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2 years ago

One factor of 8x^3+1 is 2x+1 The other factor is?

1 answer:

8 0

First, write 8x^3 in exponential form (8 is basically the same as 2^3)

So that you have 2^3*x^3+1

Multiply the terms with equal exponents by multiply the bases (1 is basically the same as 1^3)

So that it becomes (2x)^3+1^3

Then, using a^3+b^3 equals (a+b)(a^2-2ab+b^2), factor the expression so that it becomes
(2x+1)((2x)^2-2x+1^2)

Expand the second bracket

So the two factors are (2x+1) and (4x^2-2x+1)

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g natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that natasha i

Papessa [141]

Answer:

<h2>3,654 different ways.</h2>

Step-by-step explanation:

If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).

Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.

29C3 = 29!/(29-3)!3!

29C3 = 29!/(26!)!3!

29C3 = 29*28*27*26!/26!3*2

29C3 = 29*28*27/6

29C3 = 3,654 different ways.

This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders

5 0

2 years ago

How to find the perimeter of a parallelogram

jonny [76]

Perimeter is the sum of all the sides of the shape

do you know the length of each side of the parallelogram?

4 0

2 years ago

Read 2 more answers

Mary works in a factory that produces 1000 computers each day. When 25 computers were sampled, 7 were found to be defective. Est

harkovskaia [24]

Answer:

the correct is D. 280

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

In 2000 the number of students enrolled at Arlington County day school was 823 students in 2010 the population was approximately

RoseWind [281]

Answer:

enrollment decreases by 14.34%.

Step-by-step explanation:

Given that number of students enrolled in 2000 = 823

Given that number of students enrolled in 2010 = 705

705 is less than 823 so that means number of students enrollment is decreasing.

Decrease = 823-705 = 118

Percent decrease is given by formula:

$Percent =\frac{part}{whole}\cdot100 =\frac{118}{823}\cdot100= 14.3377885784$

which is approx 14.34%.

Hence final answer is that enrollment decreases by 14.34%

5 0

3 years ago

At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special. There are 5 c

Tju [1.3M]

Answer: 35

Step-by-step explanation:

Given : At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special.

The number of choices for sandwiches = 5

The number of choices for salad = 4

The number of choices for soup = 3

Now, the number of possible lunch special combinations can be ordered will be :-

$5\times4+5\times3=20+15=35$

Hence, the number of possible lunch special combinations can be ordered will be 35.

3 0

3 years ago