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Stella [2.4K]
2 years ago
8

What is the solution to this equation?

Mathematics
2 answers:
____ [38]2 years ago
8 0
C is the solution x = 6
labwork [276]2 years ago
6 0
The solution to this equation is C (6)

3x - 3 = 15

3x = 15 + 3
3x = 18
3/3 x = 18/3

x = 6
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which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1​
lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. y=\sec x

B. y= \tan x

C. y= \cot x

D. y= \csc x

Answer:

A. y=\sec x

D. y=\csc x

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: y=\sec x

We know that, the \sec x=\frac{1}{\cos x}

The range of \cos x is from -1 to 1 given as [-1, 1]. So,

|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1

Therefore, on removing the absolute sign, we rewrite the secant function as:

\sec x\leq -1\ or\ \sec x\geq 1\\

Therefore, the range of y=\sec x is all real numbers greater than or equal to 1 or less than or equal to-1​.

Choice B: y= \tan x

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: y= \cot x

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: y=\csc x

We know that, the \csc x=\frac{1}{\sin x}

The range of \sin x is from -1 to 1 given as [-1, 1]. So,

|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

\csc x\leq -1\ or\ \csc x\geq 1\\

Therefore, the range of y=\csc x is all real numbers greater than or equal to 1 or less than or equal to-1​.

6 0
3 years ago
The geometric mean of 3 and 6.
QveST [7]

Answer:

4.5

Step-by-step explanation:

6 0
2 years ago
How many minutes are there between 8:20 p.m. and 10:05 p.m.​
Fed [463]

Answer:

105 minutes.

Step-by-step explanation:

first you would subtract 60 by 20 to get 40 then your time would be at 9:00 so in order to get to 10:00 you would have 60 minutes which you would add the 40 to to get 100 minutes then add 5 to bring your time to 10:05 and your total number of minutes to 105

7 0
3 years ago
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
DanielleElmas [232]

Answer:

C 18 x minus 9 = 72

D 3 (6 x minus 3) = 72

E   x = 4.5

Step-by-step explanation:

Hope this helped

6 0
2 years ago
Read 2 more answers
The blue figure is a translation of the black image. Write a rule to describe the translation.
4vir4ik [10]

it has gone up 4 lines and left -2 making it go for a (4,-2)

5 0
3 years ago
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