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finlep [7]
3 years ago
10

Consider the function below.

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

Answer:

See the attachment for the points and line of interest.

Step-by-step explanation:

A graphing calculator or graphing utility can show you the curve.

For ax²+bx+c, the line of symmetry is x=-b/(2a). That is also the x-coordinate of the vertex. The y-intercept is the constant, the value of the function when x=0. The x-intercepts are the values of x that make f(x) = 0.

Here, those are x=4 and x=-2. You can factor f(x) as (x+2)(x-4). These values of x make the factors, and the function, zero.

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What is a number with one or more digits to the right of the decimal point
Flura [38]
.123
.456
.002
.1
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any of these will work :) hope this helps!
4 0
3 years ago
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Given cscx/cotx=sqrt2, find a numerical value of one trigonometric function of x.
Firlakuza [10]

   \frac{csc (x)}{cot (x)} = \sqrt{2}

⇒ \frac{csc (x)}{1} * \frac{1}{cot (x)} = \sqrt{2}

⇒ \frac{1}{sin (x)} * \frac{sin(x)}{cos (x)} = \sqrt{2}

⇒\frac{1}{cos (x)} = \sqrt{2} ; sin(x) ≠ 0, cos(x) ≠ 0

⇒ \frac{cos (x)}{1} = \frac{1}{\sqrt{2}}; sin(x) ≠ 0, cos(x) ≠ 0

⇒ cos (x) = \frac{\sqrt{2}}{2}

Use the Unit Circle to determine when cos (x) = \frac{\sqrt{2}}{2}

Answer: 45° and 315°  (\frac{\pi}{4} and \frac{7\pi }{4} )


8 0
3 years ago
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Write an equation of the line that passes through (-6, 0) and (0, -24)
krok68 [10]

Answer:

+4

Step-by-step explanation:

8 0
3 years ago
Divide using polynomial long division.<br> (2x3 – 16x² + 37x – 26) = (x - 5)
worty [1.4K]

the solution to the given synthetic division will be expressed as (2x^2 - 6x + 7) + \frac{9}{x-5}

<h3>Synthetic division of a polynomial</h3>

According to the given question, we are to divide (2x³ – 16x² + 37x – 26)  by (x - 5)

         2x^2 - 6x + 7

x - 5 | 2x³– 16x² + 37x – 26

          2x³ - 10x²

     __________

                 -6x² +37x

                 -6x² +30x

             _______________

                             7x   - 26

                             7x   - 35
                         ______________

                                       9 - Remainder

Hence the solution to the given synthetic division will be expressed as:

 P(x) = Q(x) +  \frac{R(x)}{D(x)} \\(2x^3  -16x^2 + 37x - 26 = (2x^2 - 6x + 7) + \frac{9}{x-5}

Learn more on synthetic division here: brainly.com/question/24662212

3 0
2 years ago
Helppppppppppppppppppppppppppppppppppppppppppppp
Andrei [34K]

Answer: 80% of the air is made up of other gases.

Step-by-step explanation:

1/5 = 2/10. There are 8/10 left over which is 80%. Hope this helps!

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