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iogann1982 [59]
3 years ago
9

Please answer the question below ​

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0

Answer:

g

Step-by-step explanation:

The maximum value occurs at gradient 0 (the stationary point).

In f this has a value (y) of 6.

In the equation example we have to differentiate:

dg(x)/dx = -x + 4

Gradient is 0 so 4 - x = 0 so x = 4

Plug g(4)=our maximum=-(1/2)4^2 + 4(4) + 3 = -8 + 16 + 3 = 11

11 > 6 so g has greater maximum.

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Find the slope of the line that passes through the points (1, 7) and (3, 3).
Alenkasestr [34]

Answer:

Slope of the line that passes through the points (1, 7) and (3, 3) = -2

Step-by-step explanation:

Given in the question two co-ordinates,

(1, 7)

(3, 3)

here x1 = 1

        x2 = 3

        y1 = 7

        y2 = 3

Formula to use

m = \frac{y2 - y1}{x2 - x1}

   = \frac{3-7}{3-1}

   = -4/2

  = -2

7 0
3 years ago
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A man and a woman share a prize
VladimirAG [237]

Step-by-step explanation:

What type of line the picture represent

3 0
3 years ago
Can the set of lengths be the side lengths of a right triangle?
andreyandreev [35.5K]

Answer:

B. No.

Step-by-step explanation:

We have been given 3 side lengths 7 ft, 12 ft, 17 ft. We are asked to determine, whether the given set of lengths can form a right triangle or not.

We will use Pythagoras theorem to solve our given problem, which states that the square of hypotenuse of a right triangle is equal to the sum of squares of two legs of right triangle.

17^2=12^2+7^2

289=144+49

289>193

Since the sum of  squares of both legs is less than square of hypotenuse, therefore, the given set of lengths can not be the side lengths of a right triangle.

4 0
3 years ago
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A music store is receiving a shipment of Ipads. Each box comes with 12 white, 12 black and 24 grey
Mars2501 [29]

Answer:

<u>142 Grey, 83 white, 76 black</u>

Step-by-step explanation:

If you were to take 5 boxes and put 24,12,12 in each, then multiply each number by 5 you wpuld get 120 Grey, 60 white and 76 black. Then you would add what they already have 120 Grey + 22 Grey is 142 grey, 60 white + 23 white is 83 white, and 60 black + 16 black is 76 black.

3 0
3 years ago
Given sample set A= {1,2,3,4,5} how many items are in the complement of set B if set B= all numbers greater than 2? OPTIONS : 3
Ostrovityanka [42]

Answer:

2

Step-by-step explanation:

It sounds like we are pretending A is the universe.  The only numbers in our world are 1,2,3,4, and 5.

You are given B is all numbers greater than 2.

The complement of B would all the elements not listed in B.

The elements in B are 3,4, and 5, since we are looking for numbers greater than 2 in our world of numbers above.

The elements not in B are 1 and 2.

So B complement is {1,2}.

There are 2 elements in our set for B complement. The elements that were counted were just the element 1 and the element 2.

6 0
3 years ago
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