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nikklg [1K]
3 years ago
11

Find the equation of the quadratic function with zeros 10 and 12 and vertex at (11, -2).

Mathematics
1 answer:
Tanya [424]3 years ago
6 0

Answer:

y=2x^2-44x+240

Step-by-step explanation:

we are given a quadratic equation

Let's assume formula of vertex form of parabola as

y=a(x-h)^2+k

where vertex is (h,k)

we are given

vertex =(11,-2)

so, h=11, k=-2

now, we can plug it

y=a(x-11)^2-2

now, we are given zeros at x=10 and x=12

we know that zeros will be x=10 , y is 0

so, we can plug x=10 and y=0 and solve for 'a'

0=a(10-11)^2-2

0=a-2

a=2

now, we can plug it back

and we get

y=2(x-11)^2-2

so, we get quadratic equation as

y=2x^2-44x+240

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The ratio of the profit, material cost and production labour of an article is 5:7:13.
IRINA_888 [86]

Answer:

The cost of producing the article is -3500 (Negative cost)

Step-by-step explanation:

The given parameters are

The ratio of the profit to material cost to production labor = 5:7:13

The amount of the material cost = 840 + Labor cost

Let the total cost = X

Therefore, we have;

The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25

Therefore, the material cost = 7/25 × X

The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25

Therefore, the labor cost = 13/25 × X

However, the amount of the material cost = 840 + Labor cost, which gives;

7/25 × X = 13/25 × X + 840

7/25 × X - 13/25 × X = 840

-6/25 × X= 840

X = 840/(-6/25) = 840×(-25/6) = -3500

The cost of producing the article = -3500.

8 0
3 years ago
Y=-3/2x+2 <br>(i just need the y values for function table )<br><br>​
Liono4ka [1.6K]

Answer:

x     y

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0 = 2

2 = -1

4 = -4

4 0
3 years ago
Write 0.896146 to 2 significant figures.​
likoan [24]
The correct answer is somewhere
5 0
3 years ago
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max2010maxim [7]

Hello! I hope i’m correct!! :)

Answer:

1) 20^m

2) x^10

Step-by-step explanation:

(m^{2+3})^{4}

(m^{5})^{4}

=m^{20}

First expression: m^20

______________________________

(x^{5} )^{2}

=x^{10}

Second expression: x^10

Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ⭐️

(Sorry if this is incorrect!)

~By, BrainlyAnime~ <3

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Step-by-step explanation:

i dont know how to explain.

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2 years ago
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