Answer: the second option is the correct answer.
Step-by-step explanation:
f(x) = 15x² + 19x + 6
g(x) = 5x + 3
f.g(x) = (15x² + 19x + 6)(5x + 3)
f.g(x) = 75x³ + 95x² + 30x + 45x² + 57x + 18
f.g(x) = 75x³ + 95x² + 45x²+ 30x + 57x + 18
f.g(x) = 75x³ + 140x²+ 87x + 18
(f ÷ g)(x) = (15x² + 19x + 6)/(5x + 3)
We would find the other factor of the quadratic equation.
15x² + 19x + 6 = 0
We would find two numbers such that their sum or difference is 19x and their product is 90x². The two numbers are 10x and 9x. Therefore,.
15x² + 10x + 9x + 6 = 0
5x(3x + 2) + 3(3x + 2)
(3x + 2)(5x + 3)
Therefore,
(f ÷ g)(x) = 3x + 2
On evaluating, the solution is 2048
Step-by-step explanation:
16³ = 16 × 16 × 16 = 4096
⇒ 16³/2 = 4096/2 = 2048
Answer:
Equation: y=4√x
Step-by-step explanation:
This is a square-root function, specifically y = 4√x. As the input increases, the output also increases. It can also be written in exponent form, y = 4 * x^(1/2). The curve gets closer and closer to horizontal as the input increases, although it never does. The inverse of this function is y = (1/16)x², a quadratic, you can imagine y = 4√x being a reflection of y = (1/16)x² across the line y=x.
A. One relationship the function possibly models is the relationship between velocity and braking time. Imagine this situation: A function for the distance (in meters) at which a car need to stop is given by D = 4 √v where v (in meters per second) is the speed of car before braking.
B. At the beginning, when v = 0, your car is at rest, so D also = 0. At v = 9m/s, you need 12 meters to stop completely. At v = 100, you need 40 meters to stop completely.
I'm not sure if I answered your question. Hope I helped!
