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2 years ago

Nalani says the expression 9+7r cannot be factored using the GCF. Is she correct? Explain why or why not

Mathematics

1 answer:

miv72 [106K]2 years ago

3 0

Answer:

Nalani is correct.

Step-by-step explanation:

Given - Nalani says the expression 9+7r cannot be factored using the GCF.

To find - Is she correct? Explain why or why not.

Proof -

GCF - Greater Common factor

Given that, the expression is - 9 + 7r

HCF(9, 7) = 1

So , we can not factor the expression.

i.e. there does not exist any number who is a multiple of 9 and 7 both.

So,

Nalani is correct.

Example -

Let the expression be 24 + 18x

HCF(24, 18) = 6

So,

24 + 18x = 6(4 + 3x)

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Kobotan [32]

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Step-by-step explanation:

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6 0

2 years ago

Read 2 more answers

Ill give brainiest for the one who answers all the question

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2 years ago

Karma is building a rectangular table with an area of 18,000 cm?. He wants to put wood trim around the four edges. What is the s

jok3333 [9.3K]

The shortest length is given by the function for the perimeter of the

rectangular table.

The shortest length of trim he could use is 536.66 cm

<h3>Method used for finding the shortest length of trim</h3>

The given parameter;

Area of the rectangular table Karma is building, A = 18,000 cm²

Required:

The shortest length of trim he could use which he wants to put around the four edges.

Solution:

Let l represent the length of the table, and let w represent the width, therefore;

Perimeter of the table, P = 2·l + 2·w

Area, A = l × w

Which gives;

18,000 = l × w

$l = \dfrac{18,000}{w}$

Which gives;

$P = 2 \cdot \dfrac{18,000}{w} + 2 \cdot w$

At the minimum point, we have;

$\dfrac{d}{dw} P = \dfrac{d}{dw} \left(2 \cdot \dfrac{18,000}{w} + 2 \cdot w\right)= \mathbf{\dfrac{2 \cdot w^2 - 36,000}{w^2} }= 0$

Which gives;

2·w² - 36,000 = w² × 0 = 0

2·w² = 36,000

$w^2 = \dfrac{36,000}{2} = 18,000$

The width of the rectangular table, w = √(18,000)

$Length \ of \ the \ table\ l = \dfrac{18,000}{\sqrt{18,000} } = \sqrt{18,000}$

Therefore;

The perimeter of the table, P ≈ 2 × √(18,000) + 2 × √(18,000) ≈ 536.656

The length of trim required = The perimeter of the rectangular table, P

Therefore;

The shortest length of the trim he could use, given to the nearest hundredth is 536.66 cm

Learn more about area and perimeter of a figure here:

brainly.com/question/9135929

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Answer:

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2 years ago

Nalani says the expression 9+7r cannot be factored using the GCF. Is she ​correct? Explain why or why not

Nalani says the expression 9+7r cannot be factored using the GCF. Is she correct? Explain why or why not