3/(x+2) - 2/(x-1) ≥ 0

Owen solves the equation below and his steps are shown. When he plugged his solution back into the original equation, he did not

Usimov [2.4K]

Answer:

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

The correct value of x is 3.6

Step-by-step explanation:

To solve the given equation, we will follow the steps below;

3 (x-4) = -4 - 2 (x-5)

step 1 : open the parentheses

That is, 3x - 12 = -4 - 2x + 10

Step 2 : simplify, that is, yo can add the or subtract like terms

hence

3x - 12 = -2x -4 + 10

step 3 :

3x - 12 = -2x + 6

step 4 : Add 2x to both-side of the equations in order to nullify the 2x on the right-hand side of the equation

3x + 2x - 12 = -2x + 2x + 6

step 5:

5x - 12 = 6

step 6: Add 12 to both-side of the equation

5x - 12 + 12 = 6 + 12

step 7

5x = 18

Step 8: divide both-side of the equation by 5

5x/5 = 18/5

step 9:

x =3.6

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

That is why he got the wrong answer.

4 0

3 years ago

Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone

Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of each system working:

4 components, which means that $n = 4$

Each has a 30% probability of failing, so $p = 1 - 0.3 = 0.7$

For the system to work, all 4 components have to work. This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401$

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so $n = 7$

0.2401 probability of a system working.

We have to find P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615$

16.15% probability that exactly 3 of them would function

5 0

3 years ago

The quantity demanded x for a certain brand of MP3 players is 100 units when the unit price p is set at $80. The quantity demand

Cerrena [4.2K]

Answer:p = (2100 - x)/25

Step-by-step explanation:

According to the law of demand, when the price,p of the brand of MP3 players is is high, the quantity,x of the brand of MP3 players demanded would be low and when the price,p of the brand of MP3 players is is low, the quantity,x of the brand of MP3 players demanded would be high.

To derive the demand equation, we would apply the slope intercept form of equation which is expressed as

y = mx + c

Where

m = slope

c = intercept

The slope, m would be

(y2 - y1)/(x2 - x1)

Slope = (1100 - 100)/(40 - 80) = 1000/-40

Slope = - 25

To find the y intercept, we would substitute m = - 25, y = 1100 and x = 40 into y = mx + c. It becomes

1100 = - 25 × 40 + c

1100 = - 1000 + c

c = 1100 + 1000 = 2100

y = - 25x + 2100

Therefore, the demand equation is

x = - 25p + 2100

25p = 2100 - x

p = (2100 - x)/25

4 0

3 years ago

Choose all that define a rectangle in the coordinate plane by the four given points.

inysia [295]

Answer:

The answer is A(-3,-4) B(-1,2) C(2,1) D(0,-5)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Please help guys!! I’ll mark you as brainlyest!!

fgiga [73]

Answer:

138

Step-by-step explanation:

6 0

3 years ago