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Sindrei [870]
3 years ago
8

What is the maximum number of possible solutions for the system shown below?

Mathematics
2 answers:
Fudgin [204]3 years ago
8 0

Answer:

2

Step-by-step explanation:

The first equation is that of a an ellipse. The second equation is that of a line.

Attached is the graphs of both of these equations.

<em>If you think about it, there can only be 2 possible ways of solutions (intersection points) of an ellipse and a line.</em>

<em>1. The line will not intersect the ellipse at all, so no solution</em>

<em>2. The line will intersect the ellipse at 2 points maximum</em>

<em />

So, we can clearly see from the reasoning that the maximum number of possible solutions would be 2. The graph attached confirms this as well.

romanna [79]3 years ago
3 0

Answer:

The maximum number of solutions that the system can have are 2

Step-by-step explanation:

We have a system of equations composed of an ellipse of equation x ^ 2 + 4y ^ 2 = 64 and a line of equation x + y = 5.

The solution to the system of equations gives information about when the values of both equations coincide. In other words, the solutions of the system of equations give information about the number of times that the line x + y = 5. touch or intercept the graph of the ellipse x ^ 2 + 4y ^ 2 = 64

Graphically you can verify that a line can only touch an ellipse once or can intercept an ellipse a maximum of two times, or never touch it

Therefore, the maximum number of solutions that the system can have are 2.

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skad [1K]

Answer:

  70 -20x = 60 -15x

Step-by-step explanation:

The amount of money left on Josh's card is ...

  70 -20x

The amount of money left on Jessica's card is ...

  60 -15x

These amounts are the same when ...

  70 -20x = 60 -15x

_____

<em>Additional comment</em>

The solution to this equation is ...

  10 = 5x   ⇒   x = 2 . . same amount after purchase of 2 pizzas

3 0
2 years ago
A square + b square + c square equal to ab+ba+ca show that <br><br>​
Evgen [1.6K]

Answer:

a² + b² + c² ≠ ab + bc + ca

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5 0
3 years ago
The standard deviation of a sample taken from population A is 17.6 for a sample of 25.
lawyer [7]

Answer:

The standard deviation of the sample mean differences is _5.23_

Step-by-step explanation:

We have a sample of a population A and a sample of a population B.

For the sample of population A, the standard deviation \sigma_A is

\sigma_A = 17.6

The sample size n_A is:

n_A = 25.

For the sample of population B, the standard deviation \sigma_B is

\sigma_B = 21.2

The sample size n_B is:

n_B = 30.

Then the standard deviation for the difference of means has the following form:

\sigma=\sqrt{\frac{\sigma_A^2}{n_A}+\frac{\sigma_B^2}{n_B}}

Finally

\sigma=\sqrt{\frac{17.6^2}{25}+\frac{21.2^2}{30}}\\\\\sigma= 5.23

7 0
3 years ago
What is the slope of the line that passes through the points (1, -6) and (-2, –8)?
Sloan [31]

Answer:

Where the line is going

Step-by-step explanation:

Put attention next time

Ps. Just check if its on x or on the y

7 0
2 years ago
-2x+3y=-13 and 3x-3y=12
Tresset [83]

Answer:

x = -1 ,y = -5

Step-by-step explanation:

--> -2x + 3y +3x-3y = 12-13

--> x= -1

then

--> -2(-1) +3y =-13

--> 2+3y= -13

--> 3y = -15

--> y =-15/3

--> y = -5

3 0
3 years ago
Read 2 more answers
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