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2 years ago

An electronics store is having a 25% off sale on all gaming systems. The

Mathematics

1 answer:

kupik [55]2 years ago

5 0

Answer:

x - 0.25x

Step-by-step explanation:

x - 25% of x

x - 0.25x

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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

Help, thank you!

kaheart [24]

Answer:

√357

Step-by-step explanation:

multiply all three numbers together and since 357 cannot be simplified it stays as a radical

8 0

2 years ago

Plz help !!!!!!!!1

rosijanka [135]

Answer:

As outdoor temperatures increased, residents' electric bills increased.

Step-by-step explanation:

7 0

2 years ago

Factor completely. If a polynomial is prime, state this -9+18x²+21x

grin007 [14]

Factoring completely you get: 3(3x-1)(2x+3)

3 0

2 years ago

Help me , this is my homework (Geometry) . I really need help

klemol [59]

8. Similar parts

$\dfrac{6}{18} = \dfrac{AQ}{12}$

$AQ = 12(6)/18=12/3=4$

Choice a

9. The Law of Sines says a:b:c and $\sin A : \sin B \sin C$ are the same ratio.

The sines will go in order for acute angles, we have to convert 120 to its supplement 60 and then the order is 29,31,"60" or opposite sides JK, KL, JL

choice b

10.

DEF and FEG are supplments, FEG=180-DEF=180-114=66

DEF and HEG are opposite angles, so congruent HEG=DEF=114

chioce a

6 0

2 years ago