All categories

3 years ago

I need help it’s hard

Mathematics

1 answer:

Reika [66]3 years ago

6 0

9514 1404 393

Answer:

f^-1(x) = (x +4)/3

Step-by-step explanation:

The inverse function is found by swapping x and y, then solving for y.

y = 3x -4 . . . . . function y = f(x)

x = 3y -4 . . . . . inverse relation

x +4 = 3y . . . . add 4

(x +4)/3 = y . . . divide by 3. This is the inverse function

f^-1(x) = (x +4)/3

You might be interested in

A sample of tritium-3 decayed to 94.5% of its original amount after a year.

Zolol [24]

(a) If $y(t)$ is the mass after $t$ days and $y(0) = A$ then $y(t) = Ae^{kt}.$

$y(1) = Ae^k = 0.945A \implies e^k = 0.945 \implies k = \ln 0.945$

$\text{Then } Ae^{(\ln 0.945)t} = \frac{1}{2}A\ \Leftrightarrow\ \ln e^{(\ln 0.945)t} = \ln \frac{1}{2}\ \Leftrightarrow\ ( \ln 0.945) t = \ln \frac{1}{2} \Leftrightarrow \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 12.25 \text{ years}$

(b)
$Ae^{(\ln 0.945) t} = 0.20 A \ \Leftrightarrow\ (\ln 0.945) t \ln \frac{1}{5}\ \implies \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 28.45\text{ years}$

3 0

3 years ago

Based on the graph below, which point is a solution?

Butoxors [25]

Answer:

A.(5,1) to

Step-by-step explanation:

because the y axis is on a 5 and the x axis doesn't have a question ❓⁉️ so you have (A) to be your answer

4 0

2 years ago

Joe paid $14 for a board game. this is 70% of the original price. what was the original price?

tino4ka555 [31]

Step-by-step explanation:

It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.

Let the original price of board game be

x * 70/100 = 14

x * 7/10 = 14

Multiply both sides by 10.

7x = 140

Divide both sides by 7.

x = 20

4 0

1 year ago

11) Identify the range of this set of ordered pairs: <br><br> {(3,5), (2, 0), (-6, -1), (5, 1)}

Veronika [31]

Range is the difference of min and max y values

3 0

3 years ago

SHORT RESPONSE Two angles of a triangle have measures of 35° and 80°. Find the values of the exterior angle measures of the tria

Oduvanchick [21]

Answer:

Step-by-step explanation:

Before giving the exterior angles, find the third angle. A triangle (all triangles) measure 180 degrees.

35 + 80 + x = 180

115 + x = 180

x = 180 - 115

x = 65

Exterior angles are supplements of the interior angles.

So the exterior angle to 65 degrees is 180 - 65 = 115

And the exterior angle to 35 degrees is 180-35 = 145

The exterior angle to 80 degrees is 180 - 100 = 80

5 0

2 years ago