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Crank
3 years ago
13

Expand (x-4)^4 with binomial theorem or pascal's triangle SHOW ALL STEPS!

Mathematics
1 answer:
hichkok12 [17]3 years ago
6 0

Answer:

x^4 - 16x^3 + 96x^2 -256x + 256

Step-by-step explanation:

The coefficients of this using the pascal triangle is ;

1 4 6 4 1

Thus, we have that;

1(x^4•(-4)^0) + 4(x^3)(-4)^1 + 6(x^2)(-4^2) + 4(x^1)(-4)^3 + 1(x^0)(-4)^4

= x^4 - 16x^3 + 96x^2 -256x + 256

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Mark's age, x , is 6 times his age 2 years ago. which equation represents the statement?
AlekseyPX

Answer:

x = 6(x - 2)

Step-by-step explanation:

His age now is x.

His age 2 years ago was x - 2.

x = 6(x - 2)

5 0
2 years ago
When measuring distance 43 peas are approximately equal to 19 beans. How many peas are equal to 133 beans?
nikdorinn [45]

Answer:

  301

Step-by-step explanation:

Assuming the proportion holds over longer distances, the ratios can be written ...

  peas/beans = p/133 = 43/19

  p = 133(43/19) = 301

301 peas are equal to 133 beans.

4 0
2 years ago
Joel wants to buy a new tablet computer from a store having a 20% off sale on all tablets. The tablet he wants has an original c
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Answer:

A. $179.55

Step-by-step explanation:

5 0
3 years ago
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Estimate how many times larger 4 x 10^15 is than 19 x 10^12.
chubhunter [2.5K]
Whats the answer

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4 0
3 years ago
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet
Thepotemich [5.8K]

Answer:

39 feet

Step-by-step explanation:

From the question;

let length of ladder =x feet

height of ladder will be=x-3 feet

ground distance of ladder bottom to building=15 feet

Applying Pythagorean relation

a²+b²=c²

where a=15 feet b=x-3 feet and c=x feet thus

x²-15²=(x-3)²

x²-225=x²-6x+9

collect like term

x²-x²-225-9=-6x

-234= -6x

x= 39 feet length of ladder

distance from ground to top of ladder= 39-3=36 feet

3 0
3 years ago
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