Yes. It is a function I don’t know why but I know it is
Answer:
y = -1/2x + 13/2
Step-by-step explanation:
The slope of a line that is perpendicular to a line will be a negative reciprocal. When you rewrite 2x-7=8 into slope-intercept form, you get y=2x-8. The negative reciprocal of the slope 2x is -1/2x. There is only one option with this slope. If you're still not sure then you can use a graphing calculator to check this. An online one would be desmos
From calculus, to determine the maxima or minima of the graph, get the derivative of the equation and equate to zero. So, we derive first the equation of the graph and equate to zero.
C = 0.25x² - 80x + 30000
dC/dx = 0 = 0.5x - 80 + 0
0.5x = 80
x = 80/0.5
x = 160 units
The minimum cost (although not asked) is:
C = 0.25(160)² - 80(160) + 30000
C = $23,600
The answer is 160 units.
Answer:
x = 9
Perimeter = 74
Area = 342
Step-by-step explanation:
First, find x. to do so, set your formula up as
18 = 8x - 54
18 + 54 = 8x
72 = 8x
72/8 = x
9 = x
Now that you have x, find your missing side
2x + 1 = y, x
2 * 9 + = y
19 = y
Your perimeter is P = 2(l+W)
P = 2(18 * 19)
P = 74
Your area is A = wl
A = 19 * 18
A = 342
Box-plot describes 5 important data of the observations. We get following values for range, median and IQR as:
- The range of Charles' scores is 20
- The median of Charles' scores is 90
- The IQR of Charles' scores is 8
<h3>How does a boxplot shows the data points?</h3>
A box plot has 5 data description.
- The leftmost whisker shows the minimum value in the data.
- The rightmost whisker shows the maximum value in the data.
- The leftmost line in the box shows the first quartile.
- The middle line shows the median, also called second quartile.
- The last line of the box shows the third quartile.
<h3>How to find the interquartile range?</h3>
IQR(inter quartile range) is the dfference between third and first quartile. (Its the horizontal length of the box)
<h3>What is the range of a data set?</h3>
Range = Maximum value of the data set - Minimum value of the dataset
The missing box plot is attached below for the given problem.
From the given data, we see that, the left and right whiskers are on 80 and 100 respectively.
The left and right limit of the box are on 85 and 93 respectively.
The middle line lies on 90.
Thus, we get:
- Minimum score = left whisker = 80
- Maximum score = right whisker = 100
- First quartile = left limit of box = 85
- Third quartile = right limit of box = 93
- Second quartile = median = middle line's position in the box = 90
Thus, we get:
- Range of Charles' score = Max - min value = 100 = 80 = 20
- Median of Charles' score = 90
- IQR = third quartile - first quartile = 93 - 85 = 8
Learn more about box plot here:
brainly.com/question/1523909