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NARA [144]
2 years ago
6

Question: Solve the system of equations. Show or explain your reasoning.

Mathematics
1 answer:
Dovator [93]2 years ago
6 0
The answer is x=2, y= -1
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solve the following system of equations.express your answer as an ordered pair in the format (a,b) with no spaces the number or
NeTakaya

Answer:

The solution is (-2,4)

Step-by-step explanation:

We'll solve the system

2x+5y=16

-5x-2y=2

using elimination by addition and subtraction.

Let's eliminate x first.  To do this, multiply the first equation by 5 and multiply the second equation by 2.  We get:

10x + 25y = 80

-10x  -  4y   = 4

----------------------

          21y = 84.  Thus, y = 84/21 = 4.

Subbing 4 for y in the second equation, we get

-5x -2(4) = 2, or

   -8 - 2 = 5x, or

     -10  = 5x.  Thus, x = -10/5 = -2.

The solution is (-2,4)

5 0
3 years ago
20 POINTS NEED HELP
lana [24]

Answer: C

Step-by-step explanation:

7 0
4 years ago
Suppose a normally distributed set of data has a mean of 178 and a standard deviation of 20. Use the 68-95-99.7 Rule to determin
Scilla [17]

Answer:

97.7%

Step-by-step explanation:

For a score below 218 :

P(x < 218)

Standard deviation = 20 ; mean = 178

Obtian the standardized score (Zscore) :

Zscore = (x - mean) / standard deviation

Z = (218 - 178) / 20 = 40 / 20 = 2

P(x < Z) = P(Z < 2) = 0.97725 (Z probability calculator)

0.97725 * 100 = 97.725 = 97.7%

7 0
3 years ago
HELP NEEDED , YOU WILL GET 10 POINTS !
Nitella [24]

Answer:

stop cheating on your schoology test;)

Step-by-step explanation:

8 0
3 years ago
Are the set of all square numbers under 50 and the set of all triangular numbers that are less than 50 disjoint?
Alina [70]

Answer:

No, the two sets are not disjoint.

Step-by-step explanation:

Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45

Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49

They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.

7 0
4 years ago
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