All categories

4 years ago

What is the simplified expression for Negative 3 (2 x minus y) + 2 y + 2 (x + y)?

Mathematics

2 answers:

Agata [3.3K]4 years ago

8 0

Answer:

7y-4x

Step-by-step explanation:

Lana71 [14]4 years ago

5 0

Answer:

$7y - 4x$

Step-by-step explanation:

$-3 (2x-y)+2y+2(x+y)\\$

Step 1: Open the brackets

$= -6x+3y +2y +2(x+y)\\=-6x +3y + 2y +2x + 2y$

Step 2: Bring the similar variables together

$=-6x +2x \ +3y + 2y + 2y$

Step 3: Simplify by adding/subtracting the coefficients of the similar variables

$= - 4x +7y$

Step 4: Rearrange as required.

You might be interested in

Identify the segment bisector of RS number 4 lesson 1.3

lukranit [14]

<h2>Complete Question:</h2>

Identify the segment bisector of RS. Then find RS:

Also, see attachment for the image being referred to.

<h2>The segment bisector of $\overline{RS}$ is $\overrightarrow{MA}$ </h2><h2> $\overline{RS} = 18$ </h2>

<u><em>Recall:</em></u>

A segment bisector is a line or part of a line that divides a segment into two equal segments or parts.

<em>Thus</em>:

From the image in number 4, we have line RS that is divided by $\overrightarrow{MA}$ into two equal segments, namely:

RM and MS

The segment bisector of $\overline{RS}$ is therefore $\overrightarrow{MA}$ .

<em>Thus</em>:

$RM = MS = 9$ (equal segments)

$RM + MS = RS$ (segment addition postulate)

<em>Substitute:</em>

$9 + 9 = \overline{RS}\\18 = \overline{RS}\\\overline{RS} = 18$

<em>Therefore</em>:

The segment bisector of $\overline{RS}$ is $\overrightarrow{MA}$

$\overline{RS} = 18$

Learn more here:

brainly.com/question/20046572

6 0

3 years ago

Which undefined term is used to define an angle

White raven [17]

Answer: The "point" is the undefined term you are looking for to define an angle.

5 0

3 years ago

Read 2 more answers

What is the equation of the tangent line passing through the point (0, 3) of the graph of the function f(x) = x2 − 2x + 3?

Sergeeva-Olga [200]

Answer:

y = -2x + 3

Step-by-step explanation:

The given equation is:

$f(x)=x^2-2x+3$

First we need to find the slope of the tangent line. This can be done by finding the derivative of the given function.

$f'(x)=2x-2$

Slope of the tangent will be the value of the derivative at the given point. So the slope of tangent is:

$f'(0)=2(0)-2=-2$

Now we have slope of the tangent line and a point (0, 3) on the tangent. The point (0,3) is the y-intercept of the tangent line. So we can use slope-intercept form to directly write the equation of the line.

The slope intercept form of an equation is:

y = mx + c

where m is the slope and c is the y-intercept.

Using the values: m = -2 and c = 3, we get:

y = -2x + 3

This equation represents the tangent line

8 0

4 years ago

The amount of coffee that a filling machine puts into an 8-ounce jar is normally distributed with a mean of 8.2 ounces and a sta

nordsb [41]

Answer:

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018$

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce?

This is the pvalue of Z when X = 8.2 + 0.02 = 8.22 subtracted by the pvalue of Z when X = 8.2 - 0.02 = 8.18. So

X = 8.22

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.22 - 8.2}{0.018}$

$Z = 1.11$

$Z = 1.11$ has a pvalue of 0.8665

X = 8.18

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.18 - 8.2}{0.018}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335

0.8665 - 0.1335 = 0.7330

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

8 0

4 years ago

What is the area, in square meters, of the trapezoid below?

Sphinxa [80]

Answer: 94.54 m^2 (square meters)

Step-by-step explanation: The formula for the area of a trapezoid is A = 1/2(a+b)h; where a and b are the two top sides of the trapezoid that are parallel. Let us then solve.

Let us combine both sides two maintain the overall side for "b", which is 18 + 5.1 = 23.1

Let us now add both sides (a + b.) 23.1 + 9.5 is 32.6. We can now multiply by the height. 32.6 multiplied by 5.8 is 189.08

We can now divide (or multiply by 1/2), which is 189.08 * 1/2 or 189.08/2 and that equals 94.54.

6 0

3 years ago

Read 2 more answers