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2 years ago

The equation and graph show the cost to rent movies

Mathematics

1 answer:

Rufina [12.5K]2 years ago

4 0

Answer:

Hello! Your answer should be there is a higher rate of change at Company 1.

Step-by-step explanation:

Hope this helped! :)

Have a great rest of your day!

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Marco is going to a local fair. He spends $5 on admission to the fair. He wants to go on rides that cost $0.75 per ride. Write a

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3 years ago

14 is a blank of 7 and 14

LiRa [457]

14 is a multiple of 7 and 14

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2 years ago

What is the system of measurement used most in the United States?

Simora [160]

U.S customary system also known as the English system.

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3 years ago

A small college has 800 students, 10% of which are left-handed. Suppose they take an SRS of 8 students.

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Step-by-step explanation:

Khan

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2 years ago

Find the largest prime divisor of $15^6 - 7^6$<img src="https://tex.z-dn.net/?f=Find%20the%20largest%20prime%20divisor%20of%20%2

Novosadov [1.4K]

Answer:

Largest prime factor of the given expression is <em>379.</em>

Step-by-step explanation:

Given the expression:

$15^6 - 7^6$

To find:

The largest prime factor of the given expression.

Solution:

First of all, let us factorize the given expression.

$15^6 - 7^6\\\Rightarrow (15^3)^2 - (7^3)^2\\\\\text{Using } x^{2} -y^2 = (x+y) (x-y)\\\\\Rightarrow (15^3+7^3)(15^3-7^3)$

Let us learn two formula:

$x^3+y^3 = (x+y)(x^2+y^2-xy)$

$x^3-y^3 = (x-y)(x^2+y^2+xy)$

Applying the above formula in the expression written above:

$(15^3+7^3) = (15+7)(15^2+7^2-15\times 7)\\\Rightarrow 22(225+49-105 ) = 2 \times 11 \times 169 \\\Rightarrow 2 \times 11\times 13\times 13\\\Rightarrow 2 \times 11\times 13^2$ ...... (1)

Similarly:

$(15^3-7^3) = (15-7)(15^2+7^2+15\times 7)\\\Rightarrow 8(225+49+105 ) = 2^3 \times 379$ ........ (2)

Multiplying the expressions from (1) and (2) to get the result:

$\therefore 15^6 - 7^6 = 2^4 \times 11 \times \underline{\bold{379}} \times 13 ^2$

So, largest prime factor of the given expression is <em>379.</em>

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2 years ago