2
This means for every 1 can of black paint there are 2 cans of white paint in the mix
Step-by-step explanation:
The constant of proportionality is the gradient of line which can be evaluated as follows;
Gradient = delta y / delta x
Gradient = (y2 – y 1) / (x2 – x1)
We shall pick two points on the line graph in (x,y) format;
(3. 6) and (1, 2)
We evaluate the gradient now be repalivn the points on the formula;
Gradient = (2 – 6) / 1 – 3
Gradient = - 4 / - 2
Gradeint = 2/1 = 2
= 2
This means for every 1 can of black paint there are 2 cans of white paint in the mix
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Hello there!
I'm assuming since there is no question, that you want an explanation for composite functions.
Today, I want to introduce you to a very new way of looking at functions. Think of a function as a machine. I'll call this machine f. When you plug something into this machine, it is an x-value. The machine changes the x-value into a new value which is called a y-value. This is how a function works.
With composite functions though, things get a little bit tricky. To make f(g(x)), you need to plug in x into the g machine, and it will give you an output. (y-value) The next thing you do is take that y-value and plug it into the g machine. The g machine then gives you a new value. This value is f(g(x)).
Let's do an example together...
f(x)=3x and g(x)=x²+4
if we want f(g(x)), first plug in x to the g machine. when plugging in x to the g machine, we get x²+4 as given in the question.
Now we must plug in g(x) into the f machine. Since g(x) is x²+4, we just replace x with x²+4.
We get 3(x²+4)
This means that f(g(x))=3(x²+4)
NOTE: If you are seeking help with an actual question, please message me in the comments and I will assist you shortly!
I hope this helps!
Best wishes :)
The slope is 0 so it's a horizontal line parallel to the x-axis. All the values of y are the same. The line passes through the point (1,8), so y=8.
