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AnnZ [28]
3 years ago
8

Which point is the best approximation of the relative maximum of the polynomial function graphed below?

Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0
I believe it would be C. (-1.8, 15)
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Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from​ B, a distance o
g100num [7]

Answer:

The value  is  k =109.6 \ miles

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

   The distance from city A to B is   AB =  467.3 miles

   The bearing from B to  C is  \theta_{BC} =  N 28.7E

   The bearing from B to  A is  \theta_{BA} =  N 60.7E

   The  bearing from A to  B is   \theta_{AB} =  S60.7W

    The  bearing from A to  C is   \theta_{AC} =  S79.1W

Generally from the diagram

     \theta_A  =  180 - 60.7 -79.1

=>  \theta_A  =  40.2 ^o

Also

     \theta_B  =  32^o

and  

      \theta_C  =  180 - (\theta_A  +\theta_B )

=>   \theta_C  =  180 - (40.2  + 32 )

=>   \theta_C  =  107.8 ^o

Generally according to Sine Rule

     \frac{BC}{sin (\theta_A)}  = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}

=>   \frac{BC}{sin (40.2)}  = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}    

So

     \frac{BC}{sin (40.2)}  = \frac{467.3 }{sin (107.8)}

=>  BC = 316.8 \ miles

Also  

    \frac{CA}{sin (32)} =  \frac{467.3 }{sin (107.8)}

    CA = 260 .1 \ miles

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct​ flight is mathematically represented as

      k = [CA +BC]  - AB

=>     k = [260 .1 +316.8]- 467.3

=>  k =109.6 \ miles

4 0
3 years ago
3. 8x + 4y<br>24 and 6x + 6y = 6​
anzhelika [568]

Answer:

x and y

Step-by-step explanation:

Variables are always the numbers that're replaced with a letter. For example, in the equation:

2t+6

t would be the variable.

Hope this helps!! <3 :)

5 0
3 years ago
Como divido 1428 entre 7 doy 28 puntos
Dmitry_Shevchenko [17]
204 branliest plssss
6 0
3 years ago
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Find the value of x if a rectangle has a perimeter of 154 cm with a length of 18 cm and a width of 2x cm
scZoUnD [109]

Answer:

X = 59

Step-by-step explanation:

2 × 59 = 118

18 + 18 + 59 + 59 = 154

8 0
3 years ago
Hot dogs come in packages of 8. hot dog buns come in packages of 12. if grace wants to have enough to serve 24 people and have n
OLga [1]
She would by 3 packages of hot dogs and 2 packages of hot dog buns. This is because 3*8 would be 24 and 12*2 is also 24. These would both be the minimum amount of packages.
5 0
3 years ago
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