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4 years ago

99 Points!!!!!!!!!!!

Mathematics

1 answer:

UNO [17]4 years ago

6 0

The given equations is:

9x - 3y = 12

The slope intercept form is:

y = mx + b

Change/Solve:

9x - 3y = 12

-9x -9x

--------------------

-3y = -9x + 12

/-3 /-3 /-3

--------------------

y = 3x - 4

The new equation in slope intercept form is:

y = 3x - 4

The slope in the equation is:

Hope I helped!

-Char

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The official run time of a movie is 140 minutes.Your friend who has seen the movie says its about 2.3 hours

Elza [17]

A.
1 hour = 60 minutes ;
2 hour s= 120 minutes;
140 - 120 = 20 minutes ;
20 = 60 ÷ 3 ;
20 minutes represents ( 1 / 3 ) hour;
Then, 140 minutes represents 2 1 / 3 hours ;
2 1 / 3 = 7 / 3 = 2.(3) ;
B.
2.(3) > 2.3 ;
your friend underestimate the length of the movie ;

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4 years ago

Which trinomial is a perfect square trinomial?

evablogger [386]

<span>Which trinomial is a perfect square trinomial?

A) a^2 - 12a + 36
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4 years ago

Read 2 more answers

Solve the given DE<br><br> dx/dt=3x+2y+1<br><br> dy/dt=-2x-y+1

kirill115 [55]

We can solve for $x(t)$ first by rewriting the system of first-order ODEs as a single second-order ODE in $x(t)$ :

Taking the derivative of the first ODE gives

$\dfrac{\mathrm dx}{\mathrm dt}=3x+2y+1\implies\dfrac{\mathrm d^2x}{\mathrm dt^2}=3\dfrac{\mathrm dx}{\mathrm dt}+2\dfrac{\mathrm dy}{\mathrm dt}$

while solving for $2y$ gives

$\dfrac{\mathrm dx}{\mathrm dt}=3x+2y+1\implies2y=\dfrac{\mathrm dx}{\mathrm dt}-3x-1$

Then

$\dfrac{\mathrm d^2x}{\mathrm dt^2}=3\dfrac{\mathrm dx}{\mathrm dt}+2(-2x-y+1)$

$\dfrac{\mathrm d^2x}{\mathrm dt^2}=3\dfrac{\mathrm dx}{\mathrm dt}-4x-2y+2$

$\dfrac{\mathrm d^2x}{\mathrm dt^2}=3\dfrac{\mathrm dx}{\mathrm dt}-4x-\left(\dfrac{\mathrm dx}{\mathrm dt}-3x-1\right)+2$

$\implies\dfrac{\mathrm d^2x}{\mathrm dt^2}-2\dfrac{\mathrm dx}{\mathrm dt}+x=3$

which is linear with constant coefficients, so it's trivial to solve; the corresponding homogeneous ODE

$x''-2x'+x=0$

has characteristic equation

$r^2-2r+1=(r-1)^2=0$

with root $r=1$ (multiplicity 2), so the characteristic solution is

$x_c=C_1e^t+C_2te^t$

For the non-homogeneous ODE, assume a particular solution of the form

$x_p=a\implies{x_p}'={x_p}''=0$

Substituting these into the ODE gives

$0-2\cdot0+a=3\implies a=3$

Then the general solution for $x(t)$ is

$\boxed{x(t)=C_1e^t+C_2te^t+3}$

From here, we find

$\dfrac{\mathrm dx}{\mathrm dt}=C_1e^t+C_2(t+1)e^t$

so that

$2y=(C_1e^t+C_2(t+1)e^t)-3(C_1e^t+C_2te^t+3)-1$

$\implies\boxed{y(t)=\left(\dfrac{C_2}2-C_1\right)e^t-C_2te^t-5}$

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4 years ago

Choose the number that belongs to the set described

coldgirl [10]

Answer:

Natural numbers,integers, rational numbers, irrational numbers.

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3 years ago

Spencer surveyed five of his friends to find out how many pets they have. His results are shown in the table below. What is the

professor190 [17]

The mean of the number of pets which Spencer has surveyed for five of his friends is number 3.

The mean of the data is the average value of the given data. The mean of the data is the ratio of sum of all the values of data to the total number of values of data.

Spencer has surveyed five of his friends to known that how many pets they have.

His results are shown in the table below. Cody has 1 Lara has 4 Sam has 5 Ella has 3 Maria has 2. There are total 5 friends. Thus the mean number of pets is:

$\text{Mean}=\dfrac{1+4+5+3+2}{5}\\\text{Mean}=\dfrac{15}{5}\\\text{Mean}=3$

Thus, the mean of the number of pets which Spencer has surveyed for five of his friends is number 3.

Learn more about the mean of the data here;

brainly.com/question/14532771

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