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3 years ago

Make a table of ordered pairs for the equation. y= 1/2x − 3

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Please enclose the fractional coefficient inside parentheses: y= (1/2x) − 3 for greater clarity.

Make a table of ordered pairs:

x y = (1/2)x - 3

0 -3

1 (1/2)(1) - 3 = -2 1/2

3 (1/2)(3) - 3 = -3/2

The y-intercept is the point at which x = 0, and (from the table) is -3. Plot a dark dot at (0, -3).

Now graph (3, -3/2), leaving a dark dot.

Draw a line thrugh (0, -3) and (3, -3/2).

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3 years ago

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Which of the following equations have complex roots?

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Answer:

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

$b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0$

Evaluate the discriminant of each of the given equations.

$\textsf{A.} \quad 3x^2+2=0$

$\implies a=3, \quad b=0, \quad c=2$

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$\implies 2x^2-7x+1=0$

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$\implies 3x^2-6x-1=0$

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As 48 > 0 the equation does not have complex roots.

$\textsf{D.} \quad 2x^2-1=5x$

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As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

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2 years ago

Tickets for the school concert were 3$ and 2$. If 245 tickets were sold for a total of $630, how much of each kind were sold?

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