MATHEMATICS COLLEGE

Which of the following pairs of functions are inverses of each other?

Answers

Answer 1

Answer:

Answers:

(C)

step by step Explanation:

Answer 2

Answer: The answer for this question is going to be C the 2nd last one

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Please solve it as fast as possible

Answers

here’s the answer, i hope this helped!

What is the inverse of the function f(x)=2x+1?

Answers

Answer:

see the attachment

Step-by-step explanation:

You can find the inverse by swapping the variables and solving for y.

y = f(x) . . . . . original function

x = f(y) . . . . . variables swapped

x = 2y +1

x -1 = 2y . . . subtract 1

(x-1)/2 = y . . . divide by 2

y = (1/2)x -1/2 . . . expand

If the inverse function is named h(x), then it is ...

h(x) = x/2 -1/2

Answer:

Option 1.

Step-by-step explanation:

$y=2x+1$

$x=2y+1$

$x-1=2y$

$(x-1)/(2) = (2y)/(2)$

$(x-1)/(2) = y$

$(1)/(2)x -(1)/(2) = y$

Adult tickets for the movies are $11.50 each and child tickets are $8.75 each. How much would a family with 3 adults and 5 children pay for their tickets? (Multi-Step)

Answers

Answer:

$78.25

Step-by-step explanation:

Each adult = $11.50

Each child = $8.75

3 adults and 5 children

(11.50 x 3) + (8.75 x 5)

34.5 + 43.75 = $78.25

11.50 x 3 = 34.50

8.75 x 5 = 43.75

34.50 + 43.75 = 78.23

$78.23

the temperature at 6pm was 72 degrees. this was 8 degrees cooler than at 4pm. the temperature at 10am wss 5 degrees hotter than at 4pm. what was the temperature 10am

Answers

The temperature at 10 am was 5° +8° = 13° hotter than the 72° temperature at 6 pm.

The temperature at 10 am was 72° +13° = 85°.

What is the value of sin(t) if Cos(t)=4/5 and t is in quadrant 1

Answers

Answer:

0.6 or 3/5

Step-by-step explanation:

If cos(t) = 4/5, then, taking the arccos of both sides, t ≈ 36.86989765. Taking the sin of that gives you 0.6, or 3/5 in fraction form.

3.5 is the answer for sure

A survey of 300 parks showed the following. 15 had only camping. 20 had only hiking trails. 35 had only picnicking. 185 had camping. 140 had camping and hiking trails. 125 had camping and picnicking. 210 had hiking trails. Determine the number of parks that:

a. Had at least one of these features.
b. Had all three features.
c. Did not have any of these features.
d. Had exactly two of these features.

Answers

Answer:

A. 290 parks dad at least one of these features.

b. 95 parks had all three features.

c. 10 parks did not have any of these features.

d. 125 parks had exactly two of these features.

Step-by-step explanation:

This will be solved using set notation according to the venn diagram attached.

Let n(U) be the total number of parks surveyed

n(C) be those that had camping = 185

n(H) be those that had hiking trails = 210

n(C∩H) be those that had camping and hiking trails = 140

n(C∩P) be those that had camping and picnicking = 125

n(C∩P'∩H') be those that had only camping = 15

n(C'∩P'∩H) be those that had only hiking trails = 20

n(C'∩P∩H') be those that had only picnicking = 35

Find the calculation in the attached file

Final answer:

The number of parks that had at least one of the listed features was 135.

The number of parks that had all three features was 20.

The number of parks that did not have any of these features was 165.

Explanation:

To determine the number of parks that had at least one of the listed features, we can add up the numbers of parks that had only camping, only hiking trails, and only picnicking. Then we subtract the parks that had two or three of these features, as they were already counted in the previous step. Doing this calculation, we get:

Parks with at least one feature: 15 + 20 + 35 + (185 - 140 - 125) + (140 - 125) + (210 - 140 - 125) = 135

To find the number of parks that had all three features, we need to subtract the parks that had only camping, only hiking trails, only picnicking, or none of these features from the total number of parks (300). Doing this calculation, we get:

Parks with all three features: 300 - 15 - 20 - 35 - (185 - 140 - 125) - (140 - 125) - (210 - 140 - 125) - (300 - 135) = 20

To determine the number of parks that did not have any of these features, we subtract the parks with at least one feature from the total number of parks (300). Doing this calculation, we get:

Parks with no features: 300 - 135 = 165

To calculate the number of parks that had exactly two features, we add the intersections of each pair of features and subtract the parks that had all three features. Doing this calculation, we get: