Answer:
1 / (x² + 6x + 8)
Step-by-step explanation:
(x + 4) / (x² + 5x + 6) * (x + 3) / (x² - 16)
= (x + 4) / (x + 2)(x + 3) * (x + 3) / (x + 4)(x - 4)
↑ factor x² + 5x + 6 ↑ factor x² - 16 using difference of squares
= 1 / (x + 2) * 1 / (x - 4) ← x + 4 and x + 3 cancel
= 1 / (x + 2) * (x + 4) ← multiply
= 1 / (x² + 6x + 8) ← expand
Answer:
He has $390 left in his account.
Step-by-step explanation:
Answer:The slope is 6/7
Step-by-step explanation:
when finding the slope you will need to move the 6x to the other side of the equation by subtracting which gives you 7y=14-6x and all that is left is to divide by 7 which gives y=14-6/7y
Answer:
10
Explanation:
The average rate of change is calculated using
∣∣
∣
∣∣¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯aag(b)−g(a)b−aaa∣∣∣−−−−−−−−−−−−−−−
here a = 1 and b = 3
g(3)=2(3)3−4(3)2=54−36=18
and g(1)=2(1)3−4(1)2=2−4=−2
⇒ average rate of change =18−(−2)3−1=202=10
Hope this helped
Answer:
95% chance
Step-by-step explanation:
10+6+3+1=20
1/20=0.05 or 5%
5% chance of the marble being green
100%-5%=95%