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kumpel [21]
2 years ago
9

X(5)+2=244help pls(^_^)​

Mathematics
2 answers:
arsen [322]2 years ago
6 0

Simplify both sides of the equation

  • 5x+2=244

Subtract 2 from both sides

  • 5x+2−2=244−2
  • 5x=242

Divide both sides by 5

\frac{5x}{5}  =  \frac{242}{5}

  • Answer

\: x =  \dfrac{242}{5}

OR

\: x =  48.4

vodomira [7]2 years ago
6 0

The solution to the given problem is:

  • 48.4

To find the value of x, one would have to spread out the terms.

5x+2 = 244

Then we would make x the subject formula

5x= 244-2

5x=242

Divide both sides by 5 (value of x)

x= 242/5

Therefore, the value of x is  48. 4

Read more about algebra here:

brainly.com/question/19566504

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Find the function y1 of t which is the solution of 121y′′+110y′−24y=0 with initial conditions y1(0)=1,y′1(0)=0. y1= Note: y1 is
strojnjashka [21]

Answer:

Step-by-step explanation:

The original equation is 121y''+110y'-24y=0. We propose that the solution of this equations is of the form y = Ae^{rt}. Then, by replacing the derivatives we get the following

121r^2Ae^{rt}+110rAe^{rt}-24Ae^{rt}=0= Ae^{rt}(121r^2+110r-24)

Since we want a non trival solution, it must happen that A is different from zero. Also, the exponential function is always positive, then it must happen that

121r^2+110r-24=0

Recall that the roots of a polynomial of the form ax^2+bx+c are given by the formula

x = \frac{-b \pm \sqrt[]{b^2-4ac}}{2a}

In our case a = 121, b = 110 and c = -24. Using the formula we get the solutions

r_1 = -\frac{12}{11}

r_2 = \frac{2}{11}

So, in this case, the general solution is y = c_1 e^{\frac{-12t}{11}} + c_2 e^{\frac{2t}{11}}

a) In the first case, we are given that y(0) = 1 and y'(0) = 0. By differentiating the general solution and replacing t by 0 we get the equations

c_1 + c_2 = 1

c_1\frac{-12}{11} + c_2\frac{2}{11} = 0(or equivalently c_2 = 6c_1

By replacing the second equation in the first one, we get 7c_1 = 1 which implies that c_1 = \frac{1}{7}, c_2 = \frac{6}{7}.

So y_1 = \frac{1}{7}e^{\frac{-12t}{11}} + \frac{6}{7}e^{\frac{2t}{11}}

b) By using y(0) =0 and y'(0)=1 we get the equations

c_1+c_2 =0

c_1\frac{-12}{11} + c_2\frac{2}{11} = 1(or equivalently -12c_1+2c_2 = 11

By solving this system, the solution is c_1 = \frac{-11}{14}, c_2 = \frac{11}{14}

Then y_2 = \frac{-11}{14}e^{\frac{-12t}{11}} + \frac{11}{14} e^{\frac{2t}{11}}

c)

The Wronskian of the solutions is calculated as the determinant of the following matrix

\left| \begin{matrix}y_1 & y_2 \\ y_1' & y_2'\end{matrix}\right|= W(t) = y_1\cdot y_2'-y_1'y_2

By plugging the values of y_1 and

We can check this by using Abel's theorem. Given a second degree differential equation of the form y''+p(x)y'+q(x)y the wronskian is given by

e^{\int -p(x) dx}

In this case, by dividing the equation by 121 we get that p(x) = 10/11. So the wronskian is

e^{\int -\frac{10}{11} dx} = e^{\frac{-10x}{11}}

Note that this function is always positive, and thus, never zero. So y_1, y_2 is a fundamental set of solutions.

8 0
2 years ago
**22 POINTS** Please solve this fraction as a difference
Ghella [55]

Answer:

\dfrac{x}{4}-\dfrac{7}{12}

Step-by-step explanation:

The fraction is the equivalent of ...

\dfrac{1}{12}{(3x-7)

and the distributive property applies.

=\dfrac{1}{12}(3x)-\dfrac{1}{12}(7)\\\\=\dfrac{3\cdot x}{3\cdot 4}-\dfrac{7}{12}\\\\=\dfrac{x}{4}-\dfrac{7}{12}

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3 years ago
Two pentagons are similar. So, their corresponding sides must have the same lengths.
Paul [167]
False.

they are similar not exactly alike.
5 0
3 years ago
Solve 11x+10y=32..... Will mark the brainliest!
erica [24]

The equation 11x + 10y = 32 is a linear equation, and the solution to the linear equation 11x + 10y = 32 is y = \frac{32 - 11x}{10}

<h3>How to solve the equation?</h3>

The equation is given as:

11x + 10y = 32

Subtract 11x from both sides

10y = 32 - 11x

Divide both sides by 10

y = \frac{32 - 11x}{10}

Hence, the solution to the linear equation 11x + 10y = 32 is y = \frac{32 - 11x}{10}

Read more about linear equations at:

brainly.com/question/14323743

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What is the main intent of this report? to explain the services of Fast Pax to convince people to ship using Fast Pax to convinc
AleksAgata [21]

The third option is the answer

Step-by-step explanation:

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3 years ago
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