How many solutions can be found for the equation 12x + 8 = 12x + 8?

2 answers:

4 0

It is an infinite solution. It is this because if you subtract 12x on both sides, you get 8=8, causing an infinite solution equation.

tensa zangetsu [6.8K]3 years ago

3 0

Answer:

Option 4th is correct

Infinitely many solution

Step-by-step explanation:

Given the equation:

$12x +8 = 12x +8$

Subtraction property of equality states that you subtract the same number to both sides of an equation.

Subtract 12 x from both sides we have;

$12x +8-12x = 12x +8-12x$

Combine like terms;

$8 = 8$ True for all x.

⇒Infinitely many solutions can be found for the given equation.

You might be interested in

When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial

Serjik [45]

Answer:

0.1694 = 16.94% probability of a positive result for three samples combined into one mixture.

Step-by-step explanation:

For each test, there are only two possible outcomes. Either it is positive, or it is negative. The probability of a test being positive or negative is independent of any other test, which means that the binomial probability distribution is used to solve this question.

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.

The probability of an individual blood sample testing positive for the virus is 0.06.

This means that $p = 0.06$

If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture.

It will be positive if at least one of the tests is positive, that is:

$P(X \geq 1) = 1 - P(X = 0)$