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KIM [24]
3 years ago
11

A.) f(x)=3x^2-18x+27.

Mathematics
2 answers:
Alona [7]3 years ago
8 0
A)
Vertex:(3,0)
x-intercepts: (3,0) 
y-intercepts: (0,27)

B)
Vertex:(0,-9)
x-intercepts:none 
y-<span>intercepts:</span> (0,-9)
lions [1.4K]3 years ago
8 0
(b) is relatively easy.  Since there is no middle term, the graph is that of a parabola with vertex at (0, -9), opening downward due to the (-) sign

In (a), we have 3x^2-18x+27 = f(x).  3 can be factored out:  f(x) =3(<span>x^2-6x+9).

Can you see that this is already a perfect square?  So f(x) = 3(x-3)^2 + 0.

The vertex is at (3, 0).  Place a black dot at that point on graph paper.  Because the leading coeff. of </span><span>3x^2-18x+27 is +, the parabola opens UP.  The y-intercept is found by letting x=0:  f(0) = 3(0)^2 - 18(0) + 27 => (0,27).</span>
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Answer:

104.8 in^2

Step-by-step explanation:

There are 2 ways to solve this problem.

The 1st way:

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Rectangle Length = 8.3

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So, the left out length will be 17.9 - 8.3

=> 9.6

Since, 9.6 cm is for 2 parts.

=> 9.6 / 2

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So, Height of the Triangle = 8

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Area of a rectangle

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=> 66.4

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=> 1/2 x 8 x 4.8

=> 4 x 4.8

=> 19.2

There are 2 triangles:

=> 19.2 x 2

=> 38.4

=> 66.4 + 38.4

=> 104.8

The area of the trapezoid = 104.8 in^2.

The 2nd way is:

Area of a trapezoid

=> Smaller Base + Larger Base / 2 x Height

=> 8.3 + 17.9 / 2 x 8

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=> 13.1 x 8

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The area of the trapezoid is 104.8 in^2

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Answer:

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Step-by-step explanation:

Since the country wants to reduce the emission by the percentage each year, the function will be decaying function. The formula of decaying function will look like this  

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Where

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If we put the number, the equation will be:

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