Answer:
{0,1,3,4}
Step-by-step explanation:
Given, total no of slices=8.
Total no of friends=4.
also each friend didnt ate more than the other three.
let a,b,c,d be no of slices ate by the friends 1,2,3,4 respectively.
given sum of a+b+c+d=8.
now applying the second condition
so each of a,b,c,d must be less than or equal to 4.
which means 5 values are possible{0,1,2,3,4}.from this set you have to select 4 values such that their sum is 8.hence, those values are {0,1,3,4}.
Answer:
the slope of line j is -1/8, the slope of lines m and n are both 8.
Explanation step by step:
Suppose j is the slope of line j, m the slope of line m and n the slope of line n. Since:
1. line j is perpendicular of line m, so j*m= -1
2. J is perpendicular of line n, so j*n=-1
3. m and n and parallel so m=n
As we want to know the slope of j we clear the equations presented to us in order to find it.
(1) m* n* j = -8, since n=m we have * j = -8.
we clear j;
replacing in the equation n*j = -1 we get
n*(-8/n^2) = -1. Thus n = 8. Since j = -1/n = -1/8.
The equation which represents exponential decay is y=
Given four equations : 1)y=, 2) y=
, 3) y=
, 4) y=
.
Equation is relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. Exponential equation look like .
Decay means when x value increases ,the y value decreases.
We haveto put 3 values for x in the equations to check.
1)y=
put x=0,y=-3
put x=1, y=-1
put x=2, y=5
No,itdoes not represents exponential decay.
2) y=2
put x=0,y=2
put x=1, y=8
put x=2, y=32
No,it does not represents exponential decay.
3) y=
put x=0,y=0.5
put x=1, y=1.5
put x=2, y=4.5
No,it does not represents exponential decay.
4)y=6
put x=0,y=6
put x=1, y=2
put x=2, y=0.67
Yes ,it represents exponential decay.
Hence the equation which represents exponential decay is y=6.
Learn more about equations at brainly.com/question/2972832
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