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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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11 identical pairs of Air Jordan cost $660.What is the cost of one pair?
Crank

Answer:

$60

Step-by-step explanation:

11 identical pairs of Air Jordan cost $660.

To find the cost of one pair, you have simply to divide the total amount paid by the total number of pairs.

Total amount paid = $660

Total number of pairs = 11

The cost of one pair =\$660 : 11=\$60

6 0
3 years ago
Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid on the numbe
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10% of 40 =
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How do you draw a skew line?
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5 0
3 years ago
Use the multiplier method to decrease £262 by 39%<br>You must show your working.​
Oksanka [162]

Answer:

£159.82

Step-by-step explanation:

Decrease of 39% of £262

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0.39×262

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So the decrease will be

262-102.18

159.82

So the final answer is £159.82

6 0
3 years ago
Read 2 more answers
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