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3 years ago

What is the solution to the equation? x=3 x=1 x=-1 x=-3

Mathematics

1 answer:

Degger [83]3 years ago

8 0

Answer:

x= - 3

Step-by-step explanation:

2x - 3= 4x + 3

2x = - 6

x = - 3

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HELP ON THIS PROBLEM!!<br><br> Solve the following 0deg< x< 360deg: cos x= cos 2x

blsea [12.9K]

Answer:

$x=0^\circ,120^\circ,240^\circ,360^\circ$

Step-by-step explanation:

<u>Use identities to set the equation up as a quadratic</u>

$\cos x=\cos 2x;\:0^\circ \leq x \leq 360^\circ\\\\\cos x=2\cos^2 x-1\\\\0=2\cos^2 x-\cos x-1$

<u>Make the substitution u=cos(x) and solve the quadratic</u>

<u /> $0=2u^2-u-1\\\\0=(2u+1)(u-1)$

$\displaystyle 0=2u+1\\\\0=2\cos x+1\\\\-1=2\cos x\\\\-\frac{1}{2}=\cos x\\\\120^\circ,240^\circ=x$

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7 0

2 years ago

Given f(x)=3x-1 find f(-1)

vaieri [72.5K]

Answer:

Step-by-step explanation:

f(x) = 3x - 1

To find f(-1) substitute the value of x that's

- 1 into f(x). That's for every x in f(x) replace it with - 1 and solve

That's

f( - 1) = 3(-1) - 1

= - 3 - 1

We have the final answer as

Hope this helps you

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3 years ago