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2 years ago

What is a correct expansion of (4x+1)(2x^2-2)

Mathematics

2 answers:

kirill115 [55]2 years ago

4 0

Answer: B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)

Step-by-step explanation: Hope this help :D

nikitadnepr [17]2 years ago

4 0

Answer:

A. 4x * 2x^2 + 4x * (-2) + 1 * 2x^2 + 1 * (-2)

Step-by-step explanation:

We have the binomial (4x + 1)(2x^2 - 2) and are asked to see how it looks like expanded.

When solving binomials, we need to follow the FOIL method :

First - First number in first parenthesis multiplied by first number in second parenthesis

Outer - First number in first parenthesis multiplied by second number in second parenthesis

Inner - Second number in first parenthesis multiplied by first number in second parenthesis

Last - Second number in first parenthesis multiplied by second number in second parenthesis

If we follow the definitions given, we can find our correct answer and also see where all the other answers mess up at :

A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)

This follows FOIL entirely from start to finish.

B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)

This did not follow the Inner part of FOIL.

C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)

This did not follow the Outer part of FOIL.

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The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with

Paraphin [41]

Answer:

a.) $N(x) = N_{0} e^{bx}$

b.) therefore b = $\ln \frac{2142}{2100} = \ln (1.02) = 0.0198$

b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

so we can write $N_{0}$ = 2100.

a.) so we can write the equation as an exponential function given by

$N(x) = N_{0} e^{bx}$ where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

therefore 2142 = 2100 $\times (e^{b\times 1})$ = 2100 $e^{b}$

b.) therefore b = $\ln \frac{2142}{2100} = \ln (1.02) = 0.0198$

b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

5000 = 2100 $e^{0.0198x}$

therefore x = $\frac{1}{0.0198} \ln{(\frac{5000}{2100} )} = 43.81 \hspace{0.1cm}months$

The club will not be able to get more than 5000 members during its first year.

7 0

2 years ago

(9,-1); m=4/3 write an equation in point slope form for the line through the given point with the given slope

madreJ [45]

For this problem you are going to need to know the point-slope equation which is:
y-y₁=m(x-x₁)

Now, m=slope and the x and y values are given to us already, so now we just plug our variables into the formula.

It should look like this: $y+1= \frac{4}{3}(x-9)$
Since all they are asking for is for you to put it into a formula this will be your answer.

8 0

2 years ago

In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. T

lawyer [7]

Answer:

242, 900 people

Step-by-step explanation:

To begin, it says that the population grew by 5%.

(241000)(1.00 + 0.05) = <em>population of the city in 2015</em>

(241000)(1.05) = 253050

253050 is the population of the city in 2015. From 2015 to 2020 it fell four percent.

(253050)(1.00 - 0.04) = <em>population of the city in 2020</em>

(253050)(0.96) = 242928

242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.

Therefore, the answer would be 242, 900 people.

4 0

2 years ago

The quotient of a number and 3 is 8

ahrayia [7]

Answer:

number = 24

Step-by-step explanation:

3 x 8 = 24

24 / 3 = 8

4 0

3 years ago

A parallelogram has a base length of 9.3 inches and an area of 56.73 squared inches. Find the height of the parallelogram.

Studentka2010 [4]

Answer:

the answer is 6.1

Step-by-step explanation:

h= A over B (means you divide) and you get 6.1

7 0

2 years ago

Read 2 more answers