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3 years ago

Convert the equation 3x+2y=14 to slope intercept form

Mathematics

1 answer:

nika2105 [10]3 years ago

5 0

Answer:

y= -3/2x+7

Step-by-step explanation:

3x+2y=14

-3x on both sides

2y=-3x+14

/2 on both sides

y=-3/2x+7

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You find one quarter, two dimes ,and two nickels. A. Write the dollar amount as a decimal. B.Write the dollar amount as a fracti

snow_tiger [21]

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2 years ago

Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.

gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

$\frac{3^{n+4} - 3^n}{16}$

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

$\frac{3^{n+4} - 3^n}{16}$ becomes

$\frac{3^n * 3^4 - 3^n}{16}$

Factorize

$\frac{3^n(3^4 - 1)}{16}$

$\frac{3^n(81 - 1)}{16}$

$\frac{3^n(80)}{16}$

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

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3 years ago

4/6 x what equals 8/6

Sidana [21]

Answer: 4/6

1. Subtract 8/6 by 4/6.

8/6 - 4/6 = 4/6

4/6 + 4/6 = 8 is the same as:

4 + 4 = 8

<em>Notice: You don't change the denominator if your adding or subtracting.</em>

<em />

<h2>Final answer: 4/6. </h2>

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2 years ago

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pishuonlain [190]

Answer:

numbers are 3x,2x,5x

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so x=84

so numbers are 252,168,420

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2 years ago

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nata0808 [166]

well i have to see the equation to know

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3 years ago