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2 years ago

Probability Task - Marbles

Mathematics

1 answer:

Nastasia [14]2 years ago

4 0

Answer:

I don't know soorry. lalalala

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What is the slope of line segment 7 ?

ycow [4]

Answer:

The slope is 0 because it is a straight line

Step-by-step explanation:

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2 years ago

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Predict The cost of a school photo package includes $40 for the photo shoot, plus the

Alex_Xolod [135]

Answer:

1. Linear; 2. C = 2.50x + 40

Step-by-step explanation:

1. Prediction

Yes, it is a linear function, because each additional photo adds the same amount to the cost.

2. Equation

Let C = the cost of the photo package

and x = the number of photos

Then 2.50x = the cost of the photos

And $40 = cost of photo shoot

Then C = 2.50x + 40

The figure below shows that the graph of your equation is a straight line.

4 0

2 years ago

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

2 years ago

Pleaseee helpppppp!!!

mr Goodwill [35]

The measure of a straight line is 180

125+30=155

180-155=25

x = 25

8 0

2 years ago

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When using the binomial formula, which of the following is a correct step in the expansion of (x+y)4

lbvjy [14]

X+y=4 is a correct step

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3 years ago