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Natali5045456 [20]
3 years ago
15

FAST ANSWER PLEASE THANKS

Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0

Answer:

Option (1).

Step-by-step explanation:

Given  functions are f(x) = \frac{1}{x} and g(x) = x - 2

(fog)(x) = f[g(x)]

By substituting g(x) in place of x in the function f(x),

f[g(x)] = \frac{1}{(x-2)}

Graph of the function f[g(x)] will have,

Vertical asymptotes : x = 2

Horizontal asymptotes : y = 0

And no oblique asymptotes.

Out of four options graph number (1) matches the given characteristics of the function.

Therefore, graph (1) will be the answer.

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Three of these expressions are equal to the volume of the barn shown. Which expression is not?
timurjin [86]

The statement that does not match the others is the one at lower right.

_____

The barn's volume can be decomposed into a rectangular prism and a triangular one. Thus the <em>upper right</em> expression is a true represenation of the barn's volume:

... Volume of triangular prism + Volume of rectangular prism

The volume of a <em>rectangular prism</em> is the product of its dimensions. The dimensions of the rectangular prism portion of the barn's volume are a, b, c, so the volume of that portion is ...

... Volume of rectangular prism = a·b·c

The volume of a <em>triangular prism</em> is the area of the triangular base multiplied by the length of the prism. Here, the triangular base has base dimension b and height (d-c), so its area is ...

... Area of triangular barn end = (1/2)b(d-c)

Since the length of the barn is "a", the volume of the triangular prism is ...

... Volume of triangular prism = (1/2)b(d-c)a = (1/2)·a·b·(d-c)

The <em>total volume</em> is the sum of the volumes of the parts ...

... a·b·c + (1/2)·a·b·(d-c) . . . . . . matches the <em>upper right</em> selection

This can be factored by removing a·b to outside parentheses:

... a·b·((1/2)·(d-c) + c) . . . . . . . . . matches the <em>lower left</em> selection

___

Since the two left selections match the one at upper right, the odd one is the one at lower left.

7 0
3 years ago
Read 2 more answers
Work out the percentage change to 2 decimal places when a price of £57.99 is decreased to £49.99.
IRISSAK [1]

Answer:

Percentage change in price = 13.80%

Step-by-step explanation:

Given that:

Original price = £57.99

Decreased price = £49.99

Difference = Original price - Decreased price

Difference = 57.99 - 49.99

Difference = £8.00

Percent change = \frac{Difference}{Original\ price}100

Percent change = \frac{8.00}{57.99}*100

Percent change in price = 13.80%

Hence,

Percentage change = 13.80%

5 0
3 years ago
Building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi m
Ksivusya [100]

the area A of the cross section of the column is (81\pi )m^2 .

<u>Step-by-step explanation:</u>

Here we have , building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π, pi meters. We need to find What is the area A of the cross section of the column .Let's find out:

We know that  , Circumference of circle = 2\pi r

⇒ Circumference = 2\pi r

⇒ 18\pi= 2\pi r

⇒ \frac{18\pi}{2\pi }= \frac{2\pi r}{2\pi }

⇒ \frac{18\pi}{2\pi }=r

⇒ r=9

We know that area of circle = \pi r^2

⇒ Area= \pi r^2

⇒ Area= \pi 9^2

⇒ Area= 81\pi

Therefore , the area A of the cross section of the column is (81\pi )m^2 .

3 0
3 years ago
1
Westkost [7]

The difference between the two mass is 151950g

Data;

  • Mass a = 29.48kg
  • Mass b = 181,430g
<h3>Difference Between The Mass</h3>

To calculate the difference between the mass, we must do so in the same unit. i.e both mass a and mass b must be in the same unit.

<h3>Conversion of Mass from Kg to g</h3>

Let's convert mass a from kg to g

1kg = 1000g

Using this, we can find how many grammes are in 29.48kg

1kg = 1000g\\29.48kg = x\\x = 29.48 * 1000\\x = 29480g

Now we can find the difference between mass b and mass a

b - a = 181430 - 29480 = 151950

The difference between the two mass is 151950g

Learn more on difference between two numbers here;

brainly.com/question/18591813

4 0
2 years ago
The sum of three consecutive odd numbers is 57. Find the product of the numbers. ​
DaniilM [7]

Answer:

17, 19, 21. Hope this helps.

8 0
3 years ago
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