3 years ago

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Mathematics

1 answer:

Yanka [14]3 years ago

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Solve 2(x + 1) = 2x + 5.

algol13

Answer—> no solution

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3 years ago

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F (x) = 3x + 7 <br> F (-4) = <br> F (2) =

V125BC [204]

Answer:

f(-4)=3(-4)+7=0

f(2)=3(2)+7=13

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3 years ago

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(1+tanx)/(sinx+cosx)=secx

jek_recluse [69]

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$ is proved

<h3><u>Solution:</u></h3>

Given that,

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$ ------- (1)

First we will simplify the LHS and then compare it with RHS

$\text { L. H.S }=\frac{1+\tan x}{\sin x+\cos x}$ ------ (2)

$\text {We know that } \tan x=\frac{\sin x}{\cos x}$

Substitute this in eqn (2)

$=\frac{1+\frac{\sin x}{\cos x}}{\sin x+\cos x}$

On simplification we get,

$=\frac{\frac{\sin x+\cos x}{\cos x}}{\sin x+\cos x}$

$=\frac{\sin x+\cos x}{\cos x} \times \frac{1}{\sin x+\cos x}$

Cancelling the common terms (sinx + cosx)

$=\frac{1}{c o s x}$

We know secant is inverse of cosine

$=\sec x=R . H . S$

Thus L.H.S = R.H.S

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$

Hence proved

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3 years ago

John has a bag of different colored marbles. He has 6 red marbles, 3 blue marbles, 7 yellow marbles, and 5 green marbles. if Joh

zhannawk [14.2K]

Answer:

Its a 15% chance

Step-by-step explanation:

15% is the probability of the blue marble

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Write the following ratio in simplest form 8 to 12

Nonamiya [84]

Answer:

2/3 or 2 to 3

Step-by-step explanation:

Good luck!

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