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3 years ago

How do I right there fraction 4/12 in simplistic form??

Mathematics

1 answer:

harkovskaia [24]3 years ago

5 0

4/12 in simplest form would be 1/3 because 4 goes into 4, one time and 4 goes into 12, 3 times.

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What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

Binomial Series

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

1 year ago

Select the two expressions equal to the area of this figure in square centimeters.

zepelin [54]

Answer:

1.(6*4) + (18*6) + (6*4)

1.(6*10) + (6*6) + (6*10)

Step-by-step explanation:

there are two ways to break this shape into three rectangles:

1.Top right rectangle, Top left rectangle, Bottom long rectangle

2. Left rectangle, Middle square, Right rectangle.

5 0

2 years ago

Simplify 3a + 2b - 8a + b

Harlamova29_29 [7]

To simplify 3a + 2b - 8a + b, we need to combine like terms. Like terms are terms that share common variables. In this expression, the two variables are terms with a and terms with b. The terms that have a are 3a and -8a. The terms that have b are 2b and b. Now we can separate them and simplify.

(3a - 8a) + (2b + b)

-5a + 3b

6 0

3 years ago

Read 2 more answers

According tp the fundamental theorem of algebra, how many zeros does the polynomial below have? f(x)=x^3-10x^2+27x-12

prisoha [69]

The answer is 3.

The fundamental theorem of algebra says that a number of zeros of a polynomial are equal to the highest exponent on a variable.

The polynomial is f(x)=x³-10x²+27x-12
The highest exponent of a variable x is 3: x³
Therefore, the number of zeroes of the polynomial is 3.

4 0

2 years ago

Read 2 more answers

The general manager of a fast food restaurant chain must select 6 restaurants from 11 for a promotional program. How many differ

Arisa [49]

Answer:

Step-by-step explanation:

This question will be solved using the combination formula which is nCr because the order is unimportant and we need the selection.

11C6

11!/(11-6)!*6!

= 462

Therefore the manager can select the restaurant in 462 ways.