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rewona [7]
2 years ago
15

1. Multiply 5x by (3x+2) *​

Mathematics
1 answer:
Umnica [9.8K]2 years ago
7 0

Answer:

5x (3x +2)

15x² + 10X

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Help asap >3
VladimirAG [237]

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Step-by-step explanation:

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2 years ago
Find the area of the polygon with the given vertices. J(-3,4), K(4,4), L(3,-3)
Margarita [4]

Answer:

<h2>             A = 24.5 square units</h2>

Step-by-step explanation:

J(-3,\,4)\ \ \implies\ y_J=4\\\\K(4,\,4)\ \ \implies\ y_K=4\\\\y_K=y_J\ \ \implies\ JK\parallel X{-}axis\ \implies\ H=|y_L-y_K|\quad\ \{for\ JK=base\}\\\\H=|-3-4|=|-7|=7\\\\\\ JK\parallel X{-}axis\ \implies\ B=JK=|x_J-x_K|=|-3-4|=7\\\\\\A=\frac12BH\\\\A=\frac12\cdot7\cdot7=24.5

                     

3 0
3 years ago
Which statement best describes how the author of “The Train to Somewhere” alters historical details to tell her story?
Svetradugi [14.3K]

Answer:

The statement that best describes how the author of "The Train to Somewhere" alters historical details to tell her story is option B;

B. The author describes the experiences and feelings of an imaginary orphan who was sent west on an orphan train

Step-by-step explanation:

The author included the experiences of one of the children who according to the historical details in the historical account of the Orphan Train Riders were aided by the minister, Charles Loring Brace, to be taken from the New York City streets on the East to other states and Canada to the West

The child, a 5 year old girl, who had lost both parents had been living on the street with her brother for some months

The author also highlighted the taught by the child, of being separated from her brother at one of the destination towns of the train, and the manifestation of the beliefs of the minister, Brace, of the children finding loving families that would help them become productive members of society.

6 0
3 years ago
a boutique handmade umbrella factory currently sells 22500 umbrellas per year at a cost of 9 dollars each. in the previous year
Natasha2012 [34]

Answer:

The revenue will be maximum when the price of each umbrella will be $12.

Step-by-step explanation:

Let the number of umbrellas sold n(c) is a linear function of the cost of each umbrella (c, say).

And the relation is n(c) = xc + y ......... (1)

Now, at c = 9 dollars, n(9) = 22500 and at c = 16 dollars, n(16) = 12000

Hence, from the equation (1) we get  

22500 = 9x + y ........ (2) and  

12000 = 16x + y .......... (3)

Hence, from equations (2) and (3) we get (16x - 9x) = -10500

⇒ 7x = -10500

⇒ x = -1500

Now, from equation (2), we get 22500 = 9 × (-1500) + y

⇒ y = 36000

Therefore, the relation is n(c) = - 1500c + 36000

Now, the revenue will be given by R = n(c) × c =  - 1500c² + 36000c

Condition for maximum revenue is \frac{dR}{dc} = 0 = -3000c + 36000

⇒ c = 12 dollars.

Therefore, the revenue will be maximum when the price of each umbrella will be $12. (Answer)

8 0
3 years ago
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