All categories

1 year ago

Written as a simplified polynomial in standard form, what is the result when (3x+6)^2

Mathematics

1 answer:

Marat540 [252]1 year ago

3 0

The simplified polynomial after standard form will be;

⇒ - 8x² - 43x - 36

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is;

''The expression (3x + 6)² is subtracted from x² - 7x.''

Now,

We can formulate as;

⇒ (x² - 7x) - (3x + 6)²

⇒ x² - 7x - (9x² + 36x + 36)

⇒ x² - 7x - 9x² - 36x - 36

⇒ - 8x² - 43x - 36

Thus, The simplified polynomial after standard form will be;

⇒ - 8x² - 43x - 36

Learn more about the expression visit:

brainly.com/question/1859113

#SPJ1

You might be interested in

18 is what percent of 42?

Fittoniya [83]

Answer:

42.86

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The transformation that can result in a figure that is NOT congruent to the original is:

ddd [48]

Dilation because the sides will not be the same size as the original

6 0

4 years ago

Read 2 more answers

Add −2/3+2 3/8 . Write your answer as a mixed number in simplest form.

d1i1m1o1n [39]

Answer:

41/24 or 1 17/24

Step-by-step explanation:

2 3/8=19/8

-2/3+19/8

-16/24+57/24

41/24

5 0

2 years ago

Read 2 more answers

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

4 years ago

g A trial jury of 6 people is selected from 20 people: 8 women and 12 men. What is the probability that the jury will have an od

cricket20 [7]

Answer: P(odd) = 0.499

Step-by-step explanation:

Given:

Total number of people = 20

Number of men = 12

Number of women = 8

Number of jury to be selected = 6

For the jury to have an odd number of women. it must have either of the three.

1. 1 woman , 5 men

2. 3 women, 3 men

3. 5 women, 1 man

The total possible ways of selecting the 6 people jury is;

N = 20C6 = 20!/6!(20-6)!

N = 38760

The possible ways of selecting;

Case 1 : 1 woman, 5 men

N1 = 8C1 × 12C5

N1 = 8 × 792 = 6336

Case 2 : 3 women , 3 men

N2 = 8C3 × 12C3

N2 = 12320

Case 3 : 5 women, 1 man

N3 = 8C5 × 12C1

N3 = 672

P(Odd) = (N1+N2+N3)/N

P(odd) = (6336+12320+672)/38760

P(odd) = 19328/38760

P(odd) = 0.499

6 0

3 years ago