Answer:
5(x+3)........ ...........
Let <em>f(x)</em> be the sum of the geometric series,
for |<em>x</em>| < 1. Then taking the derivative gives the desired sum,
Answer:
c(x)=(x+3)^2+5
Step-by-step explanation:
To complete the square, the same value needs to be added to both sides.
So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression
C(x) =x^2 +6x + 9 + 14
Since 9 was added to the right-hand side also add 9 to the left-hand side
C(x) +9= x^2 +6x + 9 + 14
Using a^2 + 2ab + b^2=(a+b)^2, factor the expression
C(x)+9= (x+3)^2 +14
Move constant to the right-hand side and change its sign
C(x)=(x+3)^2 +14 - 9
Subtract the numbers
C(x)= (x+3)^2 +5
To find how long it will take to fill the tank, you can use the idea that every 30 seconds will get you one gallon closer to being full.
This means to fill 50 gallons, you will need 50 groups of 30 seconds.
50 x 30 = 1500 seconds
1500/60 = 25 minutes.
It will take 25 minutes.
You could also think of it as filling 2 gallons every minute. It would take 25 of these.
Answer:
-24a^3b^7
Step-by-step explanation:
(3a^2b^4)(-8ab^3) Original equation
-24a^3b^7 You have to multiply the coefficients, but because of
the power rule, you have to add the exponents with each other.
Hope this helps!
