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3 years ago

What is the product 3a(8a-6a)

Mathematics

1 answer:

Elena-2011 [213]3 years ago

6 0

Answer:

6a^2

Step-by-step explanation:

3a(8a-6a)

=(3a)(8a+-6a)

=(3a)(8a)+(3a)(-6a)

=24a^2-18a^2

=6a^2

hope this helps :)

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Pedro and Carmela are cleaning their kitchen. It takes Pedro 3 hours to clean the kitchen by himself, while Carmela can clean th

Igoryamba

Answer:

Step-by-step explanation:

Here, we want to choose the equation representing the time it will take if they worked together

Let the amount of tasks to be done be t

pedro will work at a rate of t/3

Camela will take t/2

So the joint rate will be

t/2 + t/3

This joint rate will be equal to 1

Thus, we have

t/2 + t/3 = 1

5 0

3 years ago

What property is this? (3x+12y)+(10x-5y)

SpyIntel [72]

Answer:

Assciates Property

Step-by-step explanation:

look at the picture above

6 0

3 years ago

What is the mean absolute deviation?

Lostsunrise [7]

Answer:

0.8 cm

Step-by-step explanation:

The formula for MAD is attached in the picture.

x_i are the values (data)

x bar is the mean

n is the number of numbers (data)

For figuring out MAD, basically, we subtract the mean from each of the values respectively and take the absolute value and SUM for all of the numbers in the data set. Then we divide by n, the number of numbers.

Let's do this:

MAD = $\frac{|2-3|+|2-3|+|2-3|+|2-3|+|3-3|+|3-3|+|3-3|+|4-3|+|4-3|+|5-3|}{10}\\=\frac{1+1+1+1+0+0+0+1+1+2}{10}\\=\frac{8}{10}=0.8$

MAD is 0.8

6 0

3 years ago

Find each percent change. Round to the nearest tenth of a percent. State if it is an increase or decrease. From 46 to 89.8

Degger [83]

Answer:

78%

Step-by-step explanation:

% increase = Increase ÷ Original Number × 100

% increase= 35.8/46 *100= 77.82=78 %

3 0

3 years ago

Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value

MArishka [77]

Answer:

y = 81-x
the domain of P(x) is [0, 81]
P is maximized at (x, y) = (54, 27)

Step-by-step explanation:

Given

x plus y equals 81
x and y are non-negative

Find

P equals x squared y is maximized

Solution

a. Solve x plus y equals 81 for y.

y equals 81 minus x

b. Substitute the result from part a into the equation P equals x squared y for the variable that is to be maximized.

P equals x squared left parenthesis 81 minus x right parenthesis

c. Find the domain of the function P found in part b.

left bracket 0 comma 81 right bracket

d. Find dP/dx. Solve the equation dP/dx = 0.

P = 81x² -x³

dP/dx = 162x -3x² = 3x(54 -x) = 0

The zero product rule tells us the solutions to this equation are x=0 and x=54, the values of x that make the factors be zero. x=0 is an extraneous solution for this problem so ...

P is maximized at (x, y) = (54, 27).

7 0

3 years ago