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Jlenok [28]
3 years ago
11

What are the solutions to the nonlinear system of equations below? Check all that apply.

Mathematics
1 answer:
melomori [17]3 years ago
3 0
Y = 4x
x² + y² = 17

    x² + y² = 17
x² + (4x)² = 17
x² + 16x² = 17
       17x² = 17
        17      17
           x² = ±1

y = 4x
y = 4(-1)
y = -4
(x, y) = (-1, -4)

y = 4x
y = 4(1)
y = 4
(x, y) = (1, 4)

(x, y) = (±1, ±4) = (1, 4) and (-1, -4)

The answer is equal to C and D.

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One card is randomly selected from a deck of cards. Find the odds against drawing a three​
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note: this is often read as "12 to 1"

==============================================

Explanation

We have exactly four card that are labeled "3" and 52 cards total. So there are 52-4 = 48 cards that are not labeled "3".

From here you write the ratio 48:4 to indicate the odds against drawing a 3. There are 48 ways to lose, 4 ways to win. You list the number of ways to lose first when it comes to "odds against" type of problems.

Next step is to reduce the ratio 48:4 to get 12:1, note how I divided both parts by the GCF 4

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