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3 years ago

Factor 81x²-25. Remember there is no middle term. This is a sum and difference of 2 squares.

Mathematics

1 answer:

natulia [17]3 years ago

5 0

Hey there!!

Basic formula :

... a² - b² = ( a + b ) ( a - b )

Equation given :

... 81x² - 25

... ( 9x )² - ( 5 )²

... ( 9x + 5 ) ( 9x - 5 )

Hope it helps!!

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Natasha_Volkova [10]

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3 years ago

Solve y=f(x) for x . f(x)=23x+4 x= Question 2 Find the input when the output is 2. The input is .

Fantom [35]

Let's find $f(x) = 2$ , which is essentially what the problem is asking, what $x$ corresponds to an output of 2.

Let's solve below:

$f(x) = 2$

Setting up what we know

$23x + 4 = 2$

Substituting in $23x + 4$ for $f(x)$ (I'm not sure if this is the correct expression for $f(x)$ due to formatting issues)

$23x = -2$

Subtract 4 from both sides to make a step to isolate $x$ (what we are trying to find)

$x = - \frac{2}{23}$

Divide both sides of the equation by 23 to isolate $x$

Thus the input is $\boxed{x = - \frac{2}{23}}$ .

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3 years ago

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iren2701 [21]

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3 years ago

POSSIBLE POINTS: 5.88

Bess [88]

The function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)

<h3>How to write a function of the length z in meters of the side parallel to the wall?</h3>

The given parameters are:

Perimeter = 210 meters

Let the length parallel to the wall be represented as z and the width be x

So, the perimeter of the fence is

P = 2x + z

This gives

210 = 2x + z

Make x the subject

x = 1/2(210 - z)

The area of the wall is calculated as

A = xz

So, we have

A = 1/2(210 - z) * z

This gives

A = z/2(210 - z)

Rewrite as

A(z) = z/2(210 - z)

Hence, the function of the length z in meters of the side parallel to the wall is A(z) = z/2(210 - z)