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sesenic [268]
3 years ago
15

Show all work to solve 3x^2 – 5x – 2 = 0.

Mathematics
2 answers:
scZoUnD [109]3 years ago
4 0

Answer:

I hope it will help

avanturin [10]3 years ago
3 0

Answer:

Step-by-step explanation:

3x2−5x−2=0

For this equation: a=3, b=-5, c=-2

3x2+−5x+−2=0

Step 1: Use quadratic formula with a=3, b=-5, c=-2.

x= (−b±√b2−4ac )2a

x= (−(−5)±√(−5)2−4(3)(−2) )/2(3)

x= (5±√49 )/6

x=2 or x= −1 /3

Answer:

x=2 or x= −1/ 3

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A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides is to be made of material t
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Answer:

The short side is _15___ft and the long side is ___30___ ft.

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As fence is built in a rectangular area, so we can consider

Let

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Given area of rectangle is = 450 ft²

Formula for area of rectangle = Length x width  

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Solve for y

y = 450/x            

now according to given condition  

three sides of the fence costs $5 per foot and for the fourth side costs$15 per foot.

We have two condition either the fourth side be x or y

So condition 1:  Three sides =(x,y,x)       4-th side = y.

So  we can write as 5x,5y,5x  and  15 y  

Cost C = 5x +5y+5x+15y

         = 10x+ 5y+15y

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        = 10x + 20(450/x)

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cost C= 5(2x+y) +15y----------------equation 1

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X= 30 y =15

So condition 2:  Three sides =(y,x,y)       4-th side = x.

So  we can write as 5y,5x,5y  and  15 x

Cost C = 5y +5x+5y+15x

         = 5x+ 10y+15x

         = 5(x+2y) +15x----------------equation 2

           = 20x +10y

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        = 20x + 10(450/x)

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 0 = 20x + 4500/x

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y= 30 x=15

so from both conditions satisfy the cost and the two sides are known as length and width

so dimension will be 15 ft by 30 ft  

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