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
Ilya [14]
3 years ago
5

Which statement must be true? a b c d

Mathematics
2 answers:
lozanna [386]3 years ago
8 0
ANSWER

\boxed {m \ne0}



EXPLANATION


The given function is

f(x) = mx + b


We need to find the inverse of this function,



Let

y= mx + b


We interchange x an y to obtain,


x = my + b


We solve for y now to obtain,


x - b = my


We divide through by m to get,

\frac{x - b}{m}  = y


Hence the inverse function is ,


{f}^{ - 1} (x) =  \frac{x - b}{m}


For this inverse to exist, the denominator must not be equal to zero,

Thus

m \ne0


The correct answer is A.
koban [17]3 years ago
6 0

Answer:

Option 1 m≠0 is the right option.

Step-by-step explanation:

In this question we will find the inverse function first then we will find the gradient of the inverse function to get the correct answer.

The given function is f(x) = mx + b

Or y = mx + b

Now we will rewrite the equation in the form of x.

y - b = mx + b - b

y - b = mx

x = \frac{1}{m}y - \frac{b}{m}

Now we can write the inverse function as

f^{-1}(x) = \frac{x}{m} - \frac{b}{m}

Now the gradient of the inverse function is (1/m).Therefor we can easily say that the given function is defined when m≠0 because for m = 0 gradient will be infinity.

Therefore option 1. m≠0 is the right option.

You might be interested in
Tell whether it is possible to draw a triangle with the given side lengths. 4 cm, 4 cm, 7 cm
Sati [7]
Yes it is because 4+4=8 and 8 is larger than 7
5 0
3 years ago
Read 2 more answers
Llana ran 2 laps around the field in 8 minutes. What was he average speed?
olganol [36]

Answer:

40

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the value of x. Then find the measures of four angles.
posledela

Refer to the attached file

For your understanding,I am sending this too so that u can understand the concept

8 0
3 years ago
describe the graph of y=x^2 in words so that someone in a different room could understand exactly what it looks like explain wha
vladimir2022 [97]

Answer:

* y = x² is a quadratic function represented graphically by parabola opened upward with minimum vertex  (0 , 0) and y-intercept = 0

* The graph will move vertically up 5 units and its vertex will be

 (0 , 5)

Step-by-step explanation:

∵ y = ax² + bx + c is a quadratic function

  Represented graphically by parabola, its vertex is (-b/2a , f(-b/2a))

∵ The value of a > 0 then the parabola open upward

∴ Its vertex is minimum

∵ The value of a < 0 then the parabola oped downward

∴ Its vertex is maximum

∵ The coefficient of x² = 1

∴ The parabola open upward

∵ The coefficient of x = 0

∴ Its vertex is (0 , 0) ⇒ x = 0/2(1) = 0 , f(0) = (0)² = 0

∴ The y-intercept = 0

∴ The parabola is oped upward , has minimum vertex (0 , 0)

   and passing through the origin

∵ 5 is added to y = x² , that means we add 5 to f(x) ⇒ f(x) + 5

∴ y = x² + 5 ⇒ that means the graph move vertically up 5 units

∴ Its vertex will be (0 , 5)  

5 0
3 years ago
Formula for circumference
Licemer1 [7]

Answer:

pi x diameter

Step-by-step explanation:

To calculate the circumference of a circle, simply multiply pi (3.14) by the diameter (straight line passing from side to side through the center of the circle)

For instance, if you knew the diameter of a circle was 6 inches. Simply multiply 6 inches by pi!

6 x pi = ?

? approximately equals 18.85 inches.

The circumference of the circle would be 18.85 inches!

If you only have the radius of the circle, simply multiply it by two to get your diameter. Remember, the radius is just half the length of the diameter.

Hope this helps! :)

5 0
3 years ago
Read 2 more answers
Other questions:
  • Is there a solution to the problem 1/4 (12-4x) = 3-x
    14·2 answers
  • One spring, the temperature rose from -5 degrees Celsius to 12 degrees Celsius in 24 hours. How much did the temperature rise in
    10·1 answer
  • Austin has two Marvel posters he wants to hang on the wall in his bedroom. The wall is 16.5 feet wide and each poster is 5 3/4 f
    11·1 answer
  • Which solid figure has one polygon base
    9·1 answer
  • Find the solutions in the interval [0, 360]
    15·1 answer
  • On graph paper,graph the line that goes through the point (-6,3) and (-3,-1)
    12·2 answers
  • How many sq. ft. are in an acre?
    10·2 answers
  • Plz help will mark brainliest if correct answer only ​
    14·1 answer
  • Solve for x and y and i will mark brainliest
    7·1 answer
  • A body of mass 50 kg explodes and splits into three pieces. The first piece has a mass of 10 kg and a velocity of [-3,2] m/s, th
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!