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3 years ago

Can someone please explain this.

Mathematics

1 answer:

Vitek1552 [10]3 years ago

5 0

Answer:

The correct option is option A

Step-by-step explanation:

We have the following expression:

sqrt(18x^3) - sqrt(9x^3) + 3sqrt(x^3) - sqrt(2x^3)

We know that sqrt(a*b) = sqrt(a)sqrt(b)

Applying this, we have:

sqrt(18)sqrt(x^3) - 3sqrt(x^3) + 3sqrt(x^3) - sqrt(2)sqrt(x^3)

sqrt(x^3)[ sqrt(18) - sqrt(2)]

sqrt(x^3)[ 3sqrt(2)- sqrt(2)]

sqrt(x^3)[2sqrt(2)]

Then we now that:

sqrt(x^3)[2sqrt(2)] = 2x*sqrt(2x)

The correct option is option A

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lana66690 [7]

Answer:

$length=4\ cm\\width=6\ cm$

Step-by-step explanation:

Given the rectangular poster shown in the picture, you know that its dimensions (its width and its lenght) are:

$w_1=24\ cm\\l_1=16\ cm$

In order to calculate the dimensions of the rectangular at $\frac{1}{4}$ times its current size, you need to multiply the original lenght by $\frac{1}{4}$ and multiply the original width by $\frac{1}{4}$ .

Knowing this, you get:

$w_2=w_1\frac{1}{4}\\\\w_2=(24\ cm)(\frac{1}{4})\\\\w_2=6\ cm\\\\\\l_2=l_1\frac{1}{4}\\\\l_2=(16\ cm)(\frac{1}{4})\\\\l_2=4\ cm$

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3 years ago

Graph the following non-linear system of equations and identify the two solutions. y=2x −7x+3y=3 What type of function is the eq

Ivanshal [37]

The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value x = 3 , y = 8 .

<h3>What is a Equation ?</h3>

An Equation is a mathematical statement which relates two algebraic expression with an equal sign in between.

The equations given in the question is

y = 2ˣ

This is an exponential function

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This is a linear function

The equations have been plotted and the solution to the non linear system of equation has been determined

The point at which the graphs intersect is the solution to the system of non -linear equations.

(0,1) and (3,8)

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To know more about Equation

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sveticcg [70]

Answer:

a) there is s such that r>s and s is positive

b) For any r>0 , there exists s>0 such that s<r

Step-by-step explanation:

a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.

b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.

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