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2 years ago

15

Mathematics

1 answer:

IceJOKER [234]2 years ago

4 0

4x+3x=7x

18 girls-5%

Total no: of girlsx5/100=18

Total-100x18/5-360 girls

4x+3607x

360-7x-4x

360-3x

x=360/3-120

4x=4x120=480

3x=3x120=360

Total no: of students=480+360-840

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What are the right choices

MA_775_DIABLO [31]

Answer:

(0.1,1.1)

Step-by-step explanation:

we have

$f(x)=3^{x}$

$g(x)=-log(x)$

Solve the system of equations by graphing

The solution is the intersection point both graphs

The solution is the point (0.081,1.093)

see the attached figure

Round to the nearest tenth ----> (0.1,1.1)

6 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

4) The heat is turned on in a room. After 5 minutes, the temperature is 64 °F and after 25 minutes, the

damaskus [11]

Answer:

F=0.4t

Step-by-step explanation:

Find the slope using the formula rise over run or y2-y2 over x2-x1

y2=72 y1=64 x2=25 x1=5

72-64/25-5=8/20=0.4

6 0

2 years ago

Read 2 more answers

Describe each step taken to solve the equation. Then, check the solution to see if it is valid. If it is not a valid solution, e

TEA [102]

Answer:

Step-by-step explanation:

given,

a) √x + 6 = 4

to solve the above equation subtract both side with 6

√x + 6 - 6 = 4 - 6

√x = -2

squaring both side

(√x)² = (-2)²

x = 4

a) ∛x + 6 = 4

to solve the above equation subtract both side with 6

∛x + 6 - 6 = 4 - 6

∛x = -2

cubing both side

(√x)³ = (-2)³

x = -8

4 0

3 years ago

What is the rate of change for the graph shown below?

VikaD [51]

Answer:

-3/4

Step-by-step explanation:

the rate of change is the slope of the line

7-3/0-(-4) = -3/4

8 0

3 years ago