All categories

2 years ago

Simplify (2x-2y)(2y + 8)

Mathematics

2 answers:

Rasek [7]2 years ago

6 0

Answer:

=4xy−4y2+16x−16y

Step-by-step explanation:

(2x−2y)(2y+8)

=(2x+−2y)(2y+8)

=(2x)(2y)+(2x)(8)+(−2y)(2y)+(−2y)(8)

=4xy+16x−4y2−16y

=4xy−4y2+16x−16y

podryga [215]2 years ago

4 0

Answer:-4y^2+4xy+16x-16y

Step-by-step explanation: Hi there.

For this answer I will show you the FOIL method.

Form: (ax-by)(cy-d)

1. Multiply ax and cy

2x*2y=4xy

2. Multiply ax and d

2x*8=16x

3. Multiply by and cy

-2y*2y=-4y^2

4. Multiply by and d

-2y*8=-16y

Add all of them together and you get:

-4y^2+4xy+16x-16y

Have a nice day! :)

You might be interested in

Consider the following time series data: Month 1 2 3 4 5 6 7 Value 25 13 21 13 20 22 14 (a) Compute MSE using the most recent va

marishachu [46]

Answer:

a. MSE = 64.8

b. Forecast for month 8 is 14.

Step-by-step explanation:

$MSE = \frac{sum (error)^{2} }{n-1} \\$

where $error= value-forecast$

Using the most recent value as the forecast for the next period, we have forecasts for the months as;

(1,-) , (2,25) , (3,13) , (4,21) , (5,13) , (6,20) , (7,22)

$error$ = (-, -12, 8, -8, 7, 2, -8, -)

$error^{2}$ = (-, 144, 64, 64, 49, 4, 64, -)

$sum(error^{2} ) = 389$

$MSE = \frac{389}{7-1} = 64.833333$

Therefore, MSE = 64.8 (1 decimal place).

The Forecast for month 8 is 14 since we are using the most recent value as the forecast for the next period.

8 0

3 years ago

Read 2 more answers

Hi does anyone know the answer

damaskus [11]

Answer:

3.7

Step-by-step explanation:

3 0

3 years ago

Which of the five measures of center (the mean, the median, the trimmed mean, the weighted mean, and the mode) can be calculated

nalin [4]

The mean and median can be calculated for quantitative data only.

4 0

3 years ago

The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence

vredina [299]

Answer: The 3rd number in the sequence is 29.

Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’

With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.

The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.

Therefore we can now write our consecutive odd numbers as follows;

x + (x + 2) + (x + 4) + (x + 6) + (x + 8)

Remember that all the numbers add up to 145. Therefore,

x + x + 2 + x +4 + x + 6 + x + 8 = 145

5x + 20 = 145

Subtract 20 from both sides of the equation

5x = 125

Divide both sides of the equation by 5

x = 25.

The first odd number is 25, which means the 3rd odd number is 25 + 4.

Therefore the 3rd odd number is 29.

5 0

3 years ago

The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.2 grams with a standard deviat

Sophie [7]

Answer:

12.1%

Step-by-step explanation:

Given that:

Mean (μ) = 20.2 grams and standard deviation (σ) = 0.18 grams.

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean. A positive z score means that the raw score is above the mean and a negative z score means that the raw score is below the mean. It is given by:

$z=\frac{x-\mu}{\sigma}$

a) For x < 19.99 g:

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{19.99-20.2}{0.18} \\\\z=-1.17$

From the normal distribution table, P(x < 19.99) = P(z < -1.17) = 0.1210 = 12.1%

The probability that a randomly chosen mouse has a mass of less than 19.99 grams is 12.1%

6 0

3 years ago