A1 = (1, -2 , 0) ; a2 = (0,1,2) ; a3 = (5,-6,8) ; b = (2,-1,6)
2*a1 = (2, -4,0)
3*a2 = (0, 3, 6)
-------------------
sum = (2, -1, 6) = b
Hope this helps
Answer:
9 red tiles
Step-by-step explanation:
Total number of tiles: 
Total number of red tiles: 
Probability of getting red in one draw: 
<em>This means that you would expect to get red 
or 30% of the times.</em>
<em>Hence, when you draw tiles 30 times from the bag, you would expect red to be picked 30% of 30 times. This is:</em>
<em>
</em>
So, you would expect to draw a red tile from the bag 9 times.
Answer:
–1 < x < 4
Step-by-step explanation:
Let's solve your inequality step-by-step.
−6<2x−4<4
−6+4<2x−4+4<4+4(Add 4 to all parts)
−2<2x<8
(−2
/2)
<
(2x
/2
)< (8
/2)
(Divide all parts by 2)
−1<x<4
<span>1st train DATA:
rate = 50 mph ; time = x hrs ; distance = rt = 50x miles
2nd train DATA:
rate = 55 mph ; time = (x-(1/2)) hrs ; distance = rt = 55(x-(1/2)) miles
Equation:
distance = distance
50x = 55(x-(1/2)
50x = 55x - (55/2)
-5x = -55/2
x = 11/2
x = 5 1/2 hrs (time at which the 2nd train overtakes the 1st train)
Hope this helps!</span>
