2 years ago

Is the system of equations consistent, consistent and coincident, or inconsistent? y=3x+4y=3x+3

1 answer:

8 0

I believe the answer is consistent because the 3x repeats it self on both sides of the equal sign.
But I am not sure I am a little rusty on this

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Factor 7(x − 3)2 − 4(x − 3) − 3 completely.

Nezavi [6.7K]

$7(x-3)^2-4(x-3)-3\\\\substitute\ t=x-3,\ then\ we\ have\\\\7t^2-4t-3\\\\a=7;\ b=-4;\ c=-3\\\\\Delta=b^2-4ac\\\\\Delta=(-4)^2-4\cdot7\cdot(-3)=16+84=100\\\\t_1=\dfrac{-b-\sqrt\Delta}{2a};\ t_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\t_1=\dfrac{-(-4)-10}{2\cdot7}=\dfrac{4-10}{14}=\dfrac{-6}{14}=-\dfrac{3}{7}\\\\t_2=\dfrac{-(-4)+10}{2\cdot7}=\dfrac{4+10}{14}=\dfrac{14}{14}=1\\\\7t^2-4t-3=7\left(t+\dfrac{3}{7}\right)(t-1)=(7t+3)(t-1)\\\\=(7(x-3)+3)(x-3-1)=(7x-21+3)(x-4)\\\\=\boxed{(7x-18)(x-4)}$

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3 years ago

In care cadrane se afla graficul functiei ; f:(x)=121x

iragen [17]

Solución X = {0, 121}
espero que esto ayude

8 0

2 years ago

Write an equivalent expression for 4(3a+7)+3 (2a+5) if a=5, is the the solution to both expressions the same

Levart [38]

Alternative
4(3*5+7)+3(2*5+5)=
4(22)+3(15)=
(4*22)+(3*15)=
88+45=133

4 0

2 years ago