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Serhud [2]
3 years ago
12

If a, b, and c are constants, a > b > c, and x3 − x = (x − a)(x − b)(x −

Mathematics
1 answer:
Mice21 [21]3 years ago
3 0
X³-x=x(x²-1)=x(x+1)(x-1)
a=1, b=0, c=-1

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Explain the special pattern for sketching a parabola
Lady bird [3.3K]

Answer:

the parabola can be written as:

f(x) = y = a*x^2 + b*x + c

first step.

find the vertex at:

x  = -b/2a

the vertex will be the point (-b/2a, f(-b/2a))

now, if a is positive, then the arms of the parabola go up, if a is negative, the arms of the parabola go down.

The next step is to see if we have real roots by using the Bhaskara's equation:

x =  \frac{-b +-\sqrt{b^2 -4ac} }{2a}

Now, draw the vertex, after that draw the values of the roots in the x-axis, and now conect the points with the general draw of the parabola.

If you do not have any real roots, you can feed into the parabola some different values of x around the vertex

for example at:

x =  (-b/2a) + 1 and x =  (-b/2a) - 1

those two values should give the same value of y, and now you can connect the vertex with those two points.

If you want a more exact drawing, you can add more points (like x =  (-b/2a) + 3 and x =  (-b/2a) - 3) and connect them, as more points you add, the best sketch you will have.

8 0
2 years ago
Could someone explain to me what is the process
Phoenix [80]

Answer:

You just multiple the number of apples one truck can carry by the number of trucks total.

The second one you divide 4551 by 37 and round your answer up.

Step-by-step explanation:

So it would be 23*37.

3 0
3 years ago
Read 2 more answers
Values used with a function are called
uranmaximum [27]
Values used with a function are called arguments. An argument in terms of logic and philosophy, it is the series of statements that are being used for such purpose and function. It is typically used to persuade someone to a different perspective of looking.
5 0
2 years ago
in 2000 the u.s population was 281 million people in 2008 it was 305 million what was the rate of population change per year
irga5000 [103]
The rate of change per year is 3 million per year.
4 0
3 years ago
Ximena is typing a 2500 word essay. In 9 minutes she types 396 words, at this rate can Ximena type the essay in an hour?
sasho [114]

Answer:

yes

Step-by-step explanation:

396÷ 9= 44

44×60= 2,640 > 2500

8 0
2 years ago
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