the ratio is 6:13 meaning 6 is for men and 13 is for women so add 6 and 13 to get 19 . since the total number of people was 95 it will be represented by the total ratio 19 then to get the number of men it will be 6 times 95 then divide by 19 for women 13 times 95 then divide by 19 after that subtract men from women
When it says 'which has a greater rate of change' it is referring to 'what has a greater slope.' So, let's calculate each thing's slope:
Table:
I'm going to pick the easiest values to work with, so I'll pick the points (0, -2) and (1, -9/5) - I simplified the mixed fraction. So, here we go, the slope formula is:
So, the table's slope is
-1/5.
Graph
We can, again, pick two points. I'll pick the two given: (5, 0) and (0, -3). Let's start off with the same formula:
The graph's slope is
3/5.
Now, we just have to decide which is bigger:
-1/5 or
3/5. So, clearly:
3/5 > -1/5.
The
3/5 slope was the graph, hence it has the greater rate of change (
that's why it's B). If anything doesn't make sense, feel free to DM me or ask!
Answer:
-3x-8
Step-by-step explanation:
Answer:
The measure of the three angles are 120°, 20° and 40°
Step-by-step explanation:
Let
x ----> the measure of the first angle
y ---> the measure of the second angle (smallest angle)
z ---> the measure of the third angle
Remember that
The sum of the angles in a triangle must be equal to 180 degrees
so
----> equation A
-----> equation B
------> equation C
solve the system by substitution
substitute equation B and equation C in equation A
solve for y
<em>Find the value of x</em>
----
<em>Find the value of z</em>
---->
therefore
The measure of the three angles are 120°, 20° and 40°