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AleksandrR [38]
3 years ago
5

PLEASE HELP ME SO I CAN GRADUATE!!!!!

Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0

Answer:

A: -41/9

Step-by-step explanation:

Substitute the point (4, -5) and slope -1/9 into the equation y = mx + b.

-5 = -1/9(4) + b

-5 = -4/9 + b

Solve for b:

b = -41/9

Our equation: y = -1/9(x) - 41/9

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Solve 5x 2 - 7x + 2 = 0 by completing the square. What are the solutions?
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Answer:

x=\frac{2}{5} or x=1

Step-by-step explanation:

The given quadratic equation is

5x^2-7x+2=0

Group the constant terms on the right hand side.

5x^2-7x=0-2

5x^2-7x=-2

Divide through by 5.

x^2-\frac{7}{5}x=-\frac{2}{5}

Add the square of half the coefficient of x., which is (\frac{1}{2}\times- \frac{7}{5})^2=\frac{49}{100} to both sides of the equation.

x^2-\frac{7}{5}x+\frac{49}{100}=-\frac{2}{5}+\frac{49}{100}

The left hand side is now a perfect square.

(x-\frac{7}{10})^2=\frac{9}{100}

Take the square root of both sides;

(x-\frac{7}{10})=\pm \sqrt{\frac{9}{100}}

x-\frac{7}{10}=\pm \frac{3}{10}

x=\frac{7}{10}\pm \frac{3}{10}

x=\frac{7-3}{10} or x=\frac{7+3}{10}

x=\frac{4}{10} or x=\frac{10}{10}

x=1 or x=\frac{2}{5}

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