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Anni [7]
2 years ago
12

The quadratic function:

+1" align="absmiddle" class="latex-formula"> has an axis of symmetry of x=-4. Which of the following represents the range of the function?
1) [17, ♾️)
2) (-♾️,17]
3) (-♾️,-4]
4) [-4,♾️)
Mathematics
1 answer:
pav-90 [236]2 years ago
8 0

Answer:

  2)  (-∞, 17]

Step-by-step explanation:

The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.

The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.

  y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17

The range of the function is (-∞, 17].

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Answer:

(x-1)(x-4)

Step-by-step explanation:

I used long division with polynomials to help me find the other factor to this problem.  Divide x cubed -5x squared -6x+8 by x+2 to get x squared -5x+4.

Hope this helps!

5 0
2 years ago
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What is the slope of the line that passes through the points listed in the table?
Allisa [31]

Answer:

D. -4

Step-by-step explanation:

the slope formula is

m=(y2-y1)/(x2-x1)

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4 0
2 years ago
For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp
Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

\frac{1}{365}

a) Probability that  exactly 3 people have same birthday = \frac{1}{365^3}

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = \frac{1}{365^3}

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Hence

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4 0
3 years ago
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aksik [14]
Hello.

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So the new price of the television is 562.12.

Have a great day! :)
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