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3 years ago

Which equation is equivalent to 2x+4a=10 A. X= 5/4a B.5+2a C. X=10-4a D. X=5-2a

Mathematics

2 answers:

posledela3 years ago

7 0

Answer: The correct option is

(D) $x=5-2a.$

Step-by-step explanation: We are given to select the equivalent equation for the following equation :

$2x+4a=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the equivalent equation, we need to take x on one side and other terms on the other side of the equation.

From equation (i), we have

$2x+4a=10\\\\\Rightarrow 2(x+2a)=10\\\\\Rightarrow x+2a=5\\\\\Rightarrow x=5-2a.$

Thus, the required equivalent equation is $x=5-2a.$

Option (D) is CORRECT.

kifflom [539]3 years ago

5 0

Alright, so we start off my subtracting 4a from both sides, separating the x and getting 10-4a=2x. Next, we divide both sides by 2, getting that 5-2a=X

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The number of lightning strikes in a year at the top of a particular mountain has a poisson distribution with a mean of 3.8. fin

atroni [7]

Let X be the number of lightning strikes in a year at the top of particular mountain.

X follows Poisson distribution with mean μ = 3.8

We have to find here the probability that in randomly selected year the number of lightning strikes is 0

The Poisson probability is given by,

P(X=k) = $\frac{e^{-mean} mean^{x}}{x!}$

Here we have X=0, mean =3.8

Hence probability that X=0 is given by

P(X=0) = $\frac{e^{-3.8} 3.8^{0}}{0!}$

P(X=0) = $\frac{0.02237 * 1}{1}$

P(X=0) = 0.0224

The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224

5 0

3 years ago

2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

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kondaur [170]

Edit your question so we know what you are asking

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2 years ago

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bazaltina [42]

1/5...
This question should be relatively easy for a high schooler...

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3 years ago

Read 2 more answers

Solve the equation 23(9+x)=−5(4−x).

NemiM [27]

Answer:

x= $-\frac{277}{18}$

Step-by-step explanation:

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2 years ago