Consider functions f and g such that composite g of is defined and is one-one. Are f and g both necessarily one-one. Let f : A → B and g : B → C be two functions such that g o f : A ∴ C is defined. We are given that g of : A → C is one-one.
Answer:
4x^2 + 8x - 12 = 0.
Step-by-step explanation:
We first write it in factor form.
4(x - 1)(x + 3) = 0
4(x^2 + 2x - 3) = 0
4x^2 + 8x - 12 = 0 (answer).
The force the same object will exert if it accelerates at a rate of 7 m/s² is 35N
From the question,
We are to determine the force the object will exert.
From the information,
Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object
Let acceleration be a
and
Force be F
Then we can write that,
F ∝ a
Then,
Introducing the constant, mass, m
We get
F = ma
Now, we will determine the mass of the object
F = 15 N
a = 3 m/s²
Putting the parameters into the formula, we get
15 = m × 3
∴ m = 15 ÷ 3
m = 5 kg
The mass of the object is 5 kg.
Now, to determine the force the same object will exert if it accelerates at a rate of 7 m/s²
That is,
a = 7 m/s²
and
m = 5 kg
Putting the parameters into the formula, we get
F = 5 × 7
F = 35 N
Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35N
Learn more here: brainly.com/question/13590154
The left term is (5x)³.
The right term is 10³.
So, you can use the formula for the factorization of the difference of cubes.
... a³ - b³ = (a-b)(a² +ab +b²)
Here, you have a=5x, b=10, so the factorization is
... 125x³ -1000 = (5x-10)(25x² +50x +100)
