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cestrela7 [59]
3 years ago
5

Determining Key Aspects of a Quadratic Function

Mathematics
1 answer:
Blizzard [7]3 years ago
5 0

Answer:

Step-by-step explanation:

The vertex can be located most easily by completing the square of

f(x) = -X^2 - 2x - 1 (which is equivalent to -(x^2 + 2x + 1).  The latter expression can be rewritten as -(x + 1)^2, which indicates that the x-coordinate of the vertex is -1.  The corresponding y-value is 0.  Vertex is at (-1, 0).

The function is increasing for x < -1 and decreasing for x > -1.

The domain of the function is "all real numbers."

The range is (-infinity, 0)

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What is the fractional part of a pound is an ounce
a_sh-v [17]
Since there are 16 oz in 1lb, 1/16 of a pound is one ounce. 

Hope I helped!
Best of Luck :) 
4 0
3 years ago
How many times does 21 go into 221 evenly
Bas_tet [7]
21 goes into 221 about 10 times
21x10=210
5 0
3 years ago
4p = 6(4p + 5)<br><br>what is the value of p?​
mamaluj [8]
1- expand
4p= 24p + 30
2- move 24p to the other side
4p-24p=30
-20p=30
3- Divide
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Hope this helped!
6 0
3 years ago
Which data set could be represented by the box plot shown below?
Step2247 [10]

Answer:

  (D)

Step-by-step explanation:

The box plot is a visual representation of the 5-number summary of the data. It shows the extremes, the quartiles and the median.

__

Each data set has 11 elements, sorted into increasing order.

<h3>extremes</h3>

The first and last elements of the data set correspond to the ends of the whiskers, so you are looking for a set that ranges from 3 to 18. (This eliminates choice B.)

<h3>median</h3>

The median will be the middle element, the 6th from either end. The vertical line in the box identifies its value as 10. (This eliminates choice A.)

<h3>quartiles</h3>

The first quartile is the middle element of the bottom half of the data set (what remains after the median and above elements are removed). There are 5 elements in the bottom half, so the first quartile is the 3rd one. It is signified by the left end of the box in the box plot. Its value is 7. (This eliminates choice C.)

Similarly, the third quartile is the 3rd element from the right end of the data set. The value 13 in choice D matches the right end of the box in the box plot.

The box plot represents the data set in Choice D.

8 0
2 years ago
How important is it to have the health care provider discuss nutrition during a sports physical? (1 = not important, 2 = somewha
nikklg [1K]

Answer:

categorical ordinal

Step-by-step explanation:

The variable is categorical because not important, somewhat important and very important are three different categories and these categories are assigned numerical value 1,2 and 3 still numerical value assigning cannot lead to quantitative variable because 1 still means category not important. The scale of measurement in the variable is ordinal because it has meaningful order from category 1 not important to category 3 very important.

8 0
3 years ago
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