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1 year ago

Please help im sorry it is late but please i dont understand

Mathematics

1 answer:

ratelena [41]1 year ago

6 0

Answer:

416 people

Step-by-step explanation:

The way you get the answer is by adding up the number of people from the sample, which gives you 175 people. After finding that you take the number of people who like pretzels (26) and divide it by 175, giving you 0.16 or 16%.
This means 16% of people will like pretzels, so you apply this to the actual number of people coming, 2600, and find 16% of 2600 (0.16 x 2600) which is 416 people. I hope this makes sense :)

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Elodia [21]

Given:

The table of values for the function f(x).

To find:

The values $f^{-1}(f(3.14))$ and $f(f(-7))$ .

Solution:

From the given table, it is clear that the function f(x) is defined as:

$f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}$

We know that if (a,b) is in the function f(x), then (b,a) must be in the function $f^{-1}(x)$ . So, the inverse function is defined as:

$f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}$

And,

$f^{-1}(f(a))=f^{1}(b)$

$f^{-1}(f(a))=a$ ...(i)

Using (i), we get

$f^{-1}(f(3.14))=3.14$

Now,

$f(f(-7))=f(-12)$

$f(f(-7))=5$

Therefore, the required values are $f^{-1}(f(3.14))=3.14$ and $f(f(-7))=5$ .

5 0

2 years ago

The sequence a1 = 6, an = 3an-1 can also be written as

wariber [46]

The question as presented is incomplete, here is the complete question with the multiple choice:

The sequence a1 = 6, an = 3an − 1 can also be written as:

1) an = 6 ⋅ 3^n
2) an = 6 ⋅ 3^(n + 1)
3) an = 2 ⋅ 3^n
4) an = 2 ⋅ 3^(n + 1)

The correct choice is option 3) an = 2⋅3^n.

If we look at the initial sequence an = 3⋅an-1, and

a1 = 3⋅a0 = 6
a0 = 6/3
a0 = 2

We can now look at the sequence.

a0 = 2
a1 = 6
a2 = 18
a3 = 54
etc...

A common factor in each of those numbers is 2, so we can rewrite the sequence by factoring out 2.

a0 = 2⋅1
a1 = 2⋅3
a2 = 2⋅9
a3 = 2⋅27

The numbers being multiplied by 2 are all factors of 3. So we can rewrite the sequence again as:

a0 = 2⋅3^0
a1 = 2⋅3^1
a2 = 2⋅3^2
a3 = 2⋅3^3

This sequence can now be rewritten as an = 2⋅3^n.

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2 years ago

What is the correct solution for 8x = 56

Mars2501 [29]

Answer:

Step-by-step explanation:

8(7)=56

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