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3 years ago

What is 6x-13<6(x-2)

Mathematics

2 answers:

ohaa [14]3 years ago

8 0

For this case we have the following inequality:

$6x-13$

To find the solution we follow the steps below:

We apply distributive property on the right side of inequality:

$6x-13$

Adding 13 to both sides of the inequality we have:

$6x$

We subtract 6x on both sides of the inequality:

$0$

Thus, we have that any value of "x" makes the inequality fulfilled. Thus, the solution is given by all real numbers.

Answer:

The solution set is (-∞,∞)

Cloud [144]3 years ago

3 0

Answer:

(-infinity, infinity)

Step-by-step explanation:

6x-13<6(x-2)

6x-13<6x-12

6x-6x<-12+13

0<1

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Help it’s slope idk how to do it

Over [174]

a. $\boxed{y-602=\frac{2}{3}(x-3)}$

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

$P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)$

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

$y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line$

Finding (m):

$Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\ P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}$

Finally, the equation of the line is:

$(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}$

In this case, we have that:

The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
The y-axis represents the <em>Height of the Tree </em>in inches.

Since the slope o a line is:

$Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}$

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

The y-intercept can be found setting $x=0$ . So, from our equation:

$y-602=\frac{2}{3}(x-3)} \\ \\ \\ If \ x=0: \\ \\ y-602=\frac{2}{3}(0-3) \\ \\ y-602=-2 \\ \\ Solving \ for \ y: \\ \\ y=602-2 \\ \\ y=600$

So the y-intercept is $y=600$ and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>

<h2>Learn more:</h2>

Slope Intercept form: brainly.com/question/4192440

#LearnWithBrainly

4 0

3 years ago

For the standard form of two billion three Hundred fifty thousand four Danielle wrote 2,350,400,000 what error did she make what

Leona [35]

I believe the correct answer is 2,300,500,004

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3 years ago

-2n( m^2 - m -3 ) =

kogti [31]

Answer:

$=-2nm^2+2nm+6n$

Step-by-step explanation:

$-2n\left(m^2-m-3\right)\\\mathrm{Distribute\:parentheses}\\=\left(-2n\right)m^2+\left(-2n\right)\left(-m\right)+\left(-2n\right)\left(-3\right)\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab\\=-2nm^2+2nm+2\cdot \:3n\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6\\=-2nm^2+2nm+6n\\$

4 0

3 years ago

Read 2 more answers

POSSIBLE POINTS: 10

Nadusha1986 [10]

Answer:

5 + 3t

Step-by-step explanation:

t = amount Tanya has

Lucy = $5 more than 3x of what Tanya has

5 0

3 years ago

A 20 foot extension ladder is placed in a wall making an angle of elevation for 85 degrees with the ground. If a person at the t

snow_tiger [21]

Answer:

21.74 ft

Step-by-step explanation:

We use Cosine because we are dealing with the Adj and Hyp

Cos 85 = x/20

x = 20 Cos 85

x = 1.74 feet away from the base of the wall.

Since the ladder is 20 foot long, the total distance will be 1.74 + 20 = 21.74 ft

8 0

3 years ago