Answer:
6 s^9 t^3
Step-by-step explanation:
When you multiply same variables with exponents, you want to add the expoenents.
6s^5t * s^4t^2
s^5 * s^4 = s^9
t * t^2 = t^3
6 * 1 = 6
6 s^9 t^3
Cost of hosting the tournament : $1,000
If it rains, the club will lose the investment: $ -1,000
If it is sunny, the club will collect $4,500 ; profit: 4,500 - 1000 = 3,500
chance of rain is 20%
-1,000 * 20% = -200
3,500 * 80% = 2,800
2,800 - 200 = 2,600 Choice C.
Answer:
C
Step-by-step explanation:
x+4> 8
Subtract 4 from each side
x+4-4>8-4
x > 4
Open circle at 4, line going to the right
Answer:
2.(b) w= 3
3. x= -3 or x= 3
Step-by-step explanation:
2.(b) <u>Method 1:</u>
Simplify:
×5 on both sides:
Expand:
Bring constants to 1 side, w terms to the other:
Simplify:
Divide both sides by 3:
<u>Method 2:</u>
Multiply by 5 throughout:
Expand:
Simplify:
+9 on both sides:
-4w on both sides:
Simplify:
Divide by 3 on both sides:
3.
Multiply by 3x on both sides:
Expand:
Simplify:
Divide by 6 on both sides:
-9 on both sides:
Factorise:
*Since a²-b²= (a +b)(a -b),
Thus,
x +3= 0 or x -3= 0
x= -3 or x= 3