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3 years ago

What are the factors of x2 − 81? (x + 9)(x − 9) (x − 9)(x − 9) (x + 3)(x − 27) Prime

Mathematics

2 answers:

Kaylis [27]3 years ago

6 0

X^2-81=x^2-9^2=(x+9)(x-9)

this is the answer

stiv31 [10]3 years ago

3 0

Answer: The correct option is (A) $(x+9)(x-9).$

Step-by-step explanation: We are given to select the factors of the following quadratic expression :

$E=x^2-81~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following factorization formula :

$a^2-b^2=(a+b)(a-b).$

From (i), we have

$E\\\\=x^2-81\\\\=x^2-9^2\\\\=(x+9)(x-9).$

Thus, the factored form of the given expression is $(x+9)(x-9).$

Option (A) is CORRECT.

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christy uses glass beads to make braclets and necklances it takes her 30 minutes to make a bracelet and 45 minites to make a nec

shtirl [24]

Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit

<h3>How to determine how many bead of each type of bracelets and necklaces should Christy make to maximize his profit?</h3>

The given parameters can be represented in the following tabular form:

Bracelet (x) Necklace (y) Total

Labor (hour) 0.5 0.75 40

Profit 10 18

From the above table, we have the following:

Objective function:

Max P = 10x + 18y

Subject to:

0.5x + 0.75y <= 40

Because she wants to make at least 30 bracelets, we have:

x >= 30

So, we have:

Max P = 10x + 18y

Subject to:

0.5x + 0.75y <= 40

x >= 30

Express x >= 30 as equation

x = 30

Substitute x = 30 in 0.5x + 0.75y <= 40

0.5 * 30 + 0.75y <= 40

This gives

15 + 0.75y <= 40

Subtract 15 from both sides

0.75y <= 30

Divide by 0.75

y <= 40

Hence, Christy should make at least 30 bracelets and at most 40 necklaces to maximize profit

Read more about maximizing profits at:

brainly.com/question/13799721

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4 0

7 months ago

Calculus: Help ASAP

Serggg [28]

$\bf \displaystyle \int\limits_{-1}^{0}~(4x^6+2x)^3(12x^5+1)\cdot dx\\\\
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$\bf \textit{now, we'll change the bounds, using u(x)}
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u(0)=4(0)^6+2()\implies u(0)=0\\\\
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2 years ago

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2 years ago

For which value of x must the expression √37x be further simplified?

vekshin1

Answer:

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Step-by-step explanation:

Since it has a square root you can square it to get rid of it so your final answer is 37x

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