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mafiozo [28]
3 years ago
11

Convert the quadratic equation, f (x) = 2(x - 3)2 +1, into standard form.​

Mathematics
1 answer:
laiz [17]3 years ago
8 0

Step-by-step explanation:

........4x-y=11........

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9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of
Kamila [148]

Answer:

<em>The cost price of the article was Nu 1,000</em>

<em>The original selling price was Nu 1,120</em>

<em>The second selling price was Nu 1,200</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = Original selling price of the article

y = Cost of the article

The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:

0.12y = Original profit

Setting up the equation, we have:

x-y=0.12y

The second condition states the selling price is 80 Nu more than before, that is:

x+80= Second selling price of the article

y = Cost of the article (it doesn't change)

The profit of this condition is 20%, thus:

0.2y = Second profit

This produces a second equation:

x+80-y=0.2y

Let's put both equations together to form a system of equations:

x-y=0.12y

x+80-y=0.2y

Operating on both equations:

x=1.12y

x=1.2y-80

Equating both equations, we have an equation with only y's:

1.12y=1.2y-80

Subtracting 1.2y on each side:

1.12y-1.2y=-80

Operating:

-0.08y=-80

Solving:

\displaystyle y=\frac{-80}{-0.08}=1,000

a)

The cost price of the article was Nu 1,000

b) The selling price of the article will be calculated in both cases:

Original selling price: x=1.12y= 1.12*1000=1,120

The original selling price was Nu 1,120

The second selling price was x+80=1,200

The second selling price was Nu 1,200

8 0
3 years ago
A skatepark has an area of 6000ft2, a length of 60 ft and an unknown width, find the width of the skatepark
aliya0001 [1]

Answer:

The width of the skatepark is 100ft^2.

Step-by-step explanation:

Total area= 6000ft^2

The Formula for area= L x W (depends on the shape, but in this case that is the formula)

Length= 60 ft

Width = 100

60 x 100= 6000ft^2

Hope this helped!

4 0
2 years ago
Which set of data does not have a mode?
Y_Kistochka [10]

Answer:

FIRST ONE

Step-by-step explanation:

NO NUMBER REPEATS ITSELF

4 0
3 years ago
Read 2 more answers
Simplify: x^5. X-^5?
WARRIOR [948]

Answer:

i believe the answer you are looking for is 1?

Step-by-step explanation:

7 0
3 years ago
Who answered Stacey's question correctly, Krista or Kevin? Based on the proportional relationship given, how much money will Sta
mariarad [96]

Answer:

Kristina will!

Step-by-step explanation:

Both Krista and Kevin found the right answer to Stacey’s question. Stacey will invest $108 in company A if she invests $24 in company B.

7 0
3 years ago
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