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2 years ago

Factoring polynomials HELP please step by step for extra points!

1 answer:

8 0

First you multiply the last term by the first term (3h+16h+15). Then find numbers that add to 16 and multiply to 15 then add or subtract it from (3h+15)(3h+1). Then factor if possible (h+5)(3h+1)

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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:

<u>Binomial Series</u>

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

<u>Factorial</u> 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

A stadium already has 250 people in it at noon.If 35 people per minute enter the stadium,how many are in the stadium at 1:30 p.M

Talja [164]

12:00 to 1:30 , that is 90 minutes
if 35 people enter each minute then it should be multiplied by the number of minutes
that being said, 90 x 35 = 3,150 people are in the stadium at 1:30

3 0

2 years ago

Fill in the other coordinate for the line 7x - 5y = 21: (4, )

garri49 [273]

7x - 5y = 21....(4,?)...so sub in 4 for x and solve for y
7(4) - 5y = 21
28 - 5y = 21
-5y = 21 - 28
-5y = - 7
y = 7/5

check..
7(4) - 5(7/5) = 21
28 - 35/5 = 21
28 - 7 = 21
21 = 21 (correct)

the other coordinate is 7/5......(4,7/5)

8 0

2 years ago

I need help please

Zina [86]

Answer:

Its out of A and C srry couldn't help much

8 0

2 years ago

Bre works 12 hour shifts 3 days a week and makes $25.64 per hour. How much does Bre make in 1 week?

Alona [7]

Answer:

923.04 $

Step-by-step explanation:

1 hour: 25.64 $

36 hour: x

x=36×25.64

x=923.04$

8 0

2 years ago

Read 2 more answers