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3 years ago

Which is the product of (1 +41+3x) (2 - 7x–9x)?

Mathematics

1 answer:

Andrews [41]3 years ago

6 0

Answer:

-48x^2 -666x+84

Step-by-step explanation:

Exponet is ^2.

Multiply is •

Use Distributed Property. Multiply the second parathesis by each term from the first parathesis.

Any expression multiplied by 1 remains the same. Distribute 41 through the parathesis. 41(2-7x-9x).

Distribute 3x through the parathesis 3x • (2-7x-9x).

You will have these numbers left: (Slide 2)

Add the numbers, 2 and 82 to get 84. Add -7x -9x + -287x -369x + 6x to get -666x. Add -21x^2 - 27x^2 to get 48x^2.

Use the communitative property to reorder the terms. And then your answer is -48x^2 -666x+84.

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Factor completely. 8y^2 - 26y + 15 (4y - 3)(2y - 5) (2y - 3)(4y - 5) 2(2y - 3)(2y - 5)

Zarrin [17]

8y^2 - 26y + 15

= (4y - 3)(2y - 5)

Hope it helps.

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3 years ago

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The population of a certain species of fish in a lake has a relative growth rate of 1-2%. It is estimated the population in the

hichkok12 [17]

Answer:

Fish Population The population of a certain species of fish has a relative growth rate of 1.2 %per year. It is estimated that the population in 2000 was 12 million. (a) Find an exponential model for the population tyears after 2000 . (b) Estimate the fish population in the year 2005 (c) Sketch a graph of the fish population.

Step-by-step explanation:

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3 years ago

The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price. If a 7.5% sales tax wer

Novay_Z [31]

Answer:

The correct answer is 149.00.

Step-by-step explanation:

Part = Percent • Whole

Adding a 65% markup to the original price of 105 is simply multiplying the price by the decimal form of the markup, then adding that to the original price. Next, you would find 20% of your sum by multiplying the sum by 0.20. Then you would find 7.5% of that and add this to the price.

Solve:

105 • 0.65 = 68.25 Find 65% of 105

105 + 68.25 = 173.25 Add the markup to the price

173.25 • 0.20 = 34.65 Find the discount of the new price

173.25 - 34.65 = 138.60 Subtract discount from price

138.60 • 0.075 = 10.395 Find sales tax of new price (Or round to 10.40)

138.60 + 10.395 = 148.995 Add sales tax to new price (Or 149)

Because money only goes to the hundredths place, we can either start rounding to that place in the second to last step - rounding 10.395 to 10.40 - or we can round our answer - 148.995 rounds to 149. Either way, we will still get an answer of $149.00.

Hope this helps.

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3 years ago

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Given the following perfect square trinomial, fill in the missing term 4x2 + ___x + 49

Arisa [49]

Answer:

wheres the square trinomail

Step-by-step explanation:

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3 years ago

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Write the null and alternative hypotheses in words and then symbols for each of the following situations.

Marrrta [24]

Answer:

A) the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p^ = 0.5

Alternative hypothesis; Ha: p^ > 0.5

B) Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

Step-by-step explanation:

A) We are told that they sampled 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Thus, there will be a 50% chance of success for their grades to have improved and a 50% chance for it to remain the same.

Thus; p^ = 0.5

So the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p = 0.5

Alternative hypothesis; Ha: p > 0.5

B) We are told that they estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc

Also, They also collect data on how much company time employees spend on such non-business activities during March Madness.

The hypotheses in words and symbols are;

Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

6 0

3 years ago

Which is the product of (1 +41+3x) (2 - 7x–9x)?​

Which is the product of (1 +41+3x) (2 - 7x–9x)?