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jek_recluse [69]
3 years ago
13

Find the roots of the parabola given by the following equation 2x^2+5X-9=2x

Mathematics
1 answer:
natta225 [31]3 years ago
7 0

Answer:

x=-3\:or\:x=\frac{3}{2}

Step-by-step explanation:

The given parabola has equation

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

We rewrite in standard form to obtain:

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

2x^2+3x-9=0

Split the middle terms to get:

2x^2+6x-3x-9=0

Factor by grouping:

2x(x+3)-3(x+3)=0

(x+3)(2x-3)=0

x=-3\:or\:x=\frac{3}{2}

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7 0
3 years ago
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1. The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag a
lapo4ka [179]

Answer:

Option d :18 bags of chips and 6 jars of salsa

Step-by-step explanation:

Given :  The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.

Inequality : 2.5x+4y\leq 60

Solution :

x represents chips

y represents salsa

Option a: 10 bags of chips and 2 jars of salsa

so, x = 10 and y =2

Putting values in inequality

2.5(10)+4(2)\leq 60

25+8\leq 60

33\leq 60

Hence it is correct.

Option b : 20 bags of chips and 2 jars of salsa

so, x = 20 and y =2

Putting values in inequality

2.5(20)+4(2)\leq 60

50+8\leq 60

58\leq 60

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

2.5(14)+4(5)\leq 60

35+20\leq 60

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Option d :18 bags of chips and 6 jars of salsa

so, x = 18 and y =6

Putting values in inequality

2.5(18)+4(6)\leq 60

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4 0
3 years ago
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zlopas [31]
The way to determine this is to know that 1 foot is 12 inches (so 2 is 24) 
Now the ration that would determine the scale factor of the room is 1:24 (1 inch for every 24 inches)
So the scale factor is 1:24
Now to determine the area we multiply the numbers we have by 2 and change the inches to feet (I hope that makes sense to you, it does to me, I'll show you)
10.25 * 2 = 20.5 ft.
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now we know the dimensions of the room so we need to find the area.
A=B*H
20.5 * 16 = 328
so the area of the room is 328 ft.²
6 0
3 years ago
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