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2 years ago

If for a particular one-to-one function f(2) = 13, what are the corresponding input and output

Mathematics

1 answer:

maks197457 [2]2 years ago

6 0

Answer:

$f^{-1}(13) = 2$ .

Step-by-step explanation:

For function $f$ , the notation $f(2) = 13$ means that when the input to the function is $2$ , the output would be $13$ .

The inverse function of a one-to-one function $f$ is commonly denoted as $\!f^{-1}$ .

The inverse function undoes the action of the original function. In this question, $f$ maps $2$ to $13$ . Thus, $f^{-1}$ would need to map $13\!$ back to $2\!$ . Therefore, $f^{-1}(13) = 2$ should be the corresponding input and output values.

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AB and BC form a right angle at their point of intersection, B.

const2013 [10]

Answer:

The y-intercept of AB is (4/3) and the equation of BC is y = (-1/6) x + (4/3)

If the y-coordinate of point C is 13, its x-coordinate is 4.

=====================================

Step-by-step explanation:

AB and BC form a right angle at their point of intersection, B.

So, AB ⊥ BC

A = (14 , -1) , B = (2,1)

Part A: Find the y-intercept of AB.

The general equation of the line y = mx + c

Where: m is the slope and c is constant represents y-intercept.

m = (y₂ - y₁)/(x₂ - x₁)

m = $\frac{1 - (-1)}{2-14} = \frac{2}{-12} = - \frac{1}{6}$

y = (-1/6) x + c

Substitute with the point (2,1) to find c

1 = (-1/6) * 2 + c

c = 1 + 2 *(1/6) = 4/3

y = (-1/6) x + 4/3

So, the y-intercept of AB is 4/3

=======================================

Part B: Find the equation of BC.

BC ⊥ AB at point B

if m is the slope of AB, the slope of BC = (-1/m)

m = (-1/6)

So, the slope of BC = (-1/m) = 6

The equation of the line BC ⇒ y = 6x + c

Substitute with the point (2,1) to find c

1 = 6 * 2 + c

c = 1 - 12 = -11

y = 6x - 11

=========================================

Part C: Find x-coordinate of C if y-coordinate of point C is 13.

The equation of the BC is y = 6x - 11

Substitute with the y-coordinate of point C = 13

13 = 6x - 11

6x = 13 + 11 = 24

x = 24/6 = 4

8 0

3 years ago

There are 36 students in the chess club, 40 students in the drama club, 24 students in the film club. Which ratio is equivalent

zlopas [31]

Answer:

Step-by-step explanation: 40 and 24 are 5:3. We know his because:

- 40/8=5

- 24/8=3

That's how we know 40:24 = 5:3.

6 0

3 years ago

Read 2 more answers

What is the percent change from 70 to 56

Dmitry_Shevchenko [17]

$\frac{(56 - 70)}{|70|}$ × 100

$\frac{-14}{70}$ × 100

-2.0 × 100 → 20%

Therefore, your "percent change" is → 20%

3 0

3 years ago

Solve 54=y−14 please help meeeeee

Inessa05 [86]

Answer:

y=68

Step-by-step explanation:

54=y−14

54+14=y

68=y

5 0

3 years ago

An airport is studying the noise levels of jets during takeoff as they pass over a neighborhood. They find that at the present t

avanturin [10]

Answer: 2.28%

Step-by-step explanation:

Given: An airport find that at the present time, the mean noise level is 103 decibels and the standard deviation is 5.4 decibels.

The distribution of noise levels(x) for all jets during takeoff over the neighborhood has a normal distribution.

The probability that jets have a noise level less than 92.2 decibels when taking off over this neighborhood will be :-

$P(X$

Hence, the percent of these jets have a noise level less than 92.2 decibels when taking off over this neighborhood = 2.28%

6 0

3 years ago