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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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Alexxx [7]

Answer:

scalene

Step-by-step explanation:

Since none of the sides are equal, the triangle is a scalene triangle

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Equilateral would have all 3 sides equal

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3 years ago
Zip codes for the Houston area are five digit numbers with 7 as the first 2 digits of each zip code. The third digit can be 0, 3
djyliett [7]

Answer:

There are 400 possible zip codes in the Houston area

Step-by-step explanation:

Here, we want to calculate the possible number of zip codes in the Houston area

We have 5 digits to form

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For the third digit, we are selecting 1 number out of 0,3,4 or 5

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6 0
3 years ago
The average time an individual reads online national news reports is 49 minutes. Assume the standard deviation is 16 minutes and
Olin [163]

Answer:

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 49 minutes

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We are given that the distribution of  time an individual reads is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(no more than 30 minutes)

P( x \leq 610) = P( z \leq \displaystyle\frac{30 - 49}{16}) = P(z \leq -1.1875)

Calculation the value from standard normal z table, we have,  

P(x \leq 30) = 0.118 = 11.8\%

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

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3 years ago
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myrzilka [38]

Answer:

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Step-by-step explanation:

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using the order of operations, you would first have to do y + 3

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the equation simplified is 3 x 2 + 5 x 15

3 x 2 = 6

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75 + 6 = 81

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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