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3 years ago

the average (arithmetic mean) of t and y is 15, and the average of w and x is 15. what is the average of t, w,x,and y

1 answer:

5 0

Oi :)

$\frac{t+y}{2}=15 \\ \\ t+y=15*2 \\ t+y=30$
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$\frac{w+x}{2}=15 \\ \\ w+x=15*2 \\ w+x=30$
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Logo:
$\frac{t+y+w+x}{4}=??? \\ \\ \frac{30+30}{4} \\ \\ \frac{60}{4} \\ \\ 15$
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Answer = 15

Boa Noite. Bons Estudos !

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Common denominator of 2/5 and 1/10

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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.

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Answer:

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Step-by-step explanation:

3x×2x=6...... then an x²

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2 years ago

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Answer:

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Step-by-step explanation:

1. if george age was g

karen age= g x 5 = g5

2. mike age= gx5 + 3

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