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3 years ago

Solve this equation: 8(3x - 6) = 6(4x + 8)

Mathematics

1 answer:

Ksivusya [100]3 years ago

6 0

Answer:

C. Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has no solution.

Step-by-step explanation:

8(3x - 6) = 6(4x + 8)

24x - 48 = 24x + 48

minus 24x from both sides and you get -48 = 48

A false statement means one side does not equal the other. False statement always means no solution

you can solve this equation for x, but looking at the answers it's not what the question is asking for

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A product is made up of components A, B, C, D, E, F, G, H, I, and J. Components A, B, C, and F have a 1/10,000 chance of failure

lesantik [10]

Answer:

The overall reliability is 99.7402 %

Step-by-step explanation:

The overall reliability of the product is calculated as the product of the working probability of the components.

For components A,B,C and F we have :

$P(failure)=\frac{1}{10000}$

⇒

$P(Work)=1-\frac{1}{10000}=\frac{9999}{10000}=0.9999$

For components D,E,G and H we have :

$P(failure)=\frac{3}{10000}$

⇒

$P(Work)=1-\frac{3}{10000}=\frac{9997}{10000}=0.9997$

Finally, for components I and J :

$P(failure)=\frac{5}{10000}$

⇒

$P(Work)=1-\frac{5}{10000}=\frac{9995}{10000}=0.9995$

Now we multiply all the working probabilities. We mustn't forget that we have got ten components in this case :

Components A,B,C and F with a working probability of 0.9999

Components D,E,G and H with a working probability of 0.9997

Components I and J with a working probability of 0.9995

Overall reliability = $(0.9999)^{4}(0.9997)^{4}(0.9995)^{2}=0.997402$

0.997402 = 99.7402 %

4 0

3 years ago

Match each quadratic equation with the best way to solve it.

Blizzard [7]

Answer:

5x^2 + 12x -3 =0 ---------> solve by quadratic formula

x^2 -4x = 8 ----------> solve by completing the square

4x^2 -25 = 0 ----------> solve by square root method

x^2-5x+ 6 = 0 -----------> solve by factoring

Step-by-step explanation:

1. 5x^2 + 12x -3 =0

The best way to solve this equation is quadratic formula as all the terms in the equation have coefficients it will be convenient to solve it through quadratic formula.

2. x^2 -4x = 8

The best way to solve this equation is by completing the square as the factors cannot be made directly.

3. 4x^2 -25 = 0

the best way to solve this equation is to solve by square root method as the 25 and 4 are perfect squares.

4. x^2-5x+ 6 = 0

The best way to solve this equation is to solve by factoring as it can clearly be seen that it is convenient to make factors ..

7 0

3 years ago

Solve for j. 3 + 4 2 -3

xeze [42]

Answer:

Hello!

Step-by-step explanation:

How do we solve for j when there is no equation with j in it to solve for j. Hope we can help you with this when we get a equation!

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3 years ago

Are the 2 triangles congruent? If so, what postulate did you use?

jok3333 [9.3K]

Answer:

Step-by-step explanation:

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3 years ago

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Hunter-Best [27]

The missing numbers would be 12-6

5 0

3 years ago

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