3 years ago

State the domain and range for y=cos(-2x+180)+3

Mathematics

1 answer:

qwelly [4]3 years ago

4 0

Answer:

Domain: All real numbers

Range: $2\le x\le4$

Step-by-step explanation:

The given function is

$y=\cos(-2x+180\degree)+3$

The cosine function is continuous everywhere so the domain is all real numbers.

The range of the parent function $y=\cos(x)$

is $-1\le x\le 1$ .

The given function has been shifted up 3 units.

The range is

$-1+3\le x\le 1+3$ .

$2\le x\le 4$ .

See graph

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the value of two numbers if their sum is 12 and their difference is 4. write a system of equation and find the two numbers

nikdorinn [45]

x+y=12

x-y=4

Then you solve:

x+y=12

-y -y

x=12-y

x-y=4

+y +y

x=4+y

4+y=12-y

+y +y

4+2y=12

-4 -4

2y=8

divide both sides by 2 to isolate y

y=4

Plug it into one of the equations

x+4=12

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x=8

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goblinko [34]

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3 years ago

So was the last comment the question ?

Tamiku [17]

Well sure, i don't see why not.

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3 years ago

Jason sells tires and makes 15% commission. If he sold a total of $850 last week, how much commission will he earn?

Anastaziya [24]

Answer:

$127.5

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3 years ago

A rectangle or prism with a volume of three cubic units is filled with Cubes with side length of one for a few how many 1/4 unit

AURORKA [14]

Answer:

192 cubes.

Step-by-step explanation:

The volume of each cube = (side)³ = (1/4)³ = 1/64 units ³

Next is to find how many cubes are needed to fill the prism.

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