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sashaice [31]
3 years ago
8

Which expression is equivalent to square root of 9x^2?

Mathematics
2 answers:
-Dominant- [34]3 years ago
7 0
Let's take the square root of this

√(9x^2)

To make this easier, let's use the following property of roots.

√(ab) = √(a) * √(b)

Let's separate the square root into two different square roots.

√(9x^2)
= √(9) * √(x^2)

Now, let's solve for each square root individually.

√(9) = 3
√(x^2) = x

Now, combine them

3 * x = 3x

3x is your answer.

Have an awesome day! :)
wariber [46]3 years ago
6 0
9x^2 can be rewritten as 9*x*x or 3*3*x*x
You can think of 3*3*x*x as 3x*3x which is (3x)^2.

Now we can take the square root of (3x)^2 (which equals 9x^2).

√(3x)^2
The √ and the ^2 cancel out so you are left with 3x.

So, √
9x^2 = √(3x)^2 = 3x.

3x is your answer!
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Write this radical in simplest form:
elena-14-01-66 [18.8K]

Answer:

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3 years ago
Ben has a cell phone plan that provides 200 free minutes each month for a
user100 [1]

Answer:

The piecewise functions accurately represents charges  based on Ben's cell phone plan is :

f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}

Step-by-step explanation:

Let x be the minutes over cell phone

Let f(x) represents the piecewise function that represents the charges based on Ben's cell phone plan.

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a  flat rate of $39.

So,f(x)= 39, x \leq 200

We are also given that  For any minutes over 200, Ben is charged $0.35 per minute.

So, Minutes over 200 = x-200

f(x)=39 + 0.35(x - 200), x > 200}

Hence the piecewise functions accurately represents charges  based on Ben's cell phone plan is :

f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}

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3 years ago
How many gallons of water will be in the fish tank after 3 minutes? how can you explain your answer
Lera25 [3.4K]

The question is incomplete, the complete question is;

If in 0.5 min the tank gets 0.8 gallons of the water then

how many gallons will be in 1 min ?

how many gallons will be in 3 min?

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Step-by-step explanation:

This question has to do with proportion.

If it takes 0.5 mins for the tank to get 0.8 gallons

in 1 minute the tank will get 0.8 * 1/0.5 = 1.6 gallons

In 3 minutes the tank will get 3 * 1.6 gallons = 4.8 gallons

if it takes 1 min to get 1.6 gallons

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