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kykrilka [37]
4 years ago
5

If f is a function, then f(3x)=3f(x)

Mathematics
1 answer:
Delvig [45]4 years ago
7 0
This is false.
The f(3x) means you are multiplying the input 'x' by 3 before plugging into the equation.
3f(x) means you are going to multiply your answer (output) by 3 after you've plugged the input value in and gotten the output.
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3 years ago
Given the following perfect square trinomial, fill in the missing term. (2 points)<br> 9x^2 +___+25
Zielflug [23.3K]

Answer:

30x

Step-by-step explanation:

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5 0
3 years ago
4.
zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.

Required

Prove

To start with; we open the bracket on the left hand side

(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)

(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)

(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x

(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x

Reorder

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

From trigonometry;

sin^2x + cos^2x = 1

So;

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

becomes

(sin x - cos x)^2 = 1 - 2sinx cos x

Also from trigonometry;

sec^2x - tan^2x = 1

So,  

(sin x - cos x)^2 = 1 - 2sinx cos x

becomes

(sin x - cos x)^2 = sec^2x - tan^2x  - 2sinx cos x

Proved

3 0
3 years ago
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FrozenT [24]

Answer: 90 degree angle

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4 0
3 years ago
Read 2 more answers
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