3 years ago

State whether the relationship between x and y in y=4x-5 is proportional or non proportional. Then graph the function.

Mathematics

1 answer:

worty [1.4K]3 years ago

7 0

Proportionalllllllllllllllllllll

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Which are the solutions of the quadratic equation? x2 = –5x – 3 –5, 0 StartFraction negative 5 minus StartRoot 13 EndRoot Over 2

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Given:

The quadratic equation is $x^{2}=-5 x-3$

We need to determine the solutions of the quadratic equation.

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Let us solve the equation to determine the value of x.

Adding both sides of the equation by 5x and 3, we get;

$x^{2}+5 x+3=0$

The solution of the equation can be determined using quadratic formula.

Thus, we get;

$x=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 1 \cdot 3}}{2 \cdot 1}$

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$x=\frac{-5 \pm \sqrt{13}}{2 }$

Thus, the two roots of the equation are $x=\frac{-5 + \sqrt{13}}{2 }$ and $x=\frac{-5- \sqrt{13}}{2 }$

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