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3 years ago

7

How many Solutions does 6 + x/5 = x/5 - 5 - 3x/10 have?

1 answer:

klasskru [66]3 years ago

6 0

9514 1404 393

Answer:

1 solution (x = -36 2/3)

Step-by-step explanation:

6 + x/5 = x/5 - 5 - 3x/10 . . . . . . . given

60 +2x = 2x -50 -3x . . . . . . . . . multiply by 10

3x = -110 . . . . . . . . . . . . . . . . add x-60 to both sides

x = -110/3 = -36 2/3 . . . . . .divide by the coefficient of x

There is one solution to the equation.

_____

<em>Additional comment</em>

The coefficient of x on the left side of the equation is not equal to the coefficient of x on the right side. When that is the case, the equation will have one solution.

When the coefficients are equal, there will be no solutions if the constants are different, and there will be infinite solutions if the constants are the same.

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Step-by-step explanation:

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Read 2 more answers

If f(x)=x+3 and g(x)= x^2 -4 find the expression for g(f(x))

Maksim231197 [3]

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Step-by-step explanation:

g(f(x))= x^2 -4

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3 years ago

Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.

Mrrafil [7]

Answer:

$E(X_n)=\frac{2(n-1)}{27}$

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Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green $g=4$

Number of yellow $y=4$

Number of white $w=4$

Probability of Green Followed by yellow P(GY) ball

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Generally the equations for when n is even is mathematically given by

$Probability of success P(S)=\frac{4}{27}$

$Probability of Failure P(F)=\frac{27-4}{27}$

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Therefore

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$E(X_n)=\frac{2n}{27}$

Generally the equations for when n is odd is mathematically given by

$\frac{n-1}{2}$

$E(X_n)=\frac{n-1}{2}*\frac{4}{27}$

$E(X_n)=\frac{2(n-1)}{27}$

b)

Probability of drawing white ball

$P(w)=\frac{2}{9}$

Therefore

$E(w)=\frac{1}{p}$

$E(w)=\frac{1}{\frac{2}{9}}$

$E(w)=\frac{9}{2}$

Therefore

$E(y)=[E(w)-1]\frac{4}{9}$

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3 years ago

Given m|n, find the value of x.

horsena [70]

Answer:

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Step-by-step explanation:

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