<h3>
Answer: C) -1/2</h3>
=============================================
Explanation:
We'll apply the derivative to get
g(x) = 4x^3 + 3x^2
g ' (x) = 3*4x^2 + 2*3x
g ' (x) = 12x^2 + 6x
Set that equal to 0 and solve for x. We do this to find where the horizontal tangents are located.
g ' (x) = 0
12x^2 + 6x = 0
6x(2x + 1) = 0
6x = 0 or 2x+1 = 0
x = 0 or x = -1/2
Adding those two said solutions yields us the final answer choice C
To find the constant proportionality you would need to find the cost of one ticket which would be 9 dollars
Answer:
The per hour rate is 0.5 inches per hour
Step-by-step explanation:
Here, we want to calculate the rate at which the level of the water increased
Mathematically, we can get this by dividing the amount of increment by the time it took
That would be 3 inches divided by 6 hours
= 3/6 = 0.5 inches per hour
Answer:
A
Step-by-step explanation:
using the rule : 
= 
+ 7
sequence A with a₁ = 11
a₂ = a₁ + 7 = 11 + 7 = 18
a₃ = a₂ + 7 = 18 + 7 = 25
a₄ = a₃ + 7 = 25 + 7 = 32
sequence A is generated using the rule
sequence B with a₁ = 17
a₂ = a₁ + 7 = 17 + 7 = 24
a₃ = a₂ + 7 = 24 + 7 = 31
a₄ = a₃ + 7 = 31 + 7 = 38
sequence B is not generated using the rule
sequence C with a₁ = - 15
a₂ = - 15 + 7 = - 8
a₃ = a₂ + 7 = - 8 + 7 = - 1
a₄ = a₃ + 7 = - 1 + 7 = 6
sequence C is not generated using the rule
sequence D with a₁ = - 9
a₂ = a₁ + 7 = - 9 + 7 = - 2
a₃ = a₂ + 7 = - 2 + 7 = 5
a₄ = a₃ + 7 = 5 + 7 = 12
sequence D is not generated using the rule
Answer:
-6s-c+1
Step-by-step explanation:
(-3s-4c+1)+(-3s+3c)
We have been given the above expression. To find the sum, we simply collect the like terms and combine them;
(-3s-4c+1)+(-3s+3c) = -3s + -3s -4c + 3c + 1
-3s + -3s -4c + 3c + 1 = -3s - 3s + 3c - 4c + 1
-3s - 3s + 3c - 4c + 1 = -6s - c + 1
Therefore;
(-3s-4c+1)+(-3s+3c) = -6s-c+1
