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jeka57 [31]
3 years ago
14

Consider the function y = cos (x + pi/6). Which of the following is true?

Mathematics
2 answers:
max2010maxim [7]3 years ago
7 0
The answer would be A. There is a phase shift to the left. Because you are adding pi/6.
kumpel [21]3 years ago
5 0

Answer with explanation:

To Answer this question,

→→We will look at the graph and observe the function carefully

     y = cos x

It has domain equal to [\frac{-\pi}{2}, \frac{-\pi}{2}]

and Range equal to , [-1, 1].

On , Y axis it takes maximum value =1 at , x=0 degree.

And→→ when you will look at the graph and observe the second  function,

 y=cos (x +\frac{\pi}{6})

Domain is equal to [\frac{-\pi}{2}+\frac{\pi}{6} ,\frac{\pi}{2}+\frac{\pi}{6}]=[\frac{-\pi}{3},\frac{2\pi}{3}]

Range =[-1, 1]

It's Maximum value is also =1, which it takes at , x=-30 degree.

And, when you will compare the graphs of two functions,the graph has been shifted

  \frac{\pi}{2} - \frac{\pi}{3}=\frac{\pi}{6}

to the left.

Option A: There is a phase shift to the left.

 

   

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Farmer Jan is a vegetable farmer who divides his field between broccoli crops and spinach crops. Last year, he grew 6 tons of br
ankoles [38]

Answer:

There is no unique solution to this problem.

There are infinitely many solutions to this problem.

Step-by-step explanation:

Let B denotes broccoli crop

Let S denotes spinach crop

Last year, he grew 6 tons of broccoli per acre and 9 tons of spinach per acre, for a total of 93 tons of vegetables.

Mathematically,

6B + 9S = 93        eq. 1

This year, he grew 2 tons of broccoli per acre and 3 tons of spinach per acre, for a total of 31 tons of vegetables.

Mathematically,

2B + 3S = 31

2B = 31 -  3S

B = (31 -  3S)/2      eq. 2

Substitute eq. 2 into eq. 1

6B + 9S = 93

6[(31 -  3S)/2] + 9S = 93

3(31 -  3S) + 9S = 93

93 - 9S + 9S = 93

- 9S + 9S = 93 - 93

0 = 0

Therefore, there is no unique solution to this problem.

Which means that there are infinitely many solutions to this problem.

5 0
3 years ago
If the variance of the data values in a population is 196, what is the standard deviation of the data values?
Natali [406]
The standard deviation is the square root of the variance

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Simplify the following: (25 ×−716 ) + ( 25 × 28)
kvv77 [185]

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5 0
3 years ago
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