All categories

2 years ago

If f (x) = 8 (5x - 2) find f (x)

Mathematics

1 answer:

Pepsi [2]2 years ago

8 0

Answer:

f-1(x) = (x - 16)/40

Step-by-step explanation:

Call f(x) = y

Interchange x and y

x = (5y + 2)*8 Remove the brackets

x = 40y + 16 Subtract 16 from both sides

x - 16 = 40y Interchange the left and right sides

40y = x - 16 Divide by 40

y = (x - 16)/40

f-1(x) = (x - 16)/40

You might be interested in

Which equation has infinitely many solutions?

Verdich [7]

Answer:

The second option (5x+14-4x=23+x-9)

Step-by-step explanation:

For an equation to have infinitely many solutions each side must be exactly the same when simplified.

12+4x=6x+10-2x

Combine alike terms.

12+4x=4x+10

Subtract 4x from each side

12=10

This is not true so this equation has no solutions.

5x+14-4x=23+x-9

Combine alike terms

x+14=14+x

subtract x from each side

14=14

This is true so this equation has infinitely many solutions.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

5 0

2 years ago

Read 2 more answers

A motorcycle make 100 revelation in moving a distance of 220m find the diameter of the wheel

Natalija [7]

Answer:

Step-by-step explanation:

If it goes 220 meters and has made 100 revolutions that means that each revolution is 220 meters / 100 = 2.2 meters.

That's the same thing as saying that the wheel has a circumference of 2.2 meters.

Circumference = 2*pi * r = pi * d

2 = pi * d

2 = 3.14 * d

2/3.14 = d

d = 0.6369 meters

5 0

2 years ago

Check my answer?

8_murik_8 [283]

B. Compare independent variables

4 0

2 years ago

The Michigan veteran population in 1990 was 14.2% and in 2000 was 12.4%.

Mandarinka [93]

Let x- intercept represents time

Let y-intercept represents population

Let 1990 represent initial year

Points are (0,14.2)(10,12.4)

slope m= $\frac{y2-y1}{x2-x1}$

= $\frac{12.4-14.2}{10-0} =\frac{-1.8}{10} = -0.08$

General linear equation

y= mx+b --------------(i)

here m is slope and b is intercept

plug the 1st point in equation

14.2= -0.018(0) + b

b=14.2

y= 0.018x + 14.2

replace y with p(t) and x with t

p(t) = -0.018t + 14.2

6 0

2 years ago

What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?

hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

All together: 5x - 15 -2x - 2 = 4

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

All together: 3x - 17 = 4

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

20 - 16 = 4

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0

2 years ago

If f (x) = 8 (5x - 2) find f (x)​

If f (x) = 8 (5x - 2) find f (x)