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2 years ago

Graph the line. y+2=-1/(x-1)

Mathematics

1 answer:

Airida [17]2 years ago

4 0

Answer:

I can't graph on here but to graph you start at the starting point which is -1 in the y-axis. So we start at -1 on the y-axis then we carry out the slope which is -1. Because the slope is negative the graph will be negative so you move down 1 and right 1 continuously.

Step-by-step explanation:

To graph the line you have to put it in y = mx + b form

So first let's distribute

y + 2 = -1x + 1

Subtract 2 from both sides

y = -1x - 1 OR y = -x - 1

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What is .36 repeating expressed as the quotient of two integers in simplest form?

Igoryamba

$x=0.\overline{36}\\
100x=36.\overline{36}\\
100x-x=36.\overline{36}-0.\overline{36}\\
99x=36\\
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x=\dfrac{4}{11}$

5 0

2 years ago

A graphing calculator is recommended. A function is given. g(x) = x4 − 5x3 − 14x2 (a) Find all the local maximum and minimum val

Taya2010 [7]

Answer:

The local maximum and minimum values are:

Local maximum

$g(0) = 0$

Local minima

$g(5.118) = -350.90$

$g(-1.368) = -9.90$

Step-by-step explanation:

Let be $g(x) = x^{4}-5\cdot x^{3}-14\cdot x^{2}$ . The determination of maxima and minima is done by using the First and Second Derivatives of the Function (First and Second Derivative Tests). First, the function can be rewritten algebraically as follows:

$g(x) = x^{2}\cdot (x^{2}-5\cdot x -14)$

Then, first and second derivatives of the function are, respectively:

First derivative

$g'(x) = 2\cdot x \cdot (x^{2}-5\cdot x -14) + x^{2}\cdot (2\cdot x -5)$

$g'(x) = 2\cdot x^{3}-10\cdot x^{2}-28\cdot x +2\cdot x^{3}-5\cdot x^{2}$

$g'(x) = 4\cdot x^{3}-15\cdot x^{2}-28\cdot x$

$g'(x) = x\cdot (4\cdot x^{2}-15\cdot x -28)$

Second derivative

$g''(x) = 12\cdot x^{2}-30\cdot x -28$

Now, let equalize the first derivative to solve and solve the resulting equation:

$x\cdot (4\cdot x^{2}-15\cdot x -28) = 0$

The second-order polynomial is now transform into a product of binomials with the help of factorization methods or by General Quadratic Formula. That is:

$x\cdot (x-5.118)\cdot (x+1.368) = 0$