Answer:
y = -1/2x + 2
Step-by-step explanation:
Given the following points on the line:
(0, 2) and (6, -1)
We need to find the slope of the line using the following formula:
m = (y2 - y1)/(x2 - x1)
Let (x1, y1) = (0, 2)
(x2, y2) = (6, -1)
Plug these values into the slope-formula:
m = (y2 - y1)/(x2 - x1)
m = (-1 - 2) / (6 - 0)
m = -3 / 6
m = -1/2
Therefore, the slope of the line is -1/2.
Next, we need to find the <em>y-intercept</em> of the line. The y-intercept is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0. If you look at the graph, you'll see that the line crosses the y-axis at point (0, 2), which happens to be one of the points we used earlier. The y-coordinate of (0, 2) is the y-intercept.
Therefore, the y-intercept (b) = 2.
We can write the linear equation as follows:
y = -1/2x + 2
Answer:
-17 =s
Step-by-step explanation:
-8s +4 = -7s +21
Add 8s to each side
-8s+8s +4 = -7s+8s +21
4 = s+21
Subtract 21 from each side
4-21 = s+21-21
-17 =s
<u>Answers</u>
1. Minimum = 4
2. First quartile = 6.5
3. Median = 13.5
4. Third quartile = 19
5. Maximum = 20
<u>Explanation</u>
To calculate the measure of central tendency, you first arrange the set of the data in ascending order.
The set of data given will be;
4, 4, 9, 9, 18, 18, 20, 20.
Part 1:
The minimum value of the data is 4.
Part 2:
The first quatile is the median of the lower half which is comprised by:
4, 4, 9, 9
1st quartile = (4+9)÷2
= 13÷2
= 6.5
Part 3:
Median of the data is;
Median = (9+18)÷2
=27÷2
= 13.5
Part 4:
3rd quartile is the median of the upper half which comprises of;
18, 18, 20, 20.
3rd quartile = (18+20)÷2
= 48÷2
= 19
Part 5
The maximum of the set of data is 20.
1. This problem lacks given values, where are the
numbers? Just fill-in the numbers I will variables in this case.
Let us say that:
x = number of cups of flour
y = number of cups of white sugar
z = number of cups of brown sugar
(a) Just divide x by 6 to get cups of flour per serving
x / 6
(b) Simply add y and z and divide the sum by 6
(y + z)/6
(c) From (a) we know that there are x / 6 flours per
serving, so simply multiply that by 9 then subtract the original x to know how
much more you need:
[(x / 6) * 9] – x
2.
(a) We know that we deposit $5 per day, so after 5 days
we got:
total deposit = ($5 / day) * 5 days = $25
(b) The total deposit is 25 dollars, so removing $2 a day
we need:
25 / 2 = 12.5 days
3.
(a) d is distance, R is rate, T is time
32.12 = 8.8 T
(b) It is rightful to write distance d as a positive
number since the scuba diver was ascending towards the surface. If this is to
be plotted on a Cartesian plane, we are moving towards the positive y axis
(c) solving for T:
32.12 = 8.8 T
T = 32.12 / 8.8
T = 3.65 minutes
Answer:
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Step-by-step explanation:
