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Ber [7]
3 years ago
8

Didn’t mean to post this

Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

Answer:

lol that just means free points for me. ;)

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Expand (2x + 3)^5 using the Binomial Theorem and Pascal’s triangle. Show all steps.
kari74 [83]

Answer:

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

Step-by-step explanation:

(2x + 3)⁵

₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵

Use Pascal's triangle to find nCr.

\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵

(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

7 0
3 years ago
how many grams of a 15 percent alcohol solution should be mixed with 40 grams of a 30 percent solution to obtain a solution that
quester [9]
According to my calculations it should be 77
8 0
2 years ago
-5x +3y +6z=4<br> -3x + y + 5z=-5<br> -4x + 2y + z= 13
lozanna [386]

See the attached image for solution:

6 0
3 years ago
Read 2 more answers
Lxl=10 what is the answer
Svetradugi [14.3K]

Answer:

10

Step-by-step explanation:

The absolute value of 10 is 10. Algebraically speaking, the absolute value of a number x takes x and makes it positive.

6 0
2 years ago
What is the geometrick mean of 27 and 8 with the pothagereom theorem
enyata [817]

Answer:

x = 6√6

Step-by-step explanation:

27/x = x/8

x² = 27 × 8

x = √(27 × 8)

x = √(9 × 4 × 6)

x = 3 × 2 × √6

x = 6√6

5 0
2 years ago
Read 2 more answers
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