1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
laiz [17]
3 years ago
11

Can somebody help me i have to drag the functions on top onto the bottom ones to match their inverse functions.

Mathematics
2 answers:
stellarik [79]3 years ago
8 0

Answer:

1. x/5

2. cubed root of 2x

3.x-10

4.(2x/3)-17

Step-by-step explanation:

marusya05 [52]3 years ago
5 0

Answer:

Step-by-step explanation:

1. Lets find the inverse function for function f(x)=2*x/3-17

To do that first express x through f(x):

2*x/3= f(x)+17

2*x=(f(x)+17)*3

x=(f(x)+17)*3/2   done !!!                        (1)

Next : to get the inverse function from (1) substitute x by f'(x)   and f(x) by x.

So the required function is f'(x)=(x+17)*3/2 or f'(x)=3*(x+17)/2

This is function is No4 in our list. So f(x)=2*x/3-17 should be moved to the box No4  ( on the bottom) of the list.

2.  Lets find the inverse function for function f(x)=x-10

To do that first express x through f(x):

x= f(x)+10

x=f(x)+10   done !!!                        (2)

Next : to get the inverse function from (2) substitute x by f'(x)   and f(x) by x.

So the required function is f'(x)=x+10

This is function is No3 in our list. So f(x)=x-10 should be moved to the box No3  ( from the top) of the list.

3.Lets find the inverse function for function f(x)=sqrt 3 (2x)

To do that first express x through f(x):

2*x= f(x)^3

x=f(x)^3/2   done !!!                        (3)

Next : to get the inverse function from (3) substitute x by f'(x)   and f(x) by x.

So the required function is f'(x)=x^3/2

This is function No2 in our list. So f(x)=sqrt 3 (2x) should be moved to the box No2  ( from the top) of the list.

4.Lets find the inverse function for function f(x)=x/5

To do that first express x through f(x):

x=f(x)*5   done !!!                        (4)

Next : to get the inverse function from (4) substitute x by f'(x)   and f(x) by x.

So the required function is f'(x)=x*5 or f'(x)=5*x

This is function No1 in our list. So f(x)=x/5 should be moved to the box No1  ( on the top) of the list.

You might be interested in
Not school work. y’all i need to know something.
LUCKY_DIMON [66]
Ask your teachers if you can still turn them in
4 0
3 years ago
Read 2 more answers
During the 7th examination of the Offspring cohort in the Framingham Heart Study, there were 1219 participants being treated for
AlexFokin [52]

Answer:

95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

Step-by-step explanation:

We are given that during the 7th examination of the Offspring cohort in the Framing ham Heart Study, there were 1219 participants being treated for hypertension and 2,313 who were not on treatment.

The sample proportion is :  \hat p = x/n = 1219/3532 = 0.345

Firstly, the pivotal quantity for 95% confidence interval for the proportion of the population is given by;

      P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion = 0.345

           n = sample of participants = 3532

           p = population proportion

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population​ proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level of

                                                         significance are -1.96 & 1.96}

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

<u>95% confidence interval for p</u>= [\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

    = [ 0.345-1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } } , 0.345+1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } } ]

    = [0.3293 , 0.3607]

Hence, 95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

6 0
3 years ago
Which of the following is an arithmetic sequence? A.4, 6, 10, 16, 26 B. 4, 16, 64, 256 C. 5, 12, 17, 29, 46 D. 3, 7, 11, 15, 19
LiRa [457]
C. 5, 12, 17, 29, 46
6 0
3 years ago
The following figure shows A ABC with side lengths to the nearest tenth.
xz_007 [3.2K]

Answer:

17.7

Step-by-step explanation:

angle B = 180 - 81 - 65 = 34 degrees

as the sum of all angles in any triangle is always 180 degrees.

a/sin(A) = b/sin(B) = c/sin(C)

the sides are always on the opposite side of the angle.

so,

10/sin(34) = AB/sin(81)

AB = 10×sin(81) / sin(34) = 17.7

3 0
3 years ago
A cereal box has a height of 32 cm. The base has 160 square cm what is the volume in cubic cm of the box
ruslelena [56]
Hello There!

All you really need to do is multiply 160 with 32.

160 × 32 ≈ 5120 

5120 cm

Hope this helped!

7 0
3 years ago
Read 2 more answers
Other questions:
  • A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The dimensions o
    11·1 answer
  • A 5.8kg box is on a frictionless 45∘ slope and is connected via a massless string over a massless, frictionless pulley to a hang
    9·1 answer
  • Estimated payments are often used by individuals who are self-employed, have investments, or other income where employer withhol
    7·1 answer
  • I = PRT what is the value of I IF p =8000 r = 0.6 t = 1
    8·1 answer
  • Look at the long division problem shown on the right Complete the division to determine what the remainder will be. What is the
    15·2 answers
  • W.8
    7·1 answer
  • Find the missing term.show your solution.​
    8·2 answers
  • Find the angle measures of a triangle if the first angle is thirty-one degrees more than the second, and the third is five degre
    13·1 answer
  • Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack w
    15·1 answer
  • Alan, Bill, and Calvin are playing a game with collectible cards. At the moment, Alan has 11 less than 2.5 times the number of c
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!