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Lostsunrise [7]
3 years ago
6

To solve the equation below by completing the square, what is your first step? 3x^2+18x=21

Mathematics
1 answer:
Margarita [4]3 years ago
6 0

Answer:

Multiply both sides of the equation by 1/3

Step-by-step explanation:

3x^2+18x=21

The first step is to get the x term with a coefficient of 1, so divide by 3 on both sides of the equation

This is the same as multiplying by 1/3

1/3 * (3x^2+18x)=21*1/3

x^2 +6x = 7

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Michael’s weight can be represented by the expression 72x^5. Al’s weight can be represented by the expression 9x^7.
podryga [215]

Answer:

a) \frac{72x^5}{9x^7}

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Step-by-step explanation:

Michael's Weight: 72x^5

Al's weight: 9x^7

a) Ratio of Michael's weight to Al's weight: \frac{72x^5}{9x^7}

b) This ratio simplifies to:  \frac{8\times 9x^5}{9x^5\timesx^2}

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c) Yes, If the exponent in each expression were negative, then we have:

Ratio of Michael's weight to Al's weight: \frac{72x^{-5}}{9x^{-7}}

This ratio simplifies to:  8x^{-5--7}=8x^2

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3 years ago
10 POINTS Math unit 5.11! PLEASE HELP
agasfer [191]

To write the function to show the weekly growth rate of population , we first find the weekly growth rate by dividing yearly growth rate by 52 ( as there are 52 weeks in an year)

Given function is ,

P=120(1.016)^t

or

P=120(1+0.016)^t

To convert in weekly growth rate , divide 0.016 by 52

So formula for weekly growth rate of population is

P=120(1+ \frac{0.016}{52})^{52t}

or

P=120(1+ \frac{1}{3250})^{52t}

And the weekly growth rate = \frac{1}{3250}

7 0
3 years ago
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