4 years ago

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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-22+(37)+21+(-9)+53

IgorLugansk [536]

15+12+53
80
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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.

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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.

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3 years ago

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Solve using pemdas 3 plus 7 times 6 divided by 3

kondor19780726 [428]

Answer:

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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3 years ago

Write the equation below in standard form: 5y = (3/4)x - 1

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I standard form 3x-20y=4

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3 years ago

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