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steposvetlana [31]
3 years ago
8

At what value of x does the minimum or maximum occur for the function below? f(x) = 8(x + 8)2 + 9 A. maximum at x = 9 B. minimum

at x = 9 C. maximum at x = -8 D. minimum at x = -8
Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0

8 {(x + 8)}^{2}  + 9 \geqslant 9 \: ( {(x + 8)}^{2}  \geqslant 0) \\ \Leftrightarrow x + 8 = 0\Leftrightarrow x =  - 8 \\ \Rightarrow D.\: Minimum\: at\: x=-8

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To make a stemplot of these rainfall amounts, round the data to the nearest 10, so that stems are hundreds of millimeters and le
Over [174]

The two stem plots (with and without splitting the leaves) are plotted below using the data given in the attached picture :

The stem and leaf plots are given below:

Rounding the data to the nearest 10;

The values obtained are :

630, 670, 740, 650, 710, 740, 720, 700, 650, 600, 780, 780, 790, 810, 830, 860, 860, 900, 810, 790, 790, 960, 870

Ordering the data allows for easier generation of the plot.

Ordered data : 600, 630, 650, 650, 670, 700, 710, 720, 740, 740, 780, 780, 790, 790, 790, 810, 810, 830, 860, 860, 870, 900, 960

The stem plot without splitting :

STEM __ LEAF

6 ___ 00, 30, 50, 50, 70

7 ___ 00, 10, 20, 40, 40, 80, 80, 90, 90, 90

8 ___ 10, 10, 30, 60, 60, 70

9 ___ 00, 60

KEY :  6 | 00 = 600

The stem plot WITH splitting :

STEM __ LEAF

6 ___ 00, 30

6 ___ 50, 50, 70

7 ___ 00, 10, 20, 40, 40

7 ___ 80, 80, 90, 90, 90

8 ___ 10, 10, 30

8 ___ 60, 60, 70

9 ___ 00

9 ___ 60

KEY :  6 | 00 = 600

The stem plot with splitting gives a cleaner and more arranged output of the data as the values aren't congested on a single line.

Learn more on stem and leaf plot : brainly.com/question/12857419?

3 0
3 years ago
A botanist measured the length of a tomato seedling as 3.56 centimeters. Select her degree of accuracy in measurement.
xxTIMURxx [149]

Answer:

her degree of accuracy in measurement is 0.05 cm (Option D)

Step-by-step explanation:

The degree of accuracy in the measurement of the botanist depends on the instrument used.

For a length of 3.56 centimeters, it shows that the length of the tomato seedling was measured using meter rule or tape.

Meter rule is graduated in 1 mm or 0.1 cm. The estimated uncertainty in measurement using meter rule is half of its graduation i.e ( ¹/₂ of 0.1 cm = 0.05 cm).

If the botanist measured the length of tomato seedling as 3.56 centimeters, then her degree of accuracy in measurement is 3.56 cm ± 0.05 cm.

Therefore, her degree of accuracy in measurement is 0.05 cm (Option D)

4 0
2 years ago
What is the area of the sector with a central angle of 97 degrees and a diameter of 10cm
vampirchik [111]

Answer:

21. 162 (rounded to nearest thousandth)

Step-by-step explanation:

Area of a sector: (degree/360) (pi*radius^2)

degree given= 97

radius= diameter/2 = 5

(97/360) (pi*5^2)

(97/360) (pi*25) = 21.16211718

4 0
3 years ago
The sum of 3 consecutive integers is 78. What is the integer closest to zero?
vova2212 [387]

Answer:

25

Step-by-step explanation:

Let n be the first integer.

Then the second integer will be (n + 1).

And the third will be (n + 2).

The sum is 78. Therefore:

n+(n+1)+(n+2)+78

Solve for n. Combine like terms:

3n+3=78

So:

3n=75

Therefore:

n=25

Therefore, the first integer is 25.

So our sequene is 25, 26, and 27.

The integer closest to zero will thus be 25.

5 0
2 years ago
Read 2 more answers
Pls help me
Mashutka [201]

Answer:

A is the answer because...

Step-by-step explanation:

Let's narrow it down, so it is not D because 8/2=4 but 64/4=16, so already they don't share a slope. It is not B because the numbers don't work together like they should, since we are trying to prove proportionality. It is not C because we are not trying to square the numbers but find a similarity between the numbers, the same slope I mean. So that leaves A which has  the slope of 2, test it out now. 0 and 0 are the same, 4/2=2, 8/4=2, 12/6=2. So now you know that A is the correct answer.

Hope you understand! :)

3 0
3 years ago
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