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2 years ago

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Mathematics

1 answer:

Delvig [45]2 years ago

3 0

Answer:

answer is A and B. A on 1 b on 2

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Determine whether 81 − 49n4 is a difference of two squares. If so, factor it. If not, explain why.

Mumz [18]

We have

$81-49n^4=9^2-(7n^2)^2$

so this is indeed a difference of squares. Factorizing would give

$81-49n^4=(9-7n^2)(9+7n^2)$

making the answer D.

We can further factor the first term here and write

$9-7n^2=3^2-(\sqrt 7\,n)^2=(3-\sqrt7\,n)(3+\sqrt7\,n)$

but that's clearly out of the scope of this question.

7 0

3 years ago

You and two friends visit a pizza shop. There are 14 toppings. 7 toppings are meat and the rest are vegetable. Each of you order

tatuchka [14]

The answer is that you can get all the meats an some of the vegetables so the answer is B

7 0

3 years ago

Someeee one?????????????????

Ad libitum [116K]

Answer:

Option B) $a_{n} = 2\cdot 4^{n-1}$

Step-by-step explanation:

The given geometric sequence is

2, 8, 32, 128,....

The general form of a geometric sequence is given by

$a_{n} = a_{1}\cdot r^{n-1}$

Where n is the nth term that we want to find out.

a₁ is the first term in the geometric sequence that is 2

r is the common ratio and can found by simply dividing any two consecutive numbers in the sequence,

$r=\frac{8}{2} = 4$

You can try other consecutive numbers too, you will get the same common ratio

$r=\frac{32}{8} = 4$

$r=\frac{128}{32} = 4$

So the common ratio is 4 in this case.

Substitute the value of a₁ and r into the above general equation

$a_{n} = 2\cdot 4^{n-1}$

This is the general form of the given geometric sequence.

Therefore, the correct option is B

Note: Don't multiply the first term and common ratio otherwise you wont get correct results.

Verification:

$a_{n} = 2\cdot 4^{n-1}$

Lets find out the 2nd term

Substitute n = 2

$a_{2} = 2\cdot 4^{2-1} = 2\cdot 4^{1} = 2\cdot 4 = 8$

Lets find out the 3rd term

Substitute n = 3

$a_{3} = 2\cdot 4^{3-1} = 2\cdot 4^{2} = 2\cdot 16 = 32$

Lets find out the 4th term

Substitute n = 4

$a_{4} = 2\cdot 4^{4-1} = 2\cdot 4^{3} = 2\cdot 64 = 128$

Lets find out the 5th term

Substitute n = 5

$a_{5} = 2\cdot 4^{5-1} = 2\cdot 4^{4} = 2\cdot 256 = 512$

Hence, we are getting correct results!

6 0

3 years ago

Given:<br> f(x)=x^2<br> g(x)=x-1<br> Find f(g(2))+g(f(-1))

Marina CMI [18]

Answer:

-1

Step-by-step explanation:

First, we need to work out the left-hand side.

find g(2) → g(2) = 2 - 1 which is 1
next, find f(1) → f(1) = 1³ which is 1

Now, we can work out the right hand side.

find f(-1) → f(-1) = -1³ which is -1
then, find g(-1) → g(-1) = -1 - 1 = -2

Finally we can work out the full sum: 1 + -2 = -1.

Hope this helps!

8 0

2 years ago

What is 5/6 ÷ 10/21 (show ur work)

stich3 [128]

Answer:

105/61 is the answer for 5/6 ÷ 10/21

8 0

2 years ago

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