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OlgaM077 [116]
3 years ago
15

Melody is solving the equation x +12=31. Find her mistake and correct it.

Mathematics
1 answer:
nalin [4]3 years ago
7 0
The answer is x = 19
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Coefficient of x^2 in expansion of the binomial theorem (2x-1)^4 show your work
tekilochka [14]

Answer:

24

Step-by-step explanation:

If you use Pascal's triangle, which I did, you will look at the 5th row of the triangle which contains the numbers 1, 4, 6, 4, 1

If we expand using a = 2x and b = -1, then the expansion looks like this:

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

If you simplify all that down by multiplying, you'll get

16x^4-32x^3+24x^2-8x+1

If you don't know how to use Pascal's triangle, you need to learn.  It's so very cool!

4 0
3 years ago
After counting her weekly earnings, she bought a candy bar for $.45, a pen for 250 and her mom gave her 2.00. She had $5.05 left
horsena [70]

Answer:

She started with $6.00.

Step-by-step explanation:

1. This problem is meant to have you work backwards from the information given. Firstly, it is important to write all the expenses and earnings she had to her weekly earnings.

Starting Amount = ?

- $0.45 (candy bar)

- $2.50 (pen)

+ $.200 (mom)

End Total = $5.05

2. With this information, this next step will be much easier. With this process, you can now use inverse operations to undo the last few equations.

Firstly, $2.00 given by her mom will be subtracted from $5.05.

Secondly, with our new total of $3.05, $2.50 from purchasing the pen will be added to this amount. This leaves you with $5.55.

Lastly, the $0.45 cents she spent with the candy bar will be added to the $5.55.

This leaves the starting amount to $6.00.

3.  She started with $6.00

6 0
3 years ago
Read 2 more answers
Determine the point estimate of the population​ proportion, the margin of error for the following confidence​ interval, and the
PilotLPTM [1.2K]

Answer:

point of estimate p = x/n

Step-by-step explanation:

p is the point estimate for the population , x is the number of success, n is the sample size.

p = Upper bound  + Lower bond/ 2      for population proportion

x = Upper bond + Lower bond /2          for population mean

E = Upper bond - Lower bond /2          E is margin of error

4 0
3 years ago
8) The distance around a circular path is 1,000 meters.
Shtirlitz [24]

Answer:

D. 159

Step-by-step explanation:

5 0
2 years ago
Sean and Mariana started drinking their slushies at the same time and tried to drink them as fast as they could.
never [62]

Answer: what are the options?

Step-by-step explanation:

3 0
3 years ago
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