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jasenka [17]
4 years ago
13

How can linear equations and functions be written and graphed? Explain how shifting the graph changes the function.

Mathematics
1 answer:
suter [353]4 years ago
7 0
Linear equations are written as y = C1x + C2 where C1 & C2 are constants. They are graphed by plugging in numbers for y or x and solve for the other. For example if you have an equation y = 3x + 6 you then for y = 1 you have 1 = 3x + 6 -> x = -5/3 you then take the two coordinates (-5/3,1) and plot the point do this for further numbers and connect the points with a straight line. Shifting the graph up or down will change the value of C2 and shifting the graph left or right will change C1.
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On a multiple choice test, if you randomly guessed on three questions, then what is the probability you got at least one of them
snow_lady [41]

Answer:

Number of Questions =3

Probability of giving a correct answer

                              =\frac{1}{3}

Probability of giving two correct answers

                       =\frac{2}{3}

Probability of giving all correct answers

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Probability that at least one of them is correct

         =_{1}^{3}\textrm{C}\\\\=\frac{3!}{(3-1)! \times1!}\\\\=3 \text{ways}\\\\=\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \\\\=\frac{1}{27}

Probability that two of them is correct

         =_{2}^{3}\textrm{C}\\\\=\frac{3!}{(3-2)! \times2!}\\\\=3 \text{ways}\\\\=\frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} \\\\=\frac{8}{27}

Probability that all of them is correct

         =_{3}^{3}\textrm{C}\\\\=\frac{3!}{(3-3)! \times3!}\\\\=1 \text{way}\\\\=1

So, Required probability

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Answer:

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