Mohon bantuannya kawan

Expand and simplify (2x−12) ^2

lubasha [3.4K]

Answer:

$\boxed{4x^{2} - 48x + 144}$

Step-by-step explanation:

Given expression:

(2x - 12)²

To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².

[Where "a and b" are the first and second term in (a - b)²]

$\rightarrowtail (2x - 12)^{2}$

In this case, the first term of (2x - 12)² is "2x" and the second term is "12".

$\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{First term = a = 2x; Second term = b = 12]}$

Now, simplify the expression.

$\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}$

$\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)$

$\rightarrowtail \boxed{4x^{2} - 48x + 144}$

4 0

2 years ago

la edad de josé y beatriz están en la relacion de 5 a4 . si dentro de 3 años la suma de ambas edades seran 60 años , ¿ cual es l

miss Akunina [59]

Answer:

La edad actual de Beatriz es de:

30 años

Step-by-step explanation:

Planteamiento:

5e = 4b

(e+3) + (b+3) = 60

e = edad actual de José

b = edad actual de Beatriz

Desarrollo:

de la segunda ecuación del planteamiento:

e + b + 6 = 60

e + b = 60 - 6

e + b = 54

e = 54 - b

sustituyendo este último valor en la primer ecuación del planteamiento:

5(54-b) = 4b

5*54 + 5*-b = 4b

270 - 5b = 4b

270 = 4b + 5b

270 = 9b

b = 270/9

b = 30

e = 54 - b

e = 54 - 30

e = 24

Comprobación:

5e = 4b

5*24 = 4*30 = 120

3 0

3 years ago

Expand the brackets 5(2x + 3)

zimovet [89]

Answer:

10x+15

Step-by-step explanation:

5 x 2x=10x

5x3=15

5 0

3 years ago

Read 2 more answers

Rossi is planning a date with his girlfriend. He plans for them to watch a movie, go out to dinner, and then attend a sporting e

Inga [223]

Answer:

109410480 dates.

Step-by-step explanation:

We can find 555*888*222 different dates = 109410480 dates.

This is because we can find the total number of combinations between the different choices by multiplying the numbers of each different factor.

Hope this helped!

6 0

2 years ago

A laptop producing company also produces laptop batteries, and claims that the batteries

gregori [183]

Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

$H_0: \mu=4\\\\H_a:\mu< 4$

Step-by-step explanation:

The question is incomplete: To test this claim a sample or population standard deviation is needed.

We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.

NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

$H_0: \mu=4\\\\H_a:\mu< 4$

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902$

The degrees of freedom for this sample size are:

$df=n-1=500-1=499$

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t$

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours.

5 0

3 years ago