Which number sentence illustrates the commutative property of addition?

Which equation has the same solutions as 2x + x - 3 = 0?

Oksi-84 [34.3K]

Answer:

1 and 4 has same pairs of solution.

Step-by-step explanation:

Solutions for the given equations are:

\begin{gathered}1. (x+6)(x - 6) = 0\\(x+6) = 0, (x-6) = 0\\x = -6, x = 6\\\\2. (x + 6)(x + 6) = 0\\(x+6) = 0, (x+6) = 0\\x = -6, x = -6\\\\3. (x - 6)(x - 6) = 0\\(x-6) = 0, (x-6) = 0\\x = 6, x = 6\\\\4. (2x + 12)(2x - 12) = 0\\(2x+12) = 0, (2x-12) = 0\\x = -6, x = 6\\\\5. (2x - 12)(x - 12) = 0\\(2x-12) = 0, (x-12) = 0\\x = 6, x = 12\\\\6. (x+12)(x - 12) = 0\\(x+12) = 0, (x-12) = 0\\x = -12, x = 12\\\\7. (x +12)(x-6) = 0\\(x+12) = 0, (x-6) = 0\\x = -12, x = 6\end{gathered}

1.(x+6)(x−6)=0

(x+6)=0,(x−6)=0

x=−6,x=6

2.(x+6)(x+6)=0

(x+6)=0,(x+6)=0

x=−6,x=−6

3.(x−6)(x−6)=0

(x−6)=0,(x−6)=0

x=6,x=6

4.(2x+12)(2x−12)=0

(2x+12)=0,(2x−12)=0

x=−6,x=6

5.(2x−12)(x−12)=0

(2x−12)=0,(x−12)=0

x=6,x=12

6.(x+12)(x−12)=0

(x+12)=0,(x−12)=0

x=−12,x=12

7.(x+12)(x−6)=0

(x+12)=0,(x−6)=0

x=−12,x=6

(x+6)(x - 6) = 0 and (2x + 12)(2x - 12) = 0 have same pair of solutions.

Step-by-step explanation:

there you go :)

8 0

3 years ago

Find the values of x (there are two) when the ratio of the area of the shaded portion of the figure to the total area of the fig

Arada [10]

The values of x are x = -0.77 and x = 3.27

<h3>How to determine the value of x?</h3>

To calculate the value of x. we start by using the following equivalent ratio

2x : (3.5 + x + 1.5) = x + 0.5 : x + 1.5

Evaluate the like terms

2x : (5 + x) = x + 0.5 : x + 1.5

Express the ratio as a fraction

2x/5 + x = x + 0.5/x + 1.5

Cross multiply

2x(x + 1.5) = (5 + x)(x + 0.5)

Open the brackets

2x^2 + 3x = 5x + 2.5 + x^2 + 0.5x

Evaluate the like terms

x^2 - 2.5x - 2.5 = 0

Using a graphing calculator, we have

x = -0.77 and x = 3.27

Hence, the values of x are x = -0.77 and x = 3.27

Read more about triangles at:

brainly.com/question/17335144

#SPJ1

6 0

2 years ago

What type of number is this?

olganol [36]

Answer:

C.

Step-by-step explanation:

A repeating decimal is always rational I think.

I hope this helps!

7 0

3 years ago

The distribution of weights of potato chip bags filled off a production line is unknown. However, the mean is m=13.35 OZs and th

Nikitich [7]

Answer:

a) $\mu_{\bar X} =13.35$

e.none of the above

b) $\sigma_{\bar X}= \frac{0.12}{\sqrt{36}}= 0.02$

a.0.0200

c) $z = \frac{13.32-13.35}{\frac{0.12}{\sqrt{36}}}= -1.5$

$P(\bar X< 13.32)= P(z$

a.0.0668

d) $z = \frac{13.30-13.35}{\frac{0.12}{\sqrt{36}}}= -2.5$

$z = \frac{13.36-13.35}{\frac{0.12}{\sqrt{36}}}= 0.5$

$P(13.30$

c.0.6853

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(13.35,0.12)$