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2 years ago

(20 POINTS)

Mathematics

1 answer:

Xelga [282]2 years ago

4 0

88 square feet and by the way your only giving 15 points step your game up

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Find the coefficient of x^4 in the expansion of (1 + 2x + 3x^3)^10?

Lesechka [4]

$(1+2x+3x^3)^{10}$

The only possible configurations of terms that contribute to generating the $x^4$ term in the expansion are given by the multinomial theorem to be

$\left(\dbinom{10}{6,4,0}(1)^6(2x)^4(3x^3)^0+\dbinom{10}{8,1,1}(1)^8(2x)^1(3x^3)^1\right)x^4$

where

$\dbinom{10}{k_1,\ldots,k_m}=\dfrac{10!}{k_1!\cdots k_m!}$

Simplifying a bit gives a coefficient of

$\dbinom{10}{6,4,0}(2)^4+\dbinom{10}{8,1,1}(2)(3)$
$16\dbinom{10}{6,4,0}+6\dbinom{10}{8,1,1}$
$16\dfrac{10!}{6!4!0!}+6\dfrac{10!}{8!1!1!}$
$16(5\times3\times2\times7)+6(10\times9)=3900$

3 0

2 years ago

You have $18 to buy peppers. Peppers cost $1.50 each. Write and solve and inequality that represents the number of peppers you c

IrinaVladis [17]

Answer:

1.50x=18

Step-by-step explanation:

you need to figure out how many you can buy, so we will put x in there and it will all equal 18, therefore heres that equal sign. so yeh.

3 0

3 years ago

Read 2 more answers

8) A total of 1456 people attended a high school football game. The cost was $5 for adults and $2.50 for students. If the

MAXImum [283]

Answer:

the answer is 762 adults and 694 students.

Step-by-step explanation:

762 x 5.00 = 3810

694 x 2.50 = 1735

now add 3810 + 1735 = 5545

8 0

2 years ago

What is 12 more than 3 times a number?

sleet_krkn [62]

Answer:

I think it's 4 times 3 is the more number for 12.

4 0

2 years ago

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Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.

Ratling [72]

Answer:

the answer is 34.

Step-by-step explanation:

the Phythagorean theorem is a^2 + b^2 = c^2.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

8 0

2 years ago