All categories

2 years ago

Which function is the inverse of f(x) = 2x + 3?

Mathematics

1 answer:

Harlamova29_29 [7]2 years ago

7 0

I think we are doing the same assignment, I selected number 2

You might be interested in

Jefferson middle school students were asked which sports are the coming year 26 students in basketball and eight sports a total

lora16 [44]

<span>About 5 students
hope I can help you:)
</span>

5 0

2 years ago

Find a particular solution to the nonhomogeneous differential equation y??+4y?+5y=?10x+e^(?x).

Firdavs [7]

Answer:

A) Particular solution:

$2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

B) Homogeneous solution:

$y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))$

C) The most general solution is

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

Step-by-step explanation:

Given non homogeneous ODE is

$y''+4y'+5y=10x+e^{-x}---(1)$

To find homogeneous solution:

$D^{2}+4D+5=0\\D^{2}+4D+4-4+5=0\\\\(D+2)^{2}=-1\\D+2=\pm iD=-2 \pm i\\y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))---(2)$

To find particular solution:

$y_{p}=Ax+B+Ce^{-x}\\\\y'_{p}=A-Ce^{-x}\\y''_{p}=Ce^{-x}\\$

Substituting $y_{p},y'_{p},y''_{p}$ in (1)

$y''_{p}+4y'_{p}+5y_{p}=10x+e^{-x}\\Ce^{-x}+4(A-Ce^{-x})+5(Ax+B+Ce^{-x})=10x+e^{-x}\\$

Equating the coefficients

$5Ax+2Ce^{-x}+4A+5B=10x+e^{-x}\\5A=10\\A=2\\4A+5B=0\\B=-\frac{4A}{5}B=-\frac{8}{5}2C=1\\C=\frac{1}{2}\\So,\\y_{p}=2x+\frac{1}{2}e^{-x}-\frac{8}{5}---(3)\\$

The general solution is

$y=y_{h}+y_{p}$

from (2) ad (3)

$y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}$

6 0

2 years ago

If a car travels 48 miles per hour, ABOUT how many miles does it travel in 5 hours?<br><br> Thanks!!

zimovet [89]

240, just multiply 48 by 5

5 0

2 years ago

Read 2 more answers

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Minchanka [31]

Answer:

Step-by-step explanation:

2k+10 | Both terms share the common factor two, so you can take it out (divide both terms by 2)

2(k+5) | Now if you use the Distributive Property to double check, you get 2k+ 10 again

4 0

3 years ago

What is the quotient of 4.8 divided by -0.4

Anna [14]

Answer:

the quotient is keeping batman alive

6 0

2 years ago

Read 2 more answers