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3 years ago

Under what conditions do we solve a verbal problem using a system of linear equations

Mathematics

1 answer:

shusha [124]3 years ago

6 0

Answer:

draw a graph and plot the points to make it linear

Step-by-step explanation:

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

IceJOKER [234]

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

Step-by-step explanation:

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

Someone help and make sure the answer is right please and thank you!!!! :)

timama [110]

Answer:

A, 6

Step-by-step explanation:

$50=8x+2$

subtract $2$ from both sides

$48=8x$

divide both sides by $8$

$x = 6$

plz mark me brainliest ;)

3 0

3 years ago

PLS HELP!!!! Pointtssss!! The temperature during a very cold day is

grin007 [14]

The type of polynomial that would best model the data is a cubic polynomial. (Correct choice: D)

<h3>What kind of polynomial does fit best to a set of points?</h3>

In this question we must find a kind of polynomial whose form offers the best approximation to the point set, that is, the least polynomial whose mean square error is reasonable.

In a graphing tool we notice that the least polynomial must be a cubic polynomial, as there is no enough symmetry between (10, 9.37) and (14, 8.79), and the points (6, 3.88), (8, 6.48) and (10, 9.37) exhibits a pseudo-linear behavior.

The type of polynomial that would best model the data is a cubic polynomial. (Correct choice: D)

To learn more on cubic polynomials: brainly.com/question/21691794

#SPJ1

6 0

2 years ago

A building casts a 21-ft shadow and a flagpole casts a 6-ft shadow. If the flagpole is 15 ft tall, how high is the building? Rou

seropon [69]

The solution to the problem is as follows:

We use proportion :

Let the height of building = x ft.

We get x/21 = 15/6

x = 15*21 /6

x = 52.5 ft.

height of bldg = 52.5 ft

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

4 0

3 years ago

Lavaughn owns a small business selling ice-cream. He knows that in the last week 56 customers paid cash, 14 customers used a deb

garri49 [273]

Answer:

0.05

Step-by-step explanation:

8 0

3 years ago

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