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zubka84 [21]
3 years ago
10

7x²+3y²-28x-12y=-19

Mathematics
1 answer:
grigory [225]3 years ago
4 0
Complete the square for x and y.

7x^2 + 3y^2 - 28x - 12y = -19

7x^2 - 28x + 3y^2 - 12y = -19

7(x^2 - 4x) + 3(y^2 - 4y) = -19

7(x^2 - 4x + 4) + 3(y^2 - 4y + 4) = -19 + 28 + 12

7(x - 2)^2 + 3(y - 2)^2 = 21

\dfrac{(x - 2)^2}{3} + \dfrac{(y - 2)^2}{7} = 1
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skad [1K]

With the information given, we deduce that the parabola is

y=-(x-3)^2+4 = -(x^2-6x+9)+4 = -x^2+6x-5

Reflecting a function over the x axis means to change its sign. After the reflection, the parabola becomes

y=x^2-6x+5

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|x+2|\mapsto -|x+2|\mapsto -|x+2|+3

In order to compute the y intercept, we simply have to evaluate the functions at x=0: for the parabola we have

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8 0
4 years ago
Sally knows the number of hours worked per week for five of the her employees is
steposvetlana [31]

sixth person work per week=47 hours

Average:

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set

Given :

the number of hours worked per week for five of her employees is

30, 30, 38, 35, and 30.

the average work of 6 employees is  35 hours per week

Solution :

Let, Total work per week= S

sixth person work per week=x

Total work per week= Number of people x average working hour

S= 35(6) = 210..(1)

S = 30+30+38+35+30+x

S= 163+x..(2)

By equation 1 and equation 2

210= 163+x

210-163=x

47=x

sixth person work per week=47 hours

More details:brainly.com/question/2906096

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2 years ago
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C is the correct answer
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A store buys a 12 lb turkey for $15. They want to make a 35% profit on the sale/price of the turkey.
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Answer:

p:20

p:25

Step-by-step explanation:

8 0
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