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
aev [14]
3 years ago
8

Find an equation for the inverse of the relation y=6x-3. Show how you found the inverse equation.

Mathematics
1 answer:
Elis [28]3 years ago
4 0
Hi there! The answer is y = 1/6x + 1/2

To find the inverse function x and y need to switch places.

y = 6x - 3 \\ x = 6y - 3

Now rewrite the equation, until it will be in standard form (slope-intercept form) again.
x = 6y - 3

Add 3.
x + 3 = 6y

Switch sides.
6y = x + 3

Divide both sides by 6.
y =  \frac{1}{6}  x+  \frac{3}{6}  \\ y =  \frac{1}{6} x +  \frac{1}{2}

Hence, the answer is y = 1/6x + 1/2.
~ Hope this helps you!
You might be interested in
A currency exchange will convert 1
Eddi Din [679]

Answer: a) 26297.50 b) 124.992870045

Step-by-step explanation:

a) 105.19*250=26297.50

b) 13148/105.19= 124.992870045

6 0
3 years ago
A and B can fill a cistern in 4 hours. A and C can fill
kirill [66]

Answer:

20 hours

Step-by-step explanation:

We can work easier if we think in terms of an hour

the first equation that we can write is

A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)

the second equation we can write is

A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)

the third equation that we can write is

B = 2C  (its meaning is that in an hour B fill 2 times C the cistern)

now we can substitute the value of B in the first two equations

A + 2C = 1/4

A + C = 1/5

A = 1/5 - C

1/5 - C + 2C = 1/4

C = 1/4 -1/5

C = (5-4)/20

C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)

A = 1/5 - 1/20

A = (4-1)/20 = 3/20

B = 1/20 *2 = 1/10

4 0
3 years ago
A light bulb factory produces 922 light bulbs every hour. Approximately 3.34% of the light bulbs are defective, and do not work.
Nikitich [7]

Answer:

The value is  \sigma = 5.46  

Step-by-step explanation:

From the question we are told that

  The number of light produced in an hour is  n  =  922

  The proportion of the bulb that are defective is  p =  0.0334

  Generally given from the question that we should use binomial distribution it then means that the standard deviation is mathematically evaluated as  

           \sigma = \sqrt{ n  *  p  (1-p)}

=>         \sigma = \sqrt{ 922  *  0.0334 *  (1-0.0334)}

=>         \sigma = 5.46  

8 0
3 years ago
I don’t know how to answer this
Vladimir [108]

Answer:

Triangle with Blue shape inside.  All of the other shapes are divided up in to triangles.  The triangle on bottom (with blue shape inside) is divided up into polygons.

Step-by-step explanation:

4 0
3 years ago
Y= -2(x - 1)^2 + 8 the answer
Dahasolnce [82]
Y = (-2x +2)^2 +8
(-2x^2 +4) +8
-2x^2 +12
8 0
2 years ago
Other questions:
  • What is the change in temperature from -8°F to 14°F?
    13·2 answers
  • Consider the equation y=sqrtx and y=x^2-1
    9·2 answers
  • Plzz HELP FOR POINTS AND BRAINLIST ANSWER
    12·1 answer
  • How do you divide 986 divided by 26 in partial quotients
    15·1 answer
  • The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weig
    13·1 answer
  • It has been determined that 60% of the people in a certain midwest city who are responsible for preparing the evening meal have
    10·1 answer
  • Pls help I need to find the missing sides?!!
    11·1 answer
  • The ratio of boys to girls in Mr. Yang's class is 4:3. If there are 16 boys in the class, how many girls are there? O A. 8 girls
    9·2 answers
  • In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a go
    7·1 answer
  • Plz someone explain it
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!