2 years ago

Write the slope-intercept form for the equation of the line through the given point with the given slope.

Mathematics

1 answer:

Svetlanka [38]2 years ago

6 0

Answer:

y = 9/2x - 4

Step-by-step explanation:

Slope: 9/2

Point: (2,5)

b = 5 - (9/2)(2)

= 5 - 9 = -4

b = - 4

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Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.

Vitek1552 [10]

Answer:d

Step-by-step explanation:

4 0

2 years ago

Identify the zeros of the function f(x) = 2x^2 − 4x + 5 using the Quadratic Formula

Nostrana [21]

For this case we have that by definition, the roots, or also called zeros, of the quadratic function are those values of x for which the expression is 0.

Then, we must find the roots of:

$2x ^ 2-4x + 5 = 0$

Where:

$a = 2\\b = -4\\c = 5$

We have to: $x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}$

Substituting we have:

$x = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (2) (5)}} {2 (2)}\\x = \frac {4 \pm \sqrt {16-40}} {4}\\x = \frac {4 \pm \sqrt {-24}} {4}$

By definition we have to:

$i ^ 2 = -1$

So:

$x = \frac {4 \pm \sqrt {24i ^ 2}} {4}\\x = \frac {4 \pm i \sqrt {24}} {4}\\x = \frac {4 \pm i \sqrt {2 ^ 2 * 6}} {4}\\x = \frac {4 \pm 2i \sqrt {6}} {4}\\x = \frac {2 \pm i \sqrt {6}} {2}$