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laiz [17]
1 year ago
8

Expand (x – 4)^5 using the Binomial Theorem and Pascal’s triangle

Mathematics
1 answer:
worty [1.4K]1 year ago
7 0

5th \: row = 1 \:  \: \:  5 \: \:   \: 10 \:  \:  \: 10 \:  \: \:  5 \: \:   \: 1

(x - 4) {}^{5}  = x {}^{5}  + 5x {}^{4} ( - 4) {}^{1}  + 10x {}^{3} ( - 4) {}^{2}  + 10x {}^{2} ( - 4) {}^{3}  + 5x( - 4) {}^{4}  + ( - 4) {}^{5}

(x - 4)  {}^{5}  = x {}^{5}  - 20x {}^{4}  + 160x {}^{3}  - 640x {}^{2}  + 1280x  - 1024

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Find the average of the following salaries:<br> $38,750.00, $42,500.00, $44,500.00
sertanlavr [38]
To find the average you add all three numbers together and then divide by three since you added three.
$38,750.00 + $42,500.00 + $42,500.00 = $123,750.00
$123,750.00 ÷ 3 = $41,250
So your answer is $41,250

4 0
3 years ago
Help me please explain on how to do this
Leviafan [203]

Answer:

Easy

Step-by-step explanation:

To find the perimeter, add all the sides together.

12+16+20=48

To find the area, you multiply the sides that make the right angle of the triangle,

12×16=192

And divide it by two. This step is important as if you don't divide it by two, you will end up with the area of a square.

192÷2=96

Finito. Oh and don't forget to add units.

Cm for perimeter and Cm(squared) for area. :)

7 0
2 years ago
PLS HELP ME
s2008m [1.1K]
The students on the right hand side had better overall results

There were less people on the left hand side of the room this affects the average even with the right hand side having two zeros, another thing which the left hand side didn’t have.

Hope I helped
3 0
2 years ago
Given the diagram shown below which of the following best represents the distance from the school to the library?
Amanda [17]
To answer this question, we will use the sine law which is illustrated in the attached image.

We are given that:
The distance from school to library = a
∠A = 32
∠B = 110
b = 2.2

Substitute with the givens in the relation of the sine law to get a as follows:
(sin 32) / (a) = (sin 110) / (2.2)
a = (2.2 sin 32) / (sin 110)
distance from school to library = a = 1.2406 mi

Based on the above calculations, the best choice would be:
B. 1.2 mi

4 0
3 years ago
Read 2 more answers
Expand and simplify x(x − 3)(x + 5)
konstantin123 [22]

Answer: x³+2x²-15x

Step-by-step explanation:

1. Expand

(x²-3x)(x+5)

2. Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd

x³+5x²−3x²−15x

3. Collect like terms

x³+(5x²−3x​²)−15x

4. Simplify

x³+2x²-15x

Hope this helps, have a BLESSED and wonderful day! ;-)

6 0
2 years ago
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