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son4ous [18]
3 years ago
12

An environmentalist tracks the total number of trees y in a park after x years of a planting program. The line of best fit for t

he data is represented by the equation y = 4x + 15. What is the percent change in the total number of trees from x = 3 to x = 6? Round your answer to the nearest percent.
Mathematics
1 answer:
guapka [62]3 years ago
3 0

Answer:

44.4%

Step-by-step explanation:

Given that:

Equation of best fit : y = 4x + 15

Where, y = number of trees x years after a planting program

When x = 3

y = 4(3) + 15 = 12 + 15 = 27 trees

When x = 6

y = 4(6) + 15 = 24 + 15 = 39 trees

Percentage change in total number of trees:

((39 - 27) / 27) * 100%

(12 / 27) * 100%

0.44444 * 100%

= 44.4%

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What is the solution to the following system of equations?
kipiarov [429]

Answer:

(0, -6)

Step-by-step explanation:

Given the following systems of linear equations;

3x - 2y = 12 ...... equation 1

16x - 4y = 24 ........ equation 2

We would solve for the solution using the elimination method;

Multiplying eqn 1 by 2, we have;

2 * (3x - 2y = 12)

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16x - 4y = 24

Subtracting the two equations, we have;

(6x - 16x) + (-4y -[-4y]) = (24 - 24)

-10x - 0 = 0

-10x = 0

x = -0/10 = 0

Next, we would find the value of y;

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y = -12/2

y = -6

Check:

3x - 2y = 12

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Note: the options provided for this questions are incorrect or inappropriate.

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Match each irrational number line on which it is represented 2.18112... 2.1823912 2.364125 2.1829391321
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Answer:

See Explanation

Step-by-step explanation:

The number lines to make selection from are missing from the question.

<em>However, I've attached 4 number lines, each of which represents each of the given irrational numbers (see attachment)</em>

<em></em>

<u>Number: 2.1823912</u>

This is represented by number line 1

Each point of number line 3 is 0.001 units starting from 2.18;

The point which the red dot is located is between 2.182 and 2.183, but the dot is closer to 2.182.

<em>2.1823912 and 2.1829391321 satisfy this property but number line 2 represents 2.1829391321 (see below for explanation)</em>

So: 2.1823912 is represented by number line 1

<u></u>

<u>Number: 2.1829391321</u>

This is represented by number line 2.

Each point of number line 3 is 0.0001 units starting from 2.182;

The point which the red dot is located is between 2.1829 and 2.1830, but the dot is closer to 2.1829.

From the list of given numbers, only 2.1829391321 satisfy this property.

<em />

<u>Number: 2.18112...</u>

This is represented by number line 3.

Each point of number line 3 is 0.01 units starting from 2.11;

The point which the red dot is located is between 2.18 and 2.19.

If number lines 1 and 2 represent 2.1823912 and 2.1829391321, respectively, then number line 3 represents 2.18112.

<u></u>

<u>Number: 2.364125 </u>

This is represented by number line 4.

Each point on this number line is 0.1 unit starting from 2.0;

The point which the red dot is located is between 2.30 and 2.40. From the list of given numbers, only 2.364125  satisfy this property.

7 0
3 years ago
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