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blondinia [14]
2 years ago
10

graph the linear equation. find three points that solve the equation, then plot them on the graph. 5x-4y=-18

Mathematics
1 answer:
babymother [125]2 years ago
7 0
Hhhhhhhbhiggbxdhnbfd
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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>

3 0
3 years ago
Match each power of a power expression with its simplified expression
Nookie1986 [14]
  • (4⁰)-⁹

= 4⁰×-⁹

= 4⁰

  • (-4⁹)²

= -4⁹ײ

= -4¹⁸

=( -4)¹⁸

  • (4-³)-³

= 4-³ × -³

= 4⁹

  • (4⁶)-³

= 4⁶ × -³

= 4-¹⁸

= 1/4¹⁸

3 0
3 years ago
Drexel was at the grocery store from 3:00 to 3:45. What fraction of a turn did the minute hand on the clock make?
user100 [1]
45 minutes hope this helps
3 0
3 years ago
Read 2 more answers
The length of a rectangle is twice its width<br> The perimeter of the rectangle is 43cm
boyakko [2]

Answer:

7.17 cm

Step-by-step explanation:

If the width is x, the length is twice this  = 2x

And

Perimeter = 2 (W + L)

so

Perimeter =  2 ( x + 2x)

Perimeter  = 2 (3x)

Perimeter  = 6x

43  =  2 ( x + 2x )

43= 2 ( 3x)  

43  =  6x

= 7.17 cm

Hope this helps i'm pretty sure this is how you do it :-)

6 0
3 years ago
Select the pair(s) of ratios that form a proportion.
ryzh [129]

Answer:

C is the only choice that forms a proportion

Step-by-step explanation:

a. 24/31, 20/27

(31 is prime)

b. 8/9, 24/36

(this one doesn't work since it would have to be 3/4) which isn't a proportion

c. 16/5, 64/20

(both 16/5  *4 = 64/20) so it works

d. 6/4 , 15/10

(similar situation to choice b the ratio wont work since 6 doesn't go into 15)

5 0
3 years ago
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