Multiply and simplify. (x - 1)(x - 1)(x - 1) Help i need this for algebra

Solve the equation by completing the square and then solving for x. 1. x^2-6x=12 2. 2x^2-24x=-20

Paraphin [41]

Answer: (x - 3)² = 21

Step-by-step explanation:

x² - 6x + ____ = 12 + ____

↓ ↑ ↑

$\frac{-6}{2} = (-3)^{2}$

x² - 6x + 9 = 12 + 9

(x - 3)² = 21

*******************************************************

Answer: (x - 6)² = 26

Step-by-step explanation:

2x² - 24x = -20

÷2 ÷2 ÷2

x² - 12x = -10

x² - 12x + ____ = -10 + ____

↓ ↑ ↑

$\frac{-12}{2} = (-6)^{2}$

x² - 12x + 36 = -10 + 36

(x - 6)² = 26

8 0

3 years ago

Your having lunch at Taco Bell. You have your choice of a taco,burrito or Mexican pizza. You can choose between rice and beans.

tino4ka555 [31]

Let T be the taco, B the burrito, MP the mexican pizza, R the rice, and N the beans.

For the main course we can have the first three.

----- T

------ B

-------MP

Each main course comes with the two sides. So an R branch and a B branch go to each of the taco, burrito, or pizza.

-----T---------R or N.

We expand it to

--------T-----------R

---------------------N

And we repeat it for the rest.

Thus, the tree diagram is

----- T --------R

-----------------N

-----B---------R

-----------------N

----MP--------R

----------------N

5 0

3 years ago

Read 2 more answers

Several years ago, 50% of parents who had children in grades K-12 were satisfied with the quality of education the students r

galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1095, \pi = \frac{478}{1095} = 0.4365$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612$

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

5 0

3 years ago

A man is on exit 64 at 12:13 he arrived at exit 148 at1:33 was he speeding

Masteriza [31]

Depends on the speed of the road assuming 65 or faster no they were not speeding. At 60 yes they were but not by much lol

5 0

3 years ago

11.45 x 3.7 = ? (pa help)

Stels [109]

Answer:

42.365

i used a calculator

7 0

3 years ago