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3 years ago

(x+4y+z)(x-7y) what are steps like associative, and commutative and distributive property in a polynomial expression

Mathematics

1 answer:

anzhelika [568]3 years ago

6 0

Answer:

Step-by-step explanation:

your basically multiplying everything in the first parenthesis by everything in the second parenthesis

(x + 4y + z)(x - 7y) =

x(x - 7y) + 4y(x - 7y) + z(x - 7y) =....keep in mind, 4yx is the same as 4xy

x^2 - 7xy + 4xy - 28y^2 + zx - 7zy....combine like terms

x^2 - 3xy - 28y^2 + zx - 7zy <---- your answer

this is the distributive property

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Carlita has a swimming pool in her backyard that is rectangular with a length of 26 feet and a width of 14 feet. She wants to in

meriva

Lets solve the question,

Given dimensions are:

Length = 26 feet

Width = 14 feet

concrete walkway with width = c

After installing the concrete walkway dimensions of the walkway will be,

Length = 26 + 2c

Width = 14 + 2c

She wants to build a wooden deck around the pool with a concrete walkway of width = w

Thus the dimensions of the wooden deck around the pool will be,

Length = $26 + 2c + 2w$

Width = $14 + 2c + 2w$

Now the perimeter of the wooden deck will be,

Perimeter = 2(length + width)

$= 2[(26 +2c + 2w) + 2(14 + 2c + 2w)] = 2(40 + 4c + 4w) = (80 + 8c + 8w)$

Therefore, perimeter of the wooden deck would be: 80 + 8c + 8w

Perimeter = (80 + 8c + 8w)

Learn more about Perimeter on:

brainly.com/question/397857

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6 0

1 year ago

Please help me answer Q9 in the photo!

padilas [110]

See the attached picture for explanation and steps:

4 0

3 years ago

A sofa is on sale for 73% off. The sale price is $172.80. What is the regular price?

Lapatulllka [165]

To get the answer you have to divide the sale price $172.80 by 73%.
So first you turn 73% into a decimal by moving the decimal two places to the left turning it into .73

$172.80 divided by .73 = $236.71

You can check by then multiplying $236.71 with .73

7 0

3 years ago

Read 2 more answers

The strip below is cut into 9 equal bars.<br> Shade 2/3 of this strip.

Anna35 [415]

Answer:

Shade 6 bars.

Step-by-step explanation:

You are asked to shade 2/3 of the strip. It is given that the strip has 9 equal parts. Multiply the number and fraction together:

$9 * \frac{2}{3} = \frac{9}{1} * \frac{2}{3} = \frac{9 * 2}{1 * 3} = \frac{18}{3} = 6$

You will shade 6 of the 9 bars given.

5 0

1 year ago

WILL MARK AS BRAINLIEST!!! 5. A 2011 study by The National Safety Council estimated that there are nearly 5.7 million traffic ac

Artyom0805 [142]

Answer:

Step-by-step explanation:

Hello!

Regarding the reasons that traffic accidents occur:

28% are caused by distracted drivers using cell phones or texting

11% of the drivers' user their phones at any time

The probability of a driver having an accident is 5.26%

DC = event that a randomly selected driver is using a cell phone.

P(DC)= 0.11

TA = event that a randomly selected driver has a traffic accident.

P(TA)= 0.0526

c) and f)

If both events are related, i.e. dependent, then you would expect that the occurrence of one of these events will affect the probability of the other one. If they are not related, i.e. independent events, then their probabilities will not be affected by the occurrence of one or another:

If both events are independent P(TA|DC)= P(TA)

If they are dependent, then:

P(TA|DC)≠ P(TA)

P(TA|DC)= 0.28

P(TA)= 0.0526

As you can see the probability of the driver having an accident given that he was using the cell phone is different from the probability of the driver having an accident. This means that both events are related.

d) and e)

You have to calculate the probability that "the driver was distracted with the phone given that he had an accident", symbolically P(DC|TA)

P(DC|TA) = $\frac{P(DCnTA)}{P(TA)}$

$P(TA|DC)= \frac{P(TAnDC}{P(DC)}$ ⇒ P(DC∩TA)= P(TA|DC)*P(DC)= 0.28 * 0.11= 0.0308

P(DC|TA) = $\frac{0.0308}{0.0526}= 0.585= 0.59$

I hope this helps!

3 0

3 years ago