The third option is the best fit for the application of a linear model.
In the first option, there is likely to be a correlation but it cannot be a linear one as goals are missed even from inside the keeper's box.
In the second option, it is safe to assume that each person will at least 2 other so this will follow an exponential model.
In the third option, the stopping distance is given by the equation of motion:
s = ut + 1/2 x at²
And this shows that the distance varies linearly with speed.
1. .1667 or 16%
2. X >_ 2. (Greater than or equal to)
3. X<-1
4. This one isn't an equation, but simplifies to 2x
Not sure what algebra tiles are
not sure how to absolutely prove
I can prove it works at least most of the time by subsitute ing number for x
remember that 0,1,2 have special properties and are not very good for subsituting so
try 4
4+8(4)=4(2(4)+1)
true or false?
4+8(4)=4(2(4)+1)
multipily
4+32=4(8+1)
36=4(9)
36=36
this is treu at least for the number 4
another way is to believe in the distributive property where
a(b+c)=ab+ac so then
4(2x+1)=4(2x)+4(1)=8x+4=4+8x
Answer for problem 1: slope = 2, y intercept = 3
Answer for problem 2: slope = 3/4, y intercept = -2
Explanation:
Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).