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3 years ago

Please Help! 50 points! FIRST CORRECT ANSWER GETS BRANLIEST!

Mathematics

2 answers:

maw [93]3 years ago

6 0

<h3>Your answer would be C, or $3x(x^{2} -4x+9)$ .</h3>

To factor this polynomial, take out a greatest common factor from all of the terms.

In this case, we can look at the coefficients of x and x itself separately, and then combine them at the end.

The coefficients of x are 3, -12, and 27.

The greatest common factor between these numbers would be 3, as each of those numbers are divisible by 3.

Now, looking at x, you see $x^{3}, x^{2}, x$ .

The greatest common factor between these numbers would just be x, as all of these are divisible by x.

Now, combine these factors. 3 and x are the two greatest common factors, and putting them together, you get 3x.

To finish factoring this, factor out 3x from the polynomial, and combine them.

The polynomial is $3x^{3}-12x^{2} +27x$ . To factor 3x out of them, divide each term by 3x.

$3x((3x^{3} / 3x) - (12x^{2} / 3x) + (27x / 3x))$

$3x(x^{2} - 4x + 9)$

That would be your answer, C.

Good luck!

olasank [31]3 years ago

3 0

Answer:

3x³-12x²+27x

3x( x² - 4x + 9)

So simply , (c) is the answer

You might be interested in

. upper left chamber is enlarged, the risk of heart problems is increased. The paper "Left Atrial Size Increases with Body Mass

Sonbull [250]

Answer:

Part 1

(a) 0.28434

(b) 0.43441

Part 2

(a) 0.97722

Step-by-step explanation:

There are two questions here. We'll break them into two.

Part 1.

This is a normal distribution problem healthy children having the size of their left atrial diameters normally distributed with

Mean = μ = 26.4 mm

Standard deviation = σ = 4.2 mm

a) proportion of healthy children have left atrial diameters less than 24 mm

P(x < 24)

We first normalize/standardize 24 mm

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (24 - 26.4)/4.2 = -0.57

The required probability

P(x < 24) = P(z < -0.57)

We'll use data from the normal probability table for these probabilities

P(x < 24) = P(z < -0.57) = 0.28434

b) proportion of healthy children have left atrial diameters between 25 and 30 mm

P(25 < x < 30)

We first normalize/standardize 25 mm and 30 mm

For 25 mm

z = (x - μ)/σ = (25 - 26.4)/4.2 = -0.33

For 30 mm

z = (x - μ)/σ = (30 - 26.4)/4.2 = 0.86

The required probability

P(25 < x < 30) = P(-0.33 < z < 0.86)

We'll use data from the normal probability table for these probabilities

P(25 < x < 30) = P(-0.33 < z < 0.86)

= P(z < 0.86) - P(z < -0.33)

= 0.80511 - 0.37070 = 0.43441

c) For healthy children, what is the value for which only about 20% have a larger left atrial diameter.

Let the value be x' and its z-score be z'

P(x > x') = P(z > z') = 20% = 0.20

P(z > z') = 1 - P(z ≤ z') = 0.20

P(z ≤ z') = 0.80

Using normal distribution tables

z' = 0.842

z' = (x' - μ)/σ

0.842 = (x' - 26.4)/4.2

x' = 29.9364 = 29.9 mm

Part 2

Population mean = μ = 65 mm

Population Standard deviation = σ = 5 mm

The central limit theory explains that the sampling distribution extracted from this distribution will approximate a normal distribution with

Sample mean = Population mean

¯x = μₓ = μ = 65 mm

Standard deviation of the distribution of sample means = σₓ = (σ/√n)

where n = Sample size = 100

σₓ = (5/√100) = 0.5 mm

So, probability that the sample mean distance ¯x for these 100 will be between 64 and 67 mm = P(64 < x < 67)

We first normalize/standardize 64 mm and 67 mm

For 64 mm

z = (x - μ)/σ = (64 - 65)/0.5 = -2.00

For 67 mm

z = (x - μ)/σ = (67 - 65)/0.5 = 4.00

The required probability

P(64 < x < 67) = P(-2.00 < z < 4.00)

We'll use data from the normal probability table for these probabilities

P(64 < x < 67) = P(-2.00 < z < 4.00)

= P(z < 4.00) - P(z < -2.00)

= 0.99997 - 0.02275 = 0.97722

Hope this Helps!!!

7 0

3 years ago

If the Consumer Price Index (CPI) for 1989 was 124, the rate of inflation between the base period and 1989 was _ _ _ __? 24 perc

Sliva [168]

If the CPI for 1989 was 124, the rate of the inflation between the base period and 1989 was 24%!

4 0

3 years ago

Read 2 more answers

Can someone explain this I dont understand it

IrinaVladis [17]

Y = mx + b

m is your slope AKA rate of change
b is the y intercept.

from the graph we can see that the y intercept (b) is 15. (look at the y axis and see what point the line crosses on the y, here it is 15, in-between 10 and 20)

slope is rate of change. to figure this out remember slope = rise over run:

$slope = \frac{rise}{run}$

so pick two points. how much does one point rise after the other point you picked? In the graph it rises 1 square so rise = 1

Now looking at the same two points, how far away from each other are they on the x axis? Looking at the graph they are 2 squares away from each other. so run = 2

Now plug these numbers into the rise over run formula:

$slope \: = \frac{1}{2}$

Now we have everything we need to put into our formula for a line:

$y = mx + b$
$y = \frac{1}{2} x + 18$

For number 16 you should get:

$y = \frac{1}{5} x + 3$

after you do the same steps again yourself

8 0

3 years ago

Solve 2 log x = log 64. (1 point)

Vladimir79 [104]

Answer:

Step-by-step explanation:

2log(x)=log(64)

By logarithms properties

$xlog_{a}(b)=log_{a}(b^{x} ) \\$

log(x²)=log(64)

When you have log or ln in both sites, you delete them and...

x²=64

$\sqrt[]{x^{2} } =\sqrt{64} \\x=8$

7 0

3 years ago

It takes 5 builders, 18 hours to build a wall.<br>How many minutes would it take 8 builders?

mr Goodwill [35]

It would take 135 minutes:)

7 0

3 years ago