Evaluate
--5a + 2b – 6c when a = -6, b=1, and c= -2.5

Answer:

[tex]cos(2x)+sin(x)=1-2\,sin^2(x)+sin(x)[/tex]

which agrees with the third option listed.

Step-by-step explanation:

I believe you meant to write the answer with only sin(x).

Use the double angle identity for the cos(2x) as shown below:

[tex]cos(2x) = cos^2(x)- sin^2(x)\\since \\cos^2(x) = 1-sin^2(x)\\then:\\cos(2x) = 1-sin^2(x)- sin^2(x)\\cos(2x)=1 - 2\,sin^2(x)[/tex]

Now we use this identity in the original expression to get:

[tex]cos(2x)+sin(x)=1-2\,sin^2(x)+sin(x)[/tex]

which agrees with the third option listed.

Step-by-step explanation:

Possible description: As I move from a lesser place-value position to the next greater place-value position, the pattern is that the greater place-value position is 10 times as much as the next lesser place-value position.

Answer:

c=1

Step-by-step explanation:

subtract 1 with 10, outcome is 1. subtract both sides by 9 to deduct the 9. and you get 1

Answer:

c = 1

Step-by-step explanation:

The algebra way is to isolate the variable c, and solve for it. The image below shows step-by-step on how to solve it.

Hope this helps! :)

Answer:

Option 4 or the last one.

Step-by-step explanation:

$60 and free shipping, which costs $60. 15% off but $10 for shipping

which is $61. 1/10 discount but $5 which costs $59

so the cheapest is $49, for Store Z.

Hope this helps :D

#Team Rainbows~

Answer: 0.35

Step-by-step explanation:

Answer:

Please check the explanation below.

Step-by-step explanation:

In other words, in order for relation to be a function, we must make sure there must be no repetition of 'x' coordinate values, as it would violate the fundamental definition of a function.

A) (2, 5), (5, 7), (7, 9)

Here, the x-coordinates are: 2, 5, and 7

At x = 2, y = 5

At x = 5, y = 7

At x = 7, y = 9

Thus, the coordinate pairs (2, 5), (5, 7), (7, 9) represent the function.

B) (2, 3), (1, 4), (2, 8),(0, 1)

Here, the x-coordinates are: 2, 1, 2 and 0

At x = 2, y = 3

At x = 1, y = 4

At x = 2, y = 8

At x = 0, y = 1

Please observe that the x-coordinate values i.e. x=2 are repeated.

Thus, the coordinate pairs (2, 3), (1, 4), (2, 8),(0, 1) does not represent the function.

C) (4, 8), (5, 8), (6, 8)

Here, the x-coordinates are: 4,5 and 6

At x = 4, y = 8

At x = 5, y = 8

At x = 6, y = 8

Thus, the coordinate pairs (4, 8), (5, 8), (6, 8) represent the function.

D) (-1, 4), (0, -1), (8, 3)

Here, the x-coordinates are: -1, 0, and 8

At x = -1, y = 4

At x = 0, y = -1

At x = 8, y = 3

Thus, the coordinate pairs (-1, 4), (0, -1), (8, 3) represent the function.

E) (1, 8), (8, 1), (1, 3)

Here, the x-coordinates are: 1, 8, and 1

At x = 1, y = 8

At x = 8, y = 1

At x = 1, y = 3

Please observe that the x-coordinate values i.e. x=1 are repeated.

Thus, the coordinate pairs (1, 8), (8, 1), (1, 3) does not represent the function.

F) (9, 0), (9, 1), (9, 2), (9, 3)

Here, the x-coordinates are: 9, 9,9 and 9

At x = 9, y = 0

At x = 9, y = 1

At x = 9, y = 2

At x = 9, y = 3

Please observe that the x-coordinate values i.e. x=9are repeated.

Thus, the coordinate pairs (9, 0), (9, 1), (9, 2), (9, 3) does not represent the function.

The answer is w=40b Answer:

Step-by-step explanation:

Answer:200

Step-by-step explanation:

w=40b

=40(5)

=200

Answer: to solve this you can make a proportion.

