Rewrite with only sin x and cos x. (1 point)sin 2x - cos 2x

2 sinx cosx - 1 + 2 sin2x
2 sin x cos2x - 1 + 2 sin2x
2 sin x cos2x - sin x + 1 - 2 sin2x
2 sin x cos2x - 1 - 2 sin2x

Answers

Answer 1

Answer: Note that
sin 2x = 2 sin(x) cos(x)
cos 2x = cos²x - sin²x = 2cos²x - 1 = 1 - 2sin²x

Therefore
sin 2x - cos 2x
= 2 sin(x) cos(x) - (1 - 2sin²x)
= 2 sin(x) cos(x) - 1 + 2sin²x

Answer: 2 sin(x) cos(x) - 1 + 2 sin²x

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For each of the following numbers, write 4 decimals that would round to this whole number when rounde to the nearest whole number.a)14 b)28 c)32 d)50 e)67 f)71 g)88 h)95
Can someone help me it’s geometry :(

Does anyone seriously know how to do these

Answers

Thats simple!
h(x)= $(x^(2)+3x )/(4x+27)$
find h(-8)
All we need to do is PLUG IN THE -8
h(-8)= $((-8)^(2)+3(-8) )/(4(-8)+27)$
= $(64-24)/(-32+27)$ (negative²=positive, negative×positive=negative)
= $(40)/(-5)$
h(-8)=-8

Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day. If the original amount of room freshener in the bottle was 40 grams, which of the following graphs best represents the amount of room freshener f(x) that would remain in the bottle after x days?graph of function f of x equals 30 multiplied by 0.88 to the power of x

graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

graph of function f of x equals 50 multiplied by 0.82 to the power of x

graph of exponential function going down from left to right in quadrant 1 through the point 0, 4 and approaching the x axis

Answers

Given:
bottle of room freshener = 40 grams
evaporates at the rate of 15% per day.

f(x) = 40(.85)^x

x y
1 34
2 28.9
3 24.57
4 20.88
5 17.75

graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

Answer:going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

What is 54.8% written as a decimal?

Answers

you can figure it out if u divide it by 100
54.8 % = 0.548

0,548 as I guesssssыыыы

What is 85 percent of a 28 year prison sentence?

Answers

Answer:

23.8 years

Step-by-step explanation:

85% can be written as 0.85

0.85 * 28 = 23.8 years

One number is 1 more than 2 times another. Their product is 10. Find the numbers.

Answers

whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring.

In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.

this means our two numbers are 5 and 2

Which is greater a 2.75 gallon container or juice or 12 liter container of juice