3 years ago

Please give me the correct answer.ACE,Moderator,Genius,and Expert please help me.

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

3 0

Answer:

Initial value is (0 , 24) or just y = 24

Step-by-step explanation:

Initial value of a linear function is the y intercept

y = -3x + 24

x = 0, y = 24

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dsp73

Answer:

Cubed root of 9

Step-by-step explanation:

3^(2/3)

=³√3²

= ³√9

4 0

3 years ago

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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

Four times -3+ two times negative5 exponent 3

Makovka662 [10]

-262

Hope it helps ❤️

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3 years ago

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A bag of skittles candy was found to have 15% of the candies to be red, 15% were orange, 10% yellow and 20% green. The rest were

harkovskaia [24]

It is a very low probability because forty percent is purple

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3 years ago

$119 croquet set 50% discount

natta225 [31]

119 times .5 equals $59.5

$119-$59.5=$59.5

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3 years ago

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Please give me the correct answer.ACE,Moderator,Genius,and Expert please help me.​

Please give me the correct answer.ACE,Moderator,Genius,and Expert please help me.