It has to be this simple right? 18 holders thirty candles. but if only one candle fits in each holder then there is only 18 decorations possible
The basic structure of a linear function is y=mx+b (or +c, depending on your schools curriculum)
We need to find the slope (m), and the y-intercept (b/c)
To find the slope you can pick two random points, say (2,2) and (0,1)
The formula for the slope is this: m= y1-y2 / x1-x2
So if we substitute the points in, we get 2-1 / 2-0 = 1/2
Knowing the slope, it can be substituted into to the equation: y=1/2x + b
Then, if you notice the second point- (0,1), it’s the y-intercept. The y coordinate there is 1.
To check if this is correct, a random coordinate set can be picked and substituted in to find b.
y= 1/2x + b
2 = 1/2 *2 + b
2 = 1 + b
2-1=b
1=b
Therefore, the final linear function is y = 1/2 x + 1
Answer:
C
Step-by-step explanation:
We have the rational expression

; to simplify it, we are going to try to find a common factor in the numerator, and, if we are luckily, that common factor will get rid of the denominator

.
Notice that in the denominator all the numbers are divisible by two, so 2 is part of our common factor; also, all the terms have the variable

, and the least exponent of that variable is 1, so

will be the other part of our common factor. Lets put the two parts of our common factor together to get

.
Now that we have our common factor, we can rewrite our numerator as follows:

We are luckily, we have

in both numerator and denominator, so we can cancel those out:


We can conclude that the simplified version of our rational function is

.