Molly is on a game show. To win $1,000,000, she must answer this question: What key features are necessary—and how are the features used—to create the sketch of a polynomial function? What is Molly's winning answer? Explain in complete sentences.

Answers

Answer 1

Answer: - Find the y-intercept
- Find the roots (i.e. x - intercepts)
- Determine where the function increases and where it increases, along with the maximum and minimum values.
- Determine where the function changes concavity along with the inflection points.
- Determine the special points, where the value of the function is not defined and try to find the limit when the value of x approachs to this values
- Determine the limits of the function when x approachs to positive infinity and negative infinity

- For some of those steps you need to know some concepts of calculus: limits and derivatives along with the rules that let you know if a point is a maximum, a minimum or an inflection point.

With that information you can sketch a polynomial function.

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Answers

Well first of all that is a lot of money at least for me but like yeah And second of all I’m sorry because I’m not sure

Please help me... I don't understand why I got it wrong(

Answers

You did the first step correctly ... even admirably !
You zeroed in on finding 'x' with laser-like precision, and
you knocked it out of the park.
Then, from there ... you fell off the deep end.

There's no reason that (3x + 18) has to be equal to 2(y+6).
In fact, they add up to 180°, so you could have used that
and solved for 'y'.

BUT ... (5x + 2) and 2(y+6) are "vertical angles", and THEY
are equal.

So 2 (y+6) = 5x + 2

2 (y+6) = 102

(y+6) = 51

y = 45 .

You got the answer y=78 by substituting x=20 into the top angle, 3x+18.
But the angle 3x+18 is not equal to the angle with the y variable.
They are supplementary angles (equal 180) but are not necessarily equal.
The angle that equals 2(y+6) is the angle opposite to it, 5x+2 (Vertical angle theorem).
So you should have substituted 20 into 5x+2

A triangle has sides of lengths 10 24 and 26 is it a right triangle explain?

Answers

Yes. For right triangles, the sum of the squares of the shorter sides is equal to the square of the longer side. Thus, this is a right triangle if 10^2+24^2=26^2. Expanding these squares, we have 100+576=676, which is true. Thus, the triangle is right.

c² = a² + b²
26² = 10² + 24²
676 = 100 + 576
676 = 676

It is a right triangle because it shows that it has the same answer of the Pythagorean equation.

Determine the equation in the form y=mx+b for passing through each pair of points (0,8) and (4,3)

Answers

$y=mx+b\n\nA(0;\ 8);\ B(4;\ 3)\n\nsubstitution\n\n \left\{\begin{array}{ccc}0m+b=8\n4m+b=3\end{array}\right\n\n\left\{\begin{array}{ccc}b=8\n4m+b=3\end{array}\right\n\left\{\begin{array}{ccc}b=8\n4m+8=3\end{array}\right\n\left\{\begin{array}{ccc}b=8\n4m=3-8\end{array}\right\n\left\{\begin{array}{ccc}b=8\n4m=-5&/:4\end{array}\right\left\{\begin{array}{ccc}b=8\nm=-(5)/(4)\end{array}\right$

$Answer:y=-(5)/(4)x+8$

This requires y2 - y1/ x2 - x1 as the slope. I got y=-5/4x+8 as my answer

How do you convert sin into cos, and vice versa.. Promblem: cos(6x) = sin(3x-9)

Answers

The rule for converting sin into cos and vice versa is:
sin α = cos ( 90° - α ) or cos α = sin ( 90° - α )
In this case:
cos ( 6 x ) = sin ( 90° - 6 x )
sin ( 90° - 6 x ) = sin ( 3 x - 9°)
90° - 6 x = 3 x - 9°
90° + 9° = 3 x + 6 x
99° = 9 x
x = 99° : 9 = 11°
Answer: C ) x = 11°

For which equation is x=-1/3 not a solutionA. 7+9x=4
B. 6x-5=7
C. 18+9/x=-9
D. 12x+8=4

Answers

The answer is B.

A. 7+9(-1/3)=4
B. 6(-1/3)-5= (-7)
C. 18+9/(-1/3)= (-9)
D. 12(-1/3)+8=4

Hope this helps

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Can Somebody Help Me please ?