264 x

---- = ----

3 1

to solve, cross multiply and divde

264 times 1 is 1. 264 divided by 3 is 88. the unit rate is 88 beats in one minute

Step-by-step explanation:

Deron's heart beat rate per minute is 64 beats/min.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Deron recorded his heart rate as 204 beats in 3 minutes.

∴ How many times his heart beats in one minute or the unit rate in beats per minute can be obtained if we divide the total no. of beats by total no. of minutes which is,

= (204/3) beats per minute.

= 68 beats per minute.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Answer:

f(x)=

Step-by-step explanation:

9514 1404 393

Answer:

  $750

Step-by-step explanation:

The 20% discount multiplies the price by (1 - 20%) = 0.80.

The 15% discount multiplies the price by (1 - 15%) = 0.85.

After applying the discounts to the initial price P, we have ...

  P(0.80)(0.85) = $510

  P = $510/(0.80·0.85) = $750

The price before discounts was $750.

One possible answer is: 1, 8, 17, 32, 4, 12

I don't know if there's a methodical way to get this answer. I used trial and error. I started with 1 and looked through the list to see what adds to 1 to get a perfect square. That would be 8 since 1+8 = 9 = 3^2

The process is repeated but this time for 8. After a bit of guess and checking, we see that 8+17 = 25 = 5^2.

Then after 17 is 32 because 17+32 = 49 = 7^2.

Keep doing this until all of the values are used up. If you get stuck, then try backtracking to a previous branch/path where everything worked and try another fork in the road. If that doesn't work, then try starting the sequence with a completely different value (instead of 1).

Other answers may be possible. I haven't checked all possible permutations.

Answer:

The total would be $38.88

Step-by-step explanation:

First I did 1.50 • 24 = 36

Then I did 36 + 8% = 38.88

Hope this helps

Also can I get brainliest :)

Answer:

4x-53

Step-by-step explanation:

Boy=x

sis = x-53

father = 4x-53

I'm sorry I have No clue

Step-by-step explanation:

lol but I honestly d0n7 kno

Answer:

±2∧

Step-by-step explanation:

x=10ft dx=±0.1

area y=x²

dy=2xdx

when x=10

dy=2×10×(±0.1)=±2

error in area=±2

Answer:

1. 0

2. 5  

3. 0.416666667

4.0

Answer:

He is wrong

Step-by-step explanation:

In the beginning of the question it says,"Roger has 3 boxes of chico dile snacks and 6 bottles of Dr. pepper" and whatever comes first either its a ratio, fraction ect; the number in the question that comes first always comes first in anything.

answer: is 34

Step-by-step explanation:M=50 so $0.35-50

Answer:

you would need just over 261 pounds of seed for 1 acre.

Step-by-step explanation: For example, if the recommended seeding rate for a specific blend of grasses is 6 pounds per 1,000 square feet, multiply 6 by 43.56 to get 261.36. Thus you would need just over 261 pounds of seed for 1 acre.

Answer:

D.

Step-by-step explanation:

Multiply what's inside the parentheses by 3 to get the answer. 3x+12

Answer:

D. 3x+12

Step-by-step explanation:

3(x+4)

3*x=3x

3*4=12

3x+12

Answer:

56

Step-by-step explanation:

Answer:

Infinite Solutions

Step-by-step explanation:

If the two equations are the same (as they are here), the amount of solutions would be infinite. I hope this helps!

Answer:

it will be 7 and 1/2

Step-by-step explanation:

2 and 1/2 x 3=7 and 1/2

Answer:

A

Step-by-step explanation:

Answer: Add to both sides

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

[tex]Range = \{5,1,2,23,-5\}[/tex]

[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]

Step-by-step explanation:

Given

[tex](6,5)\ (-13, 1)\ (-4,2)\ (-5, 23)\ (-10, -5)[/tex]

Required

Determine the domain and range

A relation has the following format:

[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)........(x_n,y_n)\}[/tex]

The range of the relation are:

[tex]\{y_1,y_2,y_3,y_4........y_n\}[/tex]

While the domain are:

[tex]\{x_1,x_2,x_3,x_4........x_n\}[/tex]

Using this analysis, the domain of the relation is:

[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]

and the Range is

[tex]Range = \{5,1,2,23,-5\}[/tex]