MATHEMATICS HIGH SCHOOL

What is the expression in factored form?3x^2 + 18x + 24

a. 3(x+2)(x+4)
b. 3(x-2)(x+4)
c. 3(x-2)(x-4)
d. 3(x+2)(x-4)

Answers

Answer 1

Answer:

Answer:

Choice a is correct answer.

Step-by-step explanation:

Given expression is :

3x²+18x+24

We have to represent above expression in factored form.

As we have noticed that the expression contains the multiples of 3.

taking 3 as common from given expression,we get

3(x²+6x+8)

Now, spit the middle term of above expression so that the product of two terms should be 8 and their sum be 6.

3(x²+4x+2x+8)

Making two groups and taking two terms as common,we get

3(x(x+4)+2(x+4))

Taking (x+4) as common,we get

3(x+4)(x+2) which is the factored form of 3x²+18x+24.

Answer 2

Answer:

Answer:

$\boxed{a.\:\:3(x+2)(x+4)}$

Step-by-step explanation:

The given expression is

$3x^2+18x+24$

We factor 3 to obtain;

$3(x^2+6x+8)$

We split the middle term to obtain;

$3(x^2+4x+2x+8)$

$=3[x(x+4)+2(x+4)]$

We factor further to get;

$=3(x+4)(x+2)$

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The following data show the height, in inches, of 11 different plants in a garden: 9 4 10 9 5 2 22 10 3 3 5 After removing the outlier, what does the mean absolute deviation of this data set represent?

Answers

The outlier is the obviously different data among the whole group of data points. In this case, the outlier is 22. When you find the mean, you only use the data points without the outlier. Therefore,

Mean = (9+4+10+9+5+2+10+3+3+5)/10 = 6

Then, the mean absolute deviation is

∑(x-mean)^2/n, where x is every single data point and n is the number of data points which is equal to 10

|9-6|+|4-6|+|10-6|+|9-6|+|5-6|+|2-6|+|10-6|+|3-6|+|3-6|+|5-6| = 28

Then,

Mean Absolute Deviation (MAD) = 28/10 = 2.8

This is the average distance of the data from the mean.

Answer:

I took the test, it is On average, the height of a plant varies 2.8 inches from the mean of 6 inches.

Step-by-step explanation:

Approximate Square root of 498 to the nearest tenth.A.22.4

B.22.2

C.22.3

D.22.5

Answers

22.3 is the value of Square root of 498 to the nearest tenth. Option C is correct

What is Number system?

A number system is defined as a system of writing to express numbers.

An approximation is anything that is similar, but not exactly equal, to something else.

A number can be approximated by rounding.

We need to find the Square root of 498 to the nearest tenth.

square root of Four hundred ninety eight

22.315

On tenth place right side the value is one which is less than five, so the tenth position remains same.

22.3 is the value Square root of 498.

Hence 22.3 is the value Square root of 498.

To learn more on Number system click:

brainly.com/question/22046046

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The square root of 498 to the nearest 10 is 22.3

Someone please help I have a quiz Tommorow please explain how to do this

Answers

I hope this helps you

Divide 25kg in in a ratio of 2:3:5

Answers

Add the ratios.. 2+3+5 = 10

Then divide 25kg by 10 and you will get 2.5

Multiply your ratio figures by 2.5 so it would be (2.5*2) : (2.5*3) : (2.5*5)

Making your answer 5 : 7.5 : 12.5

What are the means of the following proportion 3/15 = 12/60