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Sever21 [200]
3 years ago
11

WILL MARK BRANL:IEST NO FAKE ANSWERS I NEED ASAP

Mathematics
1 answer:
kirill [66]3 years ago
5 0

Answer:

(-5, 9)

Step-by-step explanation:

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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
Michelle buys a rug for $36 and sells it for $90. What was the value of her markup, expressed as a percent?
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Her markup was about 60%.
4 0
3 years ago
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The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the
iragen [17]

Answer:

B.) 27ft

Step-by-step explanation:

The labeled points given: (5,18) and (1.5, 7.5)

Slope = (18 - 7.5)/(5-1.5) = 10.5 / 3.5 = 3

A linear model:

y - 18 = 3(x - 5)

y - 18 = 3x - 15

y = 3x + 3

If x = 8 seconds then the distance in feet (y) would be: (plug in x = 8 into the equation y = 3x + 3)

y = 3(8) + 3

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y = 27 ft

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B.) 27ft

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stepladder [879]
The answer would be -15
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3 years ago
i am using my big brothers acount. i need help johnny got 10 apples and he had 10 dollars now he dosent have money. did he spend
Oxana [17]

Answer:

Yes. He spent 10 dollars.

Step-by-step explanation:

If he bought 10 apples, and he had 10 dollars, he would have no money left because each apple was 1 dollar.

hope this helps!

4 0
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