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Natasha2012 [34]
3 years ago
12

Express cos^2 x in terms of cos2x. Hence, express f(x) = 6cos^2 x - 4sin 2x in the form R cos (2x + Y degrees) + p where R, y an

d p are constants. Find the maxium and minimum values of f(x) and sketch its graph in the domain -180 <= x <= 360
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0
2cos^2 x = 1 + cos 2x
cos^2 x = 1/2(1 + cos 2x)
f(x) = 6cos^2 x - 4 sin 2x = 6(1/2(1 + cos 2x) - 4 sin 2x = 3 + 3cos 2x - 4sin 2x
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(1 pt) Which answer is the same as moving the decimal in 6.73 three places to the left? A. dividing 6.73 by 103 B. dividing 6.73
zalisa [80]
D. because when you multiply you move your numbers to the left and 1000 has 3 zeros meaning you will move your answer 3 times to the left .

hope you understand 
good luck with your homework


4 0
3 years ago
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An amount of $290000 is borrowed for a period of 25 years at an interest rate of 4%
Serhud [2]

Answer:

nice

Step-by-step explanation:

7 0
2 years ago
One 16-ounce bottle of an energy drink has an average of 500 mg of caffeine with a standard deviation of 25 mg. In a carton cont
labwork [276]
<span>In this case, every bottle has 500 mg of caffeine with a standard deviation of 25 mg. The equation of a bottle will be: 500 +/- 25mg caffeine per bottle.

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7 0
3 years ago
Red roses come 3 to a package, and white roses come 5 to a package. If an equal number of red and white roses are wanted to make
Katen [24]

Answer:

B :- 15

Step-by-step explanation:

Given:

A package of red rose contains = 3 pieces

A package of white rose contains = 5 pieces

If an equal number of red and white roses are wanted to make bouquets, what is the minimum number of each that can be purchased ?

Solution:

As here given that there are two types of package of roses, red roses come 3 pieces to each packet and white roses come 5 pieces to each packet and we have to find equal minimum number of  red roses as well as white roses to be purchased, we will simply find the Lowest common multiple of 3 and 5.

Multiples of 3 :- 3, 6, 9,12, 15, 18, 21, 24

Multiples of 5 :- 5, 10, 15, 20, 25

<em>Lowest common multiple is 15, that means </em><em>15 is the minimum number of pieces of each that can be purchased to make bouquets.</em>

And number of packets of red rose have to purchase = 3 \times <em><u>5</u></em> = 15, 5 packages.

And number of packets of white rose have to purchase = 5 \times <em><u>3</u></em> = 15 , 3 packages.

4 0
3 years ago
Read 2 more answers
How can I solve 4x^2 + 12x &gt; -x -3
Damm [24]

He have the following:

4x^2+12x>-x-3​

solving:

\begin{gathered} 4x^2+12x+x+3>-x-3+x+3​ \\ 4x^2+13x+3>0 \\ \text{factoring} \\ (4x+1)(x+3)>0 \\ (4x+1)>0\rightarrow4x+1-1>-1\rightarrow\frac{4x}{4}>-\frac{1}{4}\rightarrow x>-\frac{1}{4} \\ (x+3)

5 0
10 months ago
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