Answer:
The coordinates of P are (1,3.5)
Step-by-step explanation:
Here, we simply want to find the coordinates of point P that divides line AB in the ratio 1 to 3
Mathematically, that would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
where in this case m = 1, n = 3
(x1,y1) = (-1,2)
(x2,y2) = (7,8)
Thus, we have ;
(x,y) = (3(-1) + 1(7)/)1+3) , (3)2) + 1(8)/(1 + 3)
(x,y) = (-3+7)/4 , (6 + 8)/4
(x,y) = 4/4, 14/4
(x,y) = (1,3.5)
Answers:
The number 0 goes in the first blank for f(x)
The number 6 goes in the second blank for g(x)
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Explanation:
As x gets larger and larger, the expression (4/5)^x will get smaller and smaller. What's going on is that we are repeatedly multiplying (4/5) with itself over and over if we assume x is some whole number. For example, if x = 100, then we'll have 100 copies of (4/5) multiplied out. Each time we multiply by (4/5), the result gets smaller.
The results will approach 0 but not actually get there. So this is why f(x) has the horizontal asymptote y = 0. The function values f(x) will essentially be the set of positive y values, in other words, y > 0. This covers the range for f(x). To get the range of g(x), we add 6 to the range of f(x). This is because everything on g(x) is a vertical shift upward of 6 units.
Answer:
Should be B
Step-by-step explanation:
You have 3 boxes
Small is 1/2 of medium so .5x
Large is 2 times larger then medium so 2x
Then add
2.5x
