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3 years ago

What are the zeros of the function represented by the quadratic expression 2x^2-5x-3

1 answer:

3 0

2x2-5x-3=0

Two solutions were found :

x = -1/2 = -0.500

x = 3

Step by step solution :

Step  1  :

Equation at the end of step  1  :

(2x2 - 5x) - 3 = 0

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x2-5x-3

The first term is,  2x2  its coefficient is  2 .
The middle term is,  -5x  its coefficient is  -5 .
The last term, "the constant", is  -3

Step-1 : Multiply the coefficient of the first term by the constant   2 • -3 = -6

Step-2 : Find two factors of  -6  whose sum equals the coefficient of the middle term, which is   -5 .

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1 year ago

At 5 feet tall, Emily casts a shadow that is 8 feet long. She is standing near a tree that casts a shadow that is 28 feet long.

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Answer:

The tree is 17.5 ft tall

Step-by-step explanation:

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2 years ago

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

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Answer:

6) y = -7x +11

8) y = -1/3x -1

10) y = 5/4x -2

Step-by-step explanation:

It is convenient to start with a point-slope form of the equation.

y = m(x -h) +k . . . . . line with slope m through point (h, k)

6) m = -7, (h, k) = (2, -3)

y = -7(x -2) -3 = -7x +14 -3

y = -7x +11

8) m = -1/3, (h, k) = (-3, 0)

y = (-1/3)(x -(-3)) +0

y = -1/3x -1

10) m = 5/4, (h, k) = (4, 3)

y = 5/4(x -4) +3 = 5/4x -5 +3

y = 5/4x -2

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3 years ago