Answer:
Option A: 12
Step-by-step explanation:
From the image of the triangle given, we can see that:
XM = ZM
We are given that:
XM = 2x + 2 and ZM = 4x - 8
Thus;
2x + 2 = 4x - 8
Rearrange to get;
4x - 2x = 8 + 2
2x = 10
x = 10/2
x = 5
Thus, XM = 2(5) + 2
XM = 12
You have to find two definite points on the graph, i'll use (1,4) and (2,6) as an example
The slope formula is (y2-y1)/(x2-x1)
This means you have to subtract the first y value from the second divide it by the first x value subtracted from the second
In my example you have to do (6-4)/(2-1) to get 2/1, or 2
Hope this helps!
They are inverse functions though to be completely thorough your teacher should have also put g(f(x)) = x as well. Though I can see what your teacher is aiming for at least.
The idea is that whatever the output of g(x) is, it's plugged into f(x) and the initial input is the result. So g(x) takes a step forward and f(x) takes a step back undoing everything g(x) did. Which is exactly what an inverse operation does.
Answer:
s = 2j
Step-by-step explanation:
Given - Ada makes sparkling juice by mixing 2 cups of sparkling water
with every 4 cups of apple juice. Let s represent the number of
cups of sparkling water and j represent the number of cups of
apple juice.
To find - Write an equation that shows how s and j are related.
Proof -
Let total number of cups of sparkling water make = s
Total number of cups of apple juice make = j
Now,
Given that, Ada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice.
⇒2s = 4j
⇒s = 2j
∴ we get
Ada can makes sparking water by mixing 2j cups of sparking water with every j cups of apple juice.
