L(t)=9-0.5t
t=time in hours,
L(t)=length of candle at time t
(A) substitute t=1,2,3,4,5,6 respectively to get
(1,8.5)
(2,8)
(3,7.5)
(4,7)
(5,6.5)
(6,6)
(B) it is a function because none of the x-values duplicate, (nor the y-values).
(C) If the rate changes to 0.45 "/hr, the relation is still linear.
All linear function with finite slope are functions.
Answer:
- 59/40
Step-by-step explanation:
Answer:
x = 7, y = 6
Step-by-step explanation:
solve for y for the first equation
2x + y = 20
-2x -2x , eliminate 2x
y = 20-2x
now that we have found y, substitute the y in for the second equation
-5y = -6x + 12
-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5
-100+10x = -6x + 12, we multiplied everything from the parathesis by -5
+100 + 100, eliminate -100
10x = -6x + 112
+6x +6x , eliminate 6x
16x = 112 , solve for x
x = 7
then y = 20 - 2x = 20 - 2*7 = 6
check:
2 * 7 + 6 = 20
20 = 20
-5 * 6 = -6 * 7 + 12
-30 = -42 + 12
-30 = -30
Answer:
He walks 28 blocks.
Step-by-step explanation:
0,0 to 0,8 is 8 blocks
0,8 to 6,8 is 6 blocks
6,8 to 6,0 is 8 blocks
returning home (6,0 to 0,0) is 6 blocks
8+6+8+6=28 blocks
Answer:
73
Step-by-step explanation:
Put the values of the variables where the variables are, then do the arithmetic.
(2·5)^2 -3·3^2 = 10^2 -3·9 = 100 -27 = 73
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Or, you can let a calculator or spreadsheet evaluate the function for you.
