krek1111 [17]3 years ago
6 0
Okay, we want to start with having the original expression for the first step.

2(x+3)-4
We can use distributive property to get rid of the parenthesis. So I will be multiplying everything inside the parenthesis by the 2.

2x + 6 - 4
The reason I didn’t multiply the four by two was because the four is outside of the parenthesis. Right now, we can add like terms. Four is basically negative since it has a subtraction sign outside of it and six is positive ( this is the same as doing 6-4, I’m just calling it negative because as you get used to simplifying expressions, you have to think of it that way).

6+(-4)=6-4=2
Now we have all the like terms added, we can find our simplified expression.
2x+2
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3 0
3 years ago
−2x=x2−6 Rewrite the equation by completing the square.
V125BC [204]

Answer:

(x + 1)² = 7

Step-by-step explanation:

Given:

-2x = x² - 6

We'll start by rearranging it to solve for zero:

x² + 2x - 6 = 0

The first term is already a perfect square so that's fine.  Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.

Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term.  That value will of course be 1, giving us:

x² + 2x + 1 - 1 - 6 = 0

Now can group our perfect square on the left and our constants on the right:

x² + 2x + 1 - 7= 0

x² + 2x + 1 = 7

(x + 1)² = 7

To check our answer, we can solve for x:

x + 1 = ± √7

x = -1 ± √7

x ≈ 1.65, -3.65

Let's try one of those in the original equation:

-2x = x² - 6

-2(1.65) = 1.65² - 6

- 3.3 = 2.72 - 6

-3.3 = -3.28

Good.  Given our rounding that difference of 2/100 is acceptable, so the answer is correct.

6 0
3 years ago
Please help. I will give brainliest.
jolli1 [7]
The value calculated by adding all the values of in a data set and dividing the sum by the number of values → Mean

The middle value when all the values are in order from least to greatest → Median

The value that appears most often in a data set → Mode

Hope this helped :)
8 0
3 years ago
If h(-8), find 1/3*h(x) = x^2-5x+7
Lynna [10]

The value is 333

<h3>How to determine the function</h3>

From the information given, we have:

  • x = - 8
  • 1/3*h(x) = x^2-5x+7

Now, let's substitute the value of 'x' in the function:

1/3*h(x) = x^2-5x+7

1/ 3 × h(-8) = ( - 8)² - 5 ( -8) + 7

Make 'h ( -8)' the subject of formula

h ( -8) = \frac{( -8)^2 - 5(-8) + 7}{1/ 3}

h ( -8) = \frac{64 + 40+ 7 }{1/ 3}

Take the sum of the numerator

h ( -8) = \frac{111}{1/3}

Take the inverse of the denominator and multiply

h ( -8) = 111 × 3/ 1

h ( -8) = 333

We can see that through the substitute of the value of x as - 8, we get 333

Thus, the value is 333

Learn more about algebraic expressions here:

brainly.com/question/723406

#SPJ1

7 0
2 years ago
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