What is the answer to -7 =-5x+3

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

What is 6+7??????????????

Slav-nsk [51]

Answer:

12

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Round 287.9412 to the nearest tenth. Do not write extra zeros.

goldenfox [79]

Salutations!

<span>Round 287.9412 to the nearest tenth.

Lets solve this!

To round to the nearest tenth, you need to know the tenth place--------

In the number, 287.9412, nine is in the tenth place. You need also make sure whether the number next to 9 is greater than 5 or not.

</span><span>287.9412 =287.941=287.94=287.9=288=290

Thus, your answer is 290.

Hope I helped.
</span>

3 0

3 years ago

Read 2 more answers

Convert the following common fractions to decimals. Round to three decimal places if necessary. 5/6 = A)0.83 B)5.6 C)0.56 D)0.83

Umnica [9.8K]

Answer:

D

Step-by-step explanation:

If we divide 5 by 6 we'll come up with 8.333 repeating. It is necessary that we round to three decimal places since we have an endless amount of digits that can only be represented with 3 digits

7 0

3 years ago

Scarlet open a savings account and deposited $100 as principal. The account earns 10% interest, compounded yearly. What is the b

koban [17]

Answer:

190

Step-by-step explanation:

100x10x9/100=90

balance=100+90=190

5 0

3 years ago

What is the answer to -7 =-5x+3​

What is the answer to -7 =-5x+3