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jekas [21]
3 years ago
14

Item 19 a plant has an initial height of 3 inches and grows at a constant rate of 2 inches each month. a second plant that also

grows at a constant rate has an initial height of 1 inch and is 29 inches tall after 1 year. after how many months are the plants the same height?
Mathematics
1 answer:
Levart [38]3 years ago
4 0

Answer: 6 months


Step-by-step explanation:

1. If the first plant has an initial height of 3 inches and grows at a constant rate of 2 inches each month, you can write the following expression:

h=2m+3

Where h is the height and m is tshe number of months.

2. The constant rate of growth of the second plant is:

rate=\frac{29in-1in}{12months}=2.33inches/month

3. Then, the expression is:

h=2.33m+1

4. Equal both equations and solve for m:

2m+3=2.33m+1\\0.33m=2\\m=6.0

5. Therefore, the plants have the same height after 6 months.



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Purchasing power is the value of a currency expressed in terms of the amount of goods or services that one unit of money can buy. A rate of return is the annual percentage return realized on an investment, which is adjusted for changes in prices due to inflation or other external effects.
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3 years ago
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andrew11 [14]

The slope is 4 and the y-intercept is \frac{2}{3}

Step-by-step explanation:

The general form of a linear equation is Ax + By + C = 0, where

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  • C is the numerical term
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∵ The linear equation is 0 = 2 - 3y + 12x

- Switch the two sides and arrange the terms as the general

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∴ 12x - 3y + 3 = 0

∴ A = 12

∴ B = -3

∴ C = 2

∵ The slope of the line = \frac{-A}{B}

- Substitute A by 12 and B by -3

∴ The slope of the line = \frac{-12}{-3}

∴ The slope of the line = 4

∵ The y-intercept = \frac{-C}{B}

- Substitute C by 2 and B by -3

∴ The y-intercept = \frac{-2}{-3}

∴ The y-intercept = \frac{2}{3}

The slope is 4 and the y-intercept is \frac{2}{3}

Learn more:

You can learn more about the linear equation in brainly.com/question/4819659

#LearnwithBrainly

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3 years ago
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Answer:

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Step-by-step explanation:

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Below.

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2 years ago
Ten different numbers are written on pieces of paper and thrown into a hat. The sum of all the numbers is 205. What is the proba
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Answer:

The probability is 40%

Step-by-step explanation:

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