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Ganezh [65]
4 years ago
13

Please help me with this question.The opposite of 4?

Mathematics
2 answers:
musickatia [10]4 years ago
8 0
The opposite of 4 is -4
lutik1710 [3]4 years ago
8 0
The opposite of 4 is negative 4 :)
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IgorLugansk [536]
15+12+53
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3 years ago
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Among all pairs of numbers (x,y) such that 3x+y=15, find the pair for which the sum of squares, x^2+y^2, is minimum. Write your
Dvinal [7]

Answer:

Minimum value occurs at (x, y) = (-5,0)

Step-by-step explanation:

Given: 3x + y =15

Rewriting this equation to Slope - Intercept form, we get:

y = -3x + 15

Squaring both sides,

$ y^2 = (-3x + 15)^2 $

$ \implies y^2 = 9x^2 - 90x + 225 $

Substituting in $ x^2 + y^2,$ we get:

$ x^2 + 9x^2 - 90x + 225 $

= $ 10x^2 - 90x + 225 $

Comparing this equation with $ ax^2 + bx + c $ we get $ a =10 $ and $ b = - 90 $.

The minimum value occurs at the axis of symmetry given by $ x = \frac{-b}{2a} $.

Therefore, x = - $ \frac{-90}{2.10} $

$ \implies x = 5 $

If x = 5, y = -3(5) + 15 = 0

Thus, the point becomes (5,0) where it is minimum.

5 0
4 years ago
Which equation represents the proportional relationship in the table
seraphim [82]
It is c=3r because 2*3 is 6 and 4*3 is 12 and it is always times 3.
5 0
3 years ago
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Solve using pemdas 3 plus 7 times 6 divided by 3
kondor19780726 [428]

Answer:

17

Step-by-step explanation:

3 + 7 * 6 / 3

PEMDAS says we multiply and add before adding and subtracting so we multiply first (going from left to right)

3 + 42 / 3

Then we divide

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6 0
3 years ago
Write the equation below in standard form:<br> 5y = (3/4)x - 1
maksim [4K]
I standard form 3x-20y=4
7 0
3 years ago
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