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2 years ago

What is the answer of this question?

Mathematics

1 answer:

TEA [102]2 years ago

6 0

9514 1404 393

Answer:

970

Step-by-step explanation:

It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...

(5 +2√6)³ +1/(5 +2√6)³ = 970

_____

The cube of 'a' is ...

(5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³

= 125 +3·50√6 +3·120 +48√6

a³ = 485 +198√6

The reciprocal of this is ...

b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1

b³ = 485 -198√6

Then the sum is ...

a³ +b³ = (485 +198√6) +(485 -198√6) = 970

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Over the next 12 months you have to read more than 72 books. You have to read x books per month. The inequality 12x >72 repre

Lyrx [107]

Answer:

6 books per month

Step-by-step explanation:

books:months=books per month

5 0

3 years ago

Jenny works in a picture framing shop. She has a function f(x) equals X +2 that find the size of a square frame, given a picture

Iteru [2.4K]

Given:

The function for size of a square frame is

$f(x)=x+2$

where, x is the side length of the picture.

The function for the price in dollars for the frame is

$p(x)=3x$

To find:

The single function for the price of a picture with an edge length of x.

Solution:

We know that, for a picture with an edge length of x.

Size of a square frame = f(x)

Price in dollars for the frame = p(x)

Single function for the price of a picture with an edge length of x is

$(p\circ f)(x)=p(f(x))$

$(p\circ f)(x)=p(x+2)$ $[\because f(x)=x+2]$

$(p\circ f)(x)=3(x+2)$ $[\because p(x)=3x]$

Let the name of this function is c(x). So,

$c(x)=3(x+2)$

Therefore, the required function is $c(x)=3(x+2)$ .

8 0

3 years ago

-3 (3c + 5) = 2 (10 - c)

Ilya [14]

Answer:-5

Step-by-step explanation:

You need to distribute on both sides so u get

9c-15=20-2c

Move variable to left side and change the sign

-9c+2c-15=20

Move constant to right side and change the sign

-9c+2c=20+15

Connect like terms

-7c=35

Divide

C=-5

5 0

2 years ago

A developer claims that the percent of city residents who favor building a new football stadium is likely between 52.3% and 61.7

Dmitry [639]

Answer: 453

Step-by-step explanation:

To solve the question, we have to calculate the margin of error which will be:

= (61.7% - 52.3%) / 2

= 9.4% / 2

= 4.7%

4.7% = 1 / ✓n

0.047 = 1 / ✓n

✓n = 1 / 0.047

✓n = 21.28

Square both sides to.gwt the value of n

n = 21.28²

n = 452.69

n = 453

453 residents were surveyed

8 0

3 years ago

Find the focus and directrix of the parabola with the equation x² = -22y.

Bad White [126]

9514 1404 393

Answer:

focus: (0, -5.5)

directrix: y = 5.5

Step-by-step explanation:

The equation compares to the form ...

x² = 4py

where 4p = -22 ⇒ p = -22/4 = -5.5.

The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).

The directrix is above the vertex by the same amount, so is y = 5.5.

6 0

3 years ago

What is the answer of this question? ​

What is the answer of this question?