Choose the answer that shows exponential decay?*

Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?

GREYUIT [131]

Answer:

no values of x make the equation true

Step-by-step explanation:

Given that her work is correct, then the final step gives

4 = 5 ← meaningless

This indicates that the equation has no solution

5 0

4 years ago

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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

Kevin, Michael and Darren all do their own laundry at home. Kevin does his laundry every 9 days, Michael every 10 days, and Darr

VladimirAG [237]

Answer:

In 180 days the three of them will do their laundry again on the same day.

Step-by-step explanation:

we need to find the least common factor or 9, 10 and 12:

LCM(9, 10, 12) = 180

5 0

3 years ago

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Find the simultaneous equation x-2y=1,y^2-3xy+8=0

Hitman42 [59]

Answer:

(-2.2, -1.6), (3, 1)

Step-by-step explanation:

You don't have to go far to find the equations. They are right there in your problem statement. Perhaps you want to find the solutions to the equations.

Use the first equation to write an expression for x, then substitute that into the second equation:

x = 2y +1

y^2 -3(2y+1)(y) +8 = 0

-5y^2 -3y +8 = 0

-(5y +8)(y -1) = 0

y = -8/5 or y = 1

The corresponding values of x are ...

x = 2(-8/5)+1 = -11/5

x = 2(1) +1 = 3

The solutions are (x, y) = (-2.2, -1.6) and (3, 1).

5 0

3 years ago

Who got forza horizon 3 on xbox one

kotegsom [21]

No not meeeeeeeeeeeeee

8 0

3 years ago

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