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2 years ago

Reduce to simplest form 3/2 + ( -6/5 ) = ?

Mathematics

2 answers:

kakasveta [241]2 years ago

6 0

3/10 is the answer to this question

frosja888 [35]2 years ago

5 0

Answer:

Step-by-step explanation: 3/2=1.5 (-6/5)=(-1.2) 1.5+(-1.2)=0.3

Answer=0.3

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Find the general solution of x'1 = 3x1 - x2 + et, x'2 = x1.

Ann [662]

Note that if ${x_2}'=x_1$ , then ${x_2}''={x_1}'$ , and so we can collapse the system of ODEs into a linear ODE:

${x_2}''=3{x_2}'-x_2+e^t$
${x_2}''-3{x_2}'+x_2=e^t$

which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

$r^2-3r+1=\left(r-\dfrac{3+\sqrt5}2\right)\left(r+\dfrac{3+\sqrt5}2\right)=0$

so that the characteristic solution is

${x_2}_C=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}$

Now let's suppose the particular solution is ${x_2}_p=ae^t$ . Then

${x_2}_p={{x_2}_p}'={{x_2}_p}''=ae^t$

and so

$ae^t-3ae^t+ae^t=-ae^t=e^t\implies a=-1$

Thus the general solution for $x_2$ is

$x_2=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}-e^t$

and you can find the solution $x_1$ by simply differentiating $x_2$ .

7 0

4 years ago

Help! this is in algebra 1

Scrat [10]

Answer: I have the pictures attached

Step-by-step explanation:

In order to graph this, we have to get it into this equation: y = mx + b, where m = slope and b = y intercept.

y = 3/2x - 4 is already in this form.

2y + 4 = 2 + 3x is not, so we have to isolate y

2y + 4 - 4 = 2 + 3x - 4

2y = -2 + 3x

2y/2 = -2/2 + 3x/2

y = -1 + 3/2x

y = 3/2x - 1

Okay, now graph it knowing your y intercepts and your slopes.

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3 years ago

What is 5÷871 Equals two

NeX [460]

871 divided by 5 is 174.2

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4 years ago

Can someone please help me with this!! The equation y=4x+2 represents Function G. Which statement is true?

irga5000 [103]

QUESTION :> WHATS STATEMENT IS TRUE ?

ANSWER :> A. OR THE RATE OF FUNCTION G IS GREATER THAN THE RATE OF FUNCTION F BECAUSE 

 2 > (9 — 7).

HOPE IT HELPS 

<h2>#CARY ON LEARNING</h2>

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2 years ago

Compute the radius of a circle with a circumference of 255 inches. Use 3.14 for pi

gogolik [260]

Answer:

the answer is 40 hope this helps you

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3 years ago