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3 years ago

Which of the following function pairs are inverses? Options and questions below:

Mathematics

1 answer:

kolbaska11 [484]3 years ago

5 0

Answer:

Second choice

Step-by-step explanation:

To find inverses, we follow the steps:

1. exchange variables x and y

2. solve for y in terms of x.

The resulting function is the inverse.

Take case 2 as an example:

f(x) = y = 2x-3

1. exchange x and y : x=2y-3

2. solve for y: x+3=2y => y=(x+3)/2 = g(x)

Since the inverse of f(x) is g(x)=(x+3)/2, the second choice is the answer.

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A particular shoe store stocks two styles of walking shoes. Style A sells for $66.95 and Style B sells for $84.95. At the end of

Gnom [1K]

Answer:

Style A shoes sold : 152

Style B shoes sold : 88

Step-by-step explanation:

Let :

Style A shoes = x
Style B shoes = y

Forming equations :

x = 2y - 24
66.95x + 84.95y = 17,652

Substitute the value of x from 1 in 2.

66.95 (2y - 24) + 84.95y = 17,652
133.90y - 1606.80 + 84.95y = 17,652
218.85y = 19258.80
y = 88

Finding x :

x = 2(88) - 24
x = 176 - 24
x = 152

Solution :

Style A shoes sold : 152
Style B shoes sold : 88

8 0

1 year ago

A scale model of a giant robot is 24 centimeters high with an arm length of 12 centimeters. The height of the real robot is 6 me

Travka [436]

The answer is 3. While scale real height is 24 arm is 12. 24/2=12
So6÷2=3

6 0

2 years ago

If the difference of a number and four is doubled the result is 1/4 less than the number. find the number

sukhopar [10]

The formula is (2)(n-4) = n-1/4

Mult both sides by 4:

8n - 32 = 4n -1, or 4n = 31, or n=31/4.

If this is not what you expected, please ensure that you have copied down the original problem correctly. What do you mean by "1/4 less?"

Let's try (2)(n-4) = 1n-(1/4)n = (3/4)n. Then,

2n-8 = (3/4)n, or (5/4)n = 8. Mult. both sides by (4/5), we get:

n = (5/4)(8) = 10. Is that what you were hoping for?

8 0

3 years ago

PLZZZZZZ help with this

vlabodo [156]

Answer:

28m⁷n⁵

Step-by-step explanation:

You would first multiply 14 by 2. You would then multiply (which is really addition when it comes to exponents) your like-term exponents.

(14m²n⁵)(2m⁵) =28m⁷n⁵

14(2) = 28

m² + m⁵=m⁷

n⁵ + 0 = n⁵

4 0

2 years ago

Read 2 more answers

The ratio of cars to trucks is 9:4. The ratio of trucks to SUV's is 12:21. There are 54 cars.

Elenna [48]

Answer:

Number of trucks = 24

Number of SUVs = 24

Step-by-step explanation:

The ratio of cars to trucks is 9:4

The total ratio of cars to trucks is

9+4 = 13

Let x = sum of cars and trucks.

There are 54 cars. Therefore,

x = 54 + t trucks

Number of cars = ratio of cars/ total ratio × sum of cars and trucks. This means,

54 = 9/13 × x

9x / 13 = 54

9x = 13 × 54

9x = 702

x = 702 / 9 = 78

x = 54 + t trucks = number of trucks = 78 = 54 + t trucks

t trucks = 78 - 54 = 24

Number of trucks = 24

The ratio of trucks to SUVs is 12:21

The total ratio of cars to trucks is

12 + 21 = 33

Let y = sum of trucks and SUVs

There are 24 trucks. Therefore,

x = 24 + s SUVs

Number of trucks = ratio of trucks / total ratio × sum of trucks and SUVs. This means,

24 = 12 / 33 × y

12y / 33 = 24

12y = 24 × 33

12y = 792

y = 792 / 12 = 66

y = 24 + s SUVs

66 = 24 + s SUVs

s SUVs = 66 - 24 = 42

Number of SUVs = 24

7 0

3 years ago