3 years ago

Multiply out the brackets and simplify: 3(x-2)-4(2x-3)

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

Answer:

-5x+6

Step-by-step explanation:

3(x-2) = 3x-6

-4(2x-3) = -8x+12

(3x-6) + (-8x+12) = -5x+6

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Answer:

Neither they get the same amount

Step-by-step explanation:

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3 years ago

Find the vertex of the parabola.<br> x² + y - 6x + 10 = 0

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Find the Vertex Form

y = -(x-3)^2-1

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3 years ago

Solve the equation -5 - ____ = 25

soldier1979 [14.2K]

-5 - x = 25

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-x=-20

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3 years ago

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The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.

slamgirl [31]

Answer:

$b=-6\\c=7$

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

$y=a(x-x_1)(x-x_2)$

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

$a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}$

substitute

$y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))$

Applying the distributive property convert to expanded form

$y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})$

$y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)$

$y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7$

$y=x^2-6x+7$

therefore

$b=-6\\c=7$

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3 years ago

What is the distance between...

ss7ja [257]

what do you mean ¨ what is the distance between¨ what is the rest of the question?

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3 years ago