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gtnhenbr [62]
2 years ago
6

1. What is the binomial expansion of (x + 3)5? ​

Mathematics
1 answer:
lara [203]2 years ago
4 0

Answer:

5x + 15

Step-by-step explanation:

To expand the binomial, you need to multiply each term inside the parentheses by 5.

(x + 3)5

= (x * 5) + (3 * 5)

= 5x + 15

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5/8(x-1/3)=5/12 can someone help me figure out what x is?
eimsori [14]
Solve for x:(5 (x - 1/3))/(8) = 5/12
Put each term in x - 1/3 over the common denominator 3: x - 1/3 = (3 x)/3 - 1/3:(5 (3 x)/3 - 1/3)/(8) = 5/12
(3 x)/3 - 1/3 = (3 x - 1)/3:(5 (3 x - 1)/3)/(8) = 5/12
3×8 = 24:(5 (3 x - 1))/24 = 5/12
Multiply both sides of (5 (3 x - 1))/24 = 5/12 by 24/5:(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5)/(5×12) = (24×5)/(5×12):(24×5 (3 x - 1))/(5×24) = (24×5)/(5×12)
(24×5 (3 x - 1))/(5×24) = (5×24)/(5×24)×(3 x - 1) = 3 x - 1:3 x - 1 = (24×5)/(5×12)
(24×5)/(5×12) = 5/5×24/12 = 24/12:3 x - 1 = 24/12
The gcd of 24 and 12 is 12, so 24/12 = (12×2)/(12×1) = 12/12×2 = 2:3 x - 1 = 2
Add 1 to both sides:3 x + (1 - 1) = 1 + 2
1 - 1 = 0:3 x = 2 + 1
2 + 1 = 3:3 x = 3
Divide both sides of 3 x = 3 by 3:(3 x)/3 = 3/3
3/3 = 1:x = 3/3
3/3 = 1:Answer:  x = 1
3 0
3 years ago
Simplify and Show Work or no brainlist
natali 33 [55]

Answer:

Step-by-step explanation:

and also you are diviing the numbers then subtracting 9

5 0
3 years ago
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Answer: Im pretty sure its a bar graph.

Step-by-step explanation:

8 0
3 years ago
Mrs. Reed collects shells. Each shell in her collection weighs about 4 ounces. Her collection weighs about 12 pounds in all. Abo
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Answer:

There are about 48 shells in Mrs. Reeds collection.

Step-by-step explanation:

There are 16 ounces per 1 pound.

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8 0
3 years ago
The sum of three consecutive even integers is 102. Find the largest of the three integers.
marissa [1.9K]

Answer to the question is..

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