Solve for x of the triangle <br><br> x^2=3x7

- Solve for x. 7x + 6 – 5x + 10 = 4 *

DaniilM [7]

Answer:

x= -6

Step-by-step explanation:

3 0

3 years ago

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How many years will Samsung galaxy 2 in 1 laptop last

rodikova [14]

Answer:

i think 6 years because i always used it

Step-by-step explanation:

make me my brainliest answer

4 0

2 years ago

Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y

Zina [86]

Answer:

Step-by-step explanation:

The given differential equation is:

$x^3y'' + 2x^2y' + 4y$

the main task here is to determine the singular points of the given differential equation and Classify each singular point as regular or irregular.

So, for a regular singular point ; $x=x_o$ is located at the first power in the denominator of P(x) likewise at the Q(x) in the second power of the denominator. If that is not the case, then it is termed as an irregular singular point.

Let first convert it to standard form by dividing through with x³

$y'' + \dfrac{2x^2y'}{x^3} + \dfrac{4y}{x^3} =0$

$y'' + \dfrac{2y'}{x} + \dfrac{4y}{x^3} =0$

The standard form of the differential equation is :

$\dfrac{d^2y}{dy} + P(x) \dfrac{dy}{dx}+Q(x)y =0$

Thus;

$P(x) = \dfrac{2}{x}$

$Q(x) = \dfrac{4}{x^3}$

The zeros of $x,x^3$ is 0

Therefore , the singular points of above given differential equation is 0

Classify each singular point as regular or irregular.

Let p(x) = xP(x) and q(x) = x²Q(x)

p(x) = xP(x)

p(x) = $x*\dfrac{2}{x}$

p(x) = 2

q(x) = x²Q(x)

q(x) = $x^2 * \dfrac{4}{x^3}$

q(x) = $\dfrac{4}{x}$

The function (f) is analytic if at a given point a it is represented by power series in x-a either with a positive or infinite radius of convergence.

Thus ; from above; we can say that q(x) is not analytic at x = 0

$Q(x) = \dfrac{4}{x^3}$ do not satisfy the condition,at most to the second power in the denominator of Q(x).

Thus, the point x =0 is an irregular singular point

6 0

3 years ago

Suppose a large shipment of laser printers contained 22% defectives. If a sample of size 276 is selected, what is the probabilit

Mrrafil [7]

Answer:

The probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p\\\\$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

The information provided is:

$p=0.22\\n=276$

As the sample size is large, i.e. <em>n</em> = 276 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion.

Compute the value of $P(\hat p-p$ as follows:

$P(\hat p-p$

Thus, the probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

6 0

3 years ago

some species of bacteria can copy their DNA and divide every 40 minutes. If a COLONY of 100 of these such bacteria begins with a

VikaD [51]

Answer:

The answer is 51,200 bacterium.

Step-by-step explanation: So you need to figure out the time between 12 and 6pm, then divide it by 40. 12-6 is 360 minutes, you divide by 40 and you get 9 divisions. Multiply the 100 x 2=200, 200 x 2 =400, and so on for 9 times.

You get a result of 51,200 bacterium.

8 0

3 years ago

Solve for x of the triangle x^2=3x7