Which function has an inverse that is also a function?

LOTS OF POINTS!?!?!?Write a linear function f with the values f(5)=−1 and f(0)=−1. f(x)=

Brut [27]

Answer:

The euation of the linear function is:

y = -1

Step-by-step explanation:

As the function has the values

at x = 5, f(5) = -1

at x = 0, f(0) = -1

Thus, the two points are:

(5, -1)

(0, -1)

Finding the slope between (5, -1) and (0, -1)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)$

$m=\frac{-1-\left(-1\right)}{0-5}$

$m=0$

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

We also know that the y-intercept can be computed by setting x=0 and finding the corresponding value of y.

so at x = 0, y = -1

Thus, the y-intercept 'b' = -1

Now, substituting m = 0 and b = -1 in the slope-intercept form of the line equation

y = mx+b

y = 0x + -1

y = -1

Therefore, the euation of the linear function is:

y = -1

4 0

3 years ago

suppose an architect draws a segment on a scale drawing with the end points (0,0) and (3/4,9/10). the same segment on the actual

dlinn [17]

Let the segment be represented by AB where A(0,0) = $A(x_{1}, y_{1})$ and B(3/4,9/10) = $B(x_{2}, y_{2})$ .

The length of the segment drawn by architect can be calculated using distance formula:

AB = $\sqrt{}( x_{2}- x_{1})^ {2} + (y_{2}- y_{1})^ {2}$

$AB=\sqrt{(3/4-0)^{2}+(9/10-0)^{2}$

$AB=\sqrt{9/16+81/100} \\$

$AB = (6\sqrt{61})/40$

Similarly, Let the actual end points of segment be AC where A(0,0) = $A(x_{1}, y_{1})$ and C(30,36) = $C(x_{2}, y_{2})$ .

The length of the original segment can be calculated using distance formula:

AC = $\sqrt{}( x_{2}- x_{1})^ {2} + (y_{2}- y_{1})^ {2}$

$AC=\sqrt{(30-0)^{2}+(36-0)^{2}$

$AC=\sqrt{900+1296} \\$

$AC = (6\sqrt{61})$ .

Thus, the actual length is 40 times the length of the segment drawn by the architect.

Thus, the proportion of the model is 1:40

4 0

3 years ago

Read 2 more answers

Write two equivalent expressions involving decimals that illustrate the distributive property

Ilya [14]

Distributive Property of each given equation:
96 divided by 6
 => 2(40 + 8) / 6
 => (80) + (16) / 6
 => 96 / 6
 => 16

85 divided by 5
 =>(2(30 + 15) - 5 )/ 5
 => ((60 + 30) - 5) / 5
 => (90 - 5 ) / 5
 => 85 / 5
 => 17

85 divided by 6
 =>(2(30 + 15) - 5 )/ 6
 => ((60 + 30) - 5) / 6
 => (90 - 5 ) / 6
 => 85 / 6
 => 14.166…

168 divided by 7
 =>3(50 + 6) / 7
 => (150 + 18) / 7
 => (168 ) / 7
 => 24

104 divided by 4
 =>2(50 + 2) / 4
 => (100 + 4) / 4
 => 104 / 4
 => 26 

171 divided by 9
=> 3 (50 + 7) / 9
 => (150 + 21) / 9
 => (171) / 9
 => 19

102 divided by 9
 => 2 (50 + 1) / 9
 => ((2 x 50) + (2 x 1)) / 9
 => (100 + 2 ) / 9
 => 102 / 9
 => 11.333……

102 divided by 6
 => 2 (50 + 1 ) / 6
 => ((2 x 50) + (2 x 1)) / 6
 => (100 + 2) / 6
 => 102 / 6
=> 17

210 divided by 5
 => 2 (100 + 5) / 5
 => ( (2 x 100) + (2 x 5) ) /5
 => (200 + 10) / 5 
 => 210 /5
 => 42

5 0

4 years ago

An amusement park charges and admission fee of 30 dollars for each person. Let C be the cost (in dollars) of admission for P peo

bogdanovich [222]

Answer:

14

Step-by-step explanation: B is the midpoint of AC, in other words it is the halfway point.

So A to B should be equal to B to C

Our expression is:

2x + 9 = 37

Subtract 9

2x = 28

Divide by 2

x = 14

5 0

3 years ago

Jake wants to estimate 15.92 + 0.85. How can he use rounding to estimate the sum? What is the estimate?

iVinArrow [24]

Round 15.92 to 16 and .85 to 1 16 plus 1 = 17

8 0

3 years ago

Read 2 more answers