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Dahasolnce [82]
2 years ago
11

Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the

weekly weed growth: f(x) = 197(1.25)x. Rewrite the function to show how quickly the weeds grow each day and calculate this rate as a percentage.
Mathematics
2 answers:
olganol [36]2 years ago
8 0

Answer:

 none of the above

 f(x) ≈ 197·1.03^x; approximately 3% daily

Step-by-step explanation:

If we let x represent days, then x/7 represents weeks and we can rewrite f(x) as ...

 f(x/7) = 197·1.25^(x/7) = 197·(1.25^(1/7))^x

 f(x) ≈ 197·1.03^x

__

The daily multiplier of 1.03 represents a daily growth rate of

 1.03 -1 = .03 = 3%

_____

These answers are not found among the offered choices:

f(x) = 197·1.03^x

3% daily growth

Step-by-step explanation:

malfutka [58]2 years ago
4 0

Answer:

This is not an answer but the other guy stole that answer fro the same question

Step-by-step explanation:

you didn't put options for the answers

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An amusement park ride has cars that move around a circular track at the rate of 16 revolutions in 20 seconds. To the nearest hu
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Answer:

5.03\frac{rad}{sec}

Step-by-step explanation:

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0.8\frac{rev}{sec}=0.8*(2\pi)=1.6 \pi\frac{rad}{sec}

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6 0
3 years ago
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Answer:

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Step-by-step explanation:

3 0
2 years ago
What is the greatest common factor of 15 and 42
lukranit [14]

Answer:

3

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
Which binomial is a factor of 49x^2+84xy+36y^2
sweet-ann [11.9K]

7x + 6y is a binomial that is a factor of given equation

<em><u>Solution:</u></em>

A binomial is a mathematical expression which has only two terms

<em><u>Given expression is:</u></em>

49x^2 + 84xy + 36y^2

We have to find the binomial that is a factor to given expression

Let us find the factors of given equation

49x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}49x^2+84xy+36y^2\mathrm{\:as\:}\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\mathrm{Rewrite\:}49\mathrm{\:as\:}7^2\\\\7^2x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\7^2x^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\7^2x^2=\left(7x\right)^2\\\\Therefore,\\\\\left(7x\right)^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\6^2y^2=\left(6y\right)^2\\\\

Therefore\\\\\left(7x\right)^2+84xy+\left(6y\right)^2\\\\\mathrm{Rewrite\:}84xy\mathrm{\:as\:}2\cdot \:7x\cdot \:6y\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\

\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=7x,\:b=6y\\\\Therefore,\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2 = \left(7x+6y\right)^2

Thus we get,

49x^2 + 84xy + 36y^2 = (7x+6y)^2\\\\49x^2 + 84xy + 36y^2 =  (7x+6y)(7x+6y)

Thus the binomial which is a factor is 7x + 6y

6 0
3 years ago
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