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3 years ago

Graph the equation on the cordinate plane y = -2x

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

Answer:

Step-by-step explanation:

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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)

The expression can not be further simplified.

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.

3 0

3 years ago

Christina took $20 with her to the movies. She spent $18, then Meredith gave her $10 that she owed her, and finally she spent $8

kolbaska11 [484]

Answer:

she went back home with 4 dollars

6 0

3 years ago

Read 2 more answers

Find the length x. 5 X 45 PLS THIS IS ERGENT

Annette [7]

Answer:

X = 7.5

Step-by-step explanation:

First, divide 5 by 3 to find the scale factor:

5/3 = 1.667

Now, multiply 4.5 by 1.667 to find x:

x = (4.5)(1.667)

x = 7.5

Therefore, x is equal to 7.5.

I hope this helps!!

- Kay :)

4 0

3 years ago

Select all that applies!

Serhud [2]

Answer:

Step-by-step explanation:

Because there is constant term 4 in the question, but there is no any such constant term in the given options.

7 0

3 years ago

Please help !! ASAP

Ganezh [65]

D. 2x+3 is the right answer

8 0

3 years ago