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2 years ago

Which statement describes how to determine if a relation given in a table is a function?

Mathematics

2 answers:

stepan [7]2 years ago

8 0

Answer:

Step-by-step explanation:

Ahat [919]2 years ago

6 0

I believe the answer is “If none of the input values are repeated, the relation is a function” because one input must have one output.

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Which property was used to solve the given inequality?

Amiraneli [1.4K]

Subtraction Property of Inequality is used to solve the given inequality

<em><u>Solution:</u></em>

Given inequality is:

$y + 8 < - 8$

To solve the inequality, subtract 8 on both sides,

We know that,

Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged

Also, by Subtraction Property of Inequality,

If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well

$y + 8 < - 8\\\\\text{Subtract 8 from both sides of inequality }\\\\y + 8 - 8 < -8 - 8\\\\simplify,\\\\y$

Thus, Subtraction Property of Inequality is used

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2 years ago

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almond37 [142]

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Alborosie

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2 years ago

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(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x

Aliun [14]

As

$\tan x=\dfrac{\sin x}{\cos x}$
$\cot x=\dfrac{\cos x}{\sin x}$

we have

$\sin x(\tan x\cos x-\cot x\cos x)=\sin x\left(\sin x-\dfrac{\cos^2x}{\sin x}\right)=\sin^2x-\cos^2x$

Recalling that $\cos2x=\cos^2x-\sin^2x$ , we end up with

$-\cos2x=1-2\cos2x$
$1=\cos2x$
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(where $n$ is any integer)

$\implies x=n\pi$

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3 years ago

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