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2 years ago

Which two tables represent the same function?

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

5 0

Answer:

X - 2, 6

Y - 10, 14

Step-by-step explanation:

+ 4

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Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

4 0

3 years ago

Um help plz apprecate it

SpyIntel [72]

Answer:

4.35 / 100 = 0.0435

Step-by-step explanation:

We find it useful to convert 4.35% to decimal, because if you need to find 4.35% of any number, you can simply multiply that number with 0.0435.

8 0

3 years ago

Find the area of a triangle with vertices (1, 5), (1, -2), (3,-2).

ollegr [7]

Answer:

Step-by-step explanation:

A(3, - 2), B(1, 5), C(1, - 2)

ΔABC is right angled Δ

AC and BC are legs (cathetus)

$A_{ABC}$ = (AC)(BC) ÷ 2 = $\frac{2*7}{2}$ = 7 units²

3 0

2 years ago

Question 3 of 8

mr Goodwill [35]

C and E are the corrects answers

7 0

3 years ago

Read 2 more answers

5. Rebecca is 6 years older than three times Andrew's age. The sum of their ages is 18. How old is Rebecca?

anygoal [31]

Answer:

Rebecca is 18

Step-by-step explanation:

18/6-3=0

5 0

2 years ago