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Len [333]
3 years ago
12

Which table shows a function that is decreasing only over the interval (-1, oo)?

Mathematics
1 answer:
ddd [48]3 years ago
7 0

Answer:

the thrid one

Step-by-step explanation:

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5.Find the roots of the parabola given by the following equation.
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Answer:

Part 5) The roots are x=-3 and x=1.5

Part 6) The solution on a number line is the shading area below of the line y=-1/3 (close circle)

Step-by-step explanation:

Part 5) Find the roots of the parabola given by the following equation

2x^{2} +5x-9=2x

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^{2}+5x-2x-9=0

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so

a=2\\b=3\\c=-9

substitute in the formula

x=\frac{-3(+/-)\sqrt{3^{2}-4(2)(-9)}} {2(2)}

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x=\frac{-3(+)9} {4}=1.5

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-3(5y-4)\geq 17

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-15y\geq 17-12

-15y\geq 5

Multiply by -1 both sides

15y\leq -5

Divide by 15 both sides

y\leq -1/3

The solution is the interval -----> (-∞, -1/3]

All  real numbers less than or equal to negative one third

The solution on a number line is the shading area below of the line y=-1/3 (close circle)

The graph in the attached figure

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