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Ymorist [56]
3 years ago
13

Suppose you are determining the growth rate of two species of plants. Species A is 25 cm tall and grows 3 cm per month. Species

B is 10 cm tall and grows 8 cm per month. Which system of equations models the height of each species H(m) as a function of months m.
H(m ) = 25 + 3m
H(m ) = 8 + 10m

H(m ) = 2 + 8m
H(m ) = 25 + 10m

H(m ) = 3 + 25m
H(m ) = 8 + 10m

H(m ) = 25 + 3m
H(m ) = 10 + 8m
Mathematics
2 answers:
jarptica [38.1K]3 years ago
7 0
If the growth rate is a constant, we can model it using a linear equation:

y = b + ax

where b = initial value, a = growth rate.
In this case, x = m = number of months.

Let's find the equation for the growth of each species.

Species A:
Initial height = b = 25 cm
Growth rate = a = 3 cm per month
So its height can be modeled by H(m) = 25 + 3m

Species B:
Initial height = b = 10 cm
Growth rate = a = 8 cm per month
So its height can be modeled by H(m) = 10 + 8m

Thus the answer is A: H(m) = 25 + 3m and B: H(m) = 10 + 8m.
faust18 [17]3 years ago
7 0

Answer: Here we are assuming a constant growth of the plant, so we can think it as an linear relationship of the form H = a*m + b

where a is the amount of cm that the plant grows every month, m is the number of months, and b is the initial height of the plant.

then for the first plant we got: the initial height is 25 cm, and it grows 3 cm per month, then Ha(m) = 3cm*m + 25cm

For the second plant, the initial height is 10 cm, and grows 8 cm per month, then his equation is Hb(m) = 8cm*m + 10cm

Then the correct answer is the fourth option.

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Answer:

we know that the initial price of the house is $190,000.

We also know that the expected increase is 1.8%, this means that the year zero we have no increase; the price is $190,000.

one year after we have an increase of the 1.8% (or 0.018 in decimal form), this means that the new price is:

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another year after, we have:

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The function that models the price as a function of the years, represented as y, is:

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If we want to know the price in 5 years, we need to replace y = 5 in the equation:

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3 years ago
What is the solution to the equation?
AleksandrR [38]

Solution of the equation: x=6\frac{1}{2}

Step-by-step explanation:

The equation that we have to solve in this problem is:

13\frac{3}{4}+x=7\frac{1}{4}

The first step to do is to rewrite the mixed fractions as improper fractions. We have:

13\frac{3}{4}=\frac{13\cdot 4+3}{4}=\frac{52+3}{4}=\frac{55}{4}

And

7\frac{1}{4}=\frac{7\cdot 4+1}{4}=\frac{29}{4}

So the equation becomes

\frac{29}{4}+x=\frac{55}{4}

Now we multiply by 4 each term on both sides, and we get

29+4x=55

Now we subtract 29 from both sides,

4x=55-29=26

And finally, we divide both sides by 4:

x=\frac{26}{4}=\frac{13}{2}=6\frac{1}{2}

Learn more about equations:

brainly.com/question/11306893

brainly.com/question/10387593

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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