Answer:
(1/ 6 ln (9) ) x 9^6x + C
Step-by-step explanation:
Number of possible outcome = (17 x 16 x 15) ÷ (1 x 2 x 3) = 680
Answer: 680.
8*(n+6)=80
distribute
8n+48 = 80
subtract 48 from each side
8n = 32
divide by 8
n=4
Answer:
x>7 or x ≤ -3
Step-by-step explanation:
Solving the 1st inequality
-6x +14 < -28 --------------- (Collect like terms)
-6x < -28 - 14
-6x < - 42 -------------------- (Divide both sides by -6)
Note: If you decide an inequality expression by a negative value, the inequality sign changes)
-6x/-6 > -42/-6
x > 7
Solving the 2nd inequality
9x + 15 ≤ −12 ----------- (Collect like terms)
9x ≤ −12 - 15
9x ≤ −27 ------------------(Divide both sides by 9)
9
9x/9 ≤ −27/9
x ≤ -3
Bring both results together, we get
x>7 or x ≤ -3
The final result is complex (i.e. can't be combined together).
Answer:
k≥-1.5
Step-by-step explanation:
-(5k-3) ≤ 15 + 3k
-5k+3 ≤15 +3k
+5k +5k
3≤15+8k
-15 -15
-12 ≤ 8k
divide both sides by 8
-1.5 ≤ k
or k≥-1.5
Hope this Helps!!!
