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Dimas [21]
3 years ago
8

Select the correct answer.

Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0

9514 1404 393

Answer:

  A.  f^-1(x) = x³ -12

Step-by-step explanation:

The inverse function can be found by solving ...

  x = f(y)

  x = ∛(y +12) . . . . . use the definition of f(x)

  x³ = y +12 . . . . . . . cube both sides to eliminate the radical

  x³ -12 = y . . . . . . . add -12 to isolate the y-variable

  f^-1(x) = x³ -12 . . . matches choice A

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Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height above ocean measured in f
lbvjy [14]

Answer:

480 feet.

Step-by-step explanation:

We are told that the function h(t)=-16t^2+16t+480 models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.

To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.

Upon substituting t=0 in our function we will get,

h(0)=-16(0)^2+16*0+480

h(0)=-0+0+480

h(0)=480

Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.

8 0
3 years ago
John has $400. He gave one friend 25% and $158.67 to another friend. How much money does John have left​
sdas [7]

Answer:

$141.33

Step-by-step explanation:

He gave $100 to one fried and 158.67 to another

100+158.67=258.67

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3 years ago
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The circumference (C) C of a circle is 18 18 centimeters. Which formula can you use to find the radius (r) r if you know that C=
Serga [27]

C = 2πr

r = radius

c = circumference = 18

Plug in the corresponding numbers with variables.

18 = 2πr

Isolate the r. Divide 2 and π from both sides

(18)/2π = (2πr)/2π

9/π = r

C/π = r is your formula to finding r.

~

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3 years ago
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What is 27.74/38 in long division?
Mashutka [201]
Hey! The answer is 0.73
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3 years ago
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One semester in a chemistry class, 14 students failed due to poor attendance, 23 failed due to not studying, 15 failed because t
BlackZzzverrR [31]

Answer:

(a) 16 students failed for exactly two of the three reasons.

(b) 7 students failed because of poor attendance and not studying but not because of not turning in assignments.

(c) 14 students failed because of exactly one of the three reasons.

(d) 3 students failed because of poor attendance and not turning in assignments but not because of not studying.

Step-by-step explanation:

We are given that one semester in a chemistry class, 14 students failed due to poor attendance, 23 failed due to not studying, 15 failed because they did not turn in assignments, 9 failed because of poor attendance and not studying, 8 failed because of not studying and not turning in assignments, 5 failed because of poor attendance and not turning in assignments, and 2 failed because of all three of these reasons.

As shown in the diagram attached below, a Venn diagram represents the situation given in the question;

In the diagram below, 2 in represents purple color represents the number of students failed because of all three of these reasons.

7 represents the number of students who failed because of poor attendance and not studying but not due to not turning in assignments.

6 represents the number of students who failed because of not studying and not turning in assignments but not due to poor attendance.

3 represents the number of students who failed because of poor attendance and not turning in assignments but not due to not studying.

2 in red color represents the number of students who failed only due to poor attendance.

8 in red color represents the number of students who failed only due to not studying.

4 in red color represents the number of students who failed only due to not turning in assignments.

(a) The number of students who failed because of exactly two of the three reasons = 7 + 6 + 3 = 16 students.

(b) The number of students who failed because of poor attendance and not studying but not because of not turning in assignments = 9 - 2 = 7 students.

(c) The number of students who failed because of exactly one of the three reasons = 2 + 8 + 4 = 14 students.

(d) The number of students who failed because of poor attendance and not turning in assignments but not because of not studying = 5 - 2 = 3 students.

7 0
3 years ago
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