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tino4ka555 [31]
2 years ago
7

Use the grouping method to factor the polynomial below completely.

Mathematics
1 answer:
Dmitry [639]2 years ago
4 0

Step-by-step explanation:

You can let me know, but i dont think -3x² is supposed to be squared in this question because then it would make it unsolvable.

5x-15

can be simplified to 5(x-3)

x²-3x

can be simplified to x(x-3)

Then u rewrite it (5 + x)(x - 3)

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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>

<h3>PART A.</h3>

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)}

<h3>PART B.</h3>

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>

<h3>PART C.</h3>

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
1
svetoff [14.1K]

Answer:

1/2 ornament in an hour

Step-by-step explanation:

Given

Orna\ ments = 2

Time = 4

Required

Determine the ornaments per hour

This question implies that we calculate the unit rate.

Unit\ Rate = \frac{Orna\ ments}{Time}

Substitute values for Time and number of ornaments

Unit\ Rate = \frac{2}{4}

Unit\ Rate = \frac{1}{2}

<em>This implies that Constance can decorate 1/2 ornaments in an hour</em>

3 0
2 years ago
To add integers with the same sign
Mariana [72]

Arithmetic

-3-2=5

because

-3-2

=

-3 + -2

3 negatives + 2 negatives = 5 negatives

5 0
3 years ago
Read 2 more answers
Which choice is equivalent to the product below? √(6/8)•√(6/18) A. 6/12 B. 1/4 C. 7/12 D 3/4 E. 7/1​
adoni [48]

Answer:6/12

Step-by-step explanation: ap ex

3 0
2 years ago
Read 2 more answers
I need help solving a system of linear equation, and it says to solve it by Substitution.
olga_2 [115]
2x - 3y = -24
x+ 6y = 18

you solve the first one by the x:

2x = -24 + 3y

x = (-24+3y)/2

then you substitute what you found in the other equation and you solve by y

(-24+3y)/2 + 6y = 18                   multiply everything by 2

-24 + 3y + 12y = 36

3y + 12y = 36 + 24

15y = 60

y = 60/15

y = 4

Good job! You found your y! :D

Now let's substitute the y in the first equation with 4:

2x - 3(4) = -24

2x - 12 = -24

2x = -24 + 12

2x = -12

x = -12/2

x= -6

Done!! ;) <span />
6 0
3 years ago
Read 2 more answers
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