Answer: Carlos is correct
Step-by-step explanation:
2x^5-250x^2
The first step is to factorize out 2x^2
2x^2(x^3-125)
This can be rewritten as
2x^2(x^3-5^3),
Recall, difference if cube (a^3-b^3)
= (a-b)(a^2 +ab + b^2)
from our equation,
a= x
b = 5.
So the difference of cubes will be
2x^2[(x-5) (x^2 + 5x + 5^2)]
=2x^2[(x-5) (x^2 + 5x + 25)]
Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.
Amber is incorrect because 125 is equal to b3, not b.
Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.
Answer:
A. The data are continuous because the data can take on any value in an interval.
Step-by-step explanation:
The data surveyed is the exact mass, in grams, of food eaten by each person each day.
This type of data is continous, not discrete. The mass can take any value within the domain of positive real numbers. It represents a physic variable, and they are always continous.
Answer:
you put the correct answer in
Step-by-step explanation:
Answer: $5,744.61
Step-by-step explanation:
year 1 = -2,277
year 2 = -2026.53
year 3 = -1803.61
year 4 = -1605.21
year 5 = -1428.64
year 6 = -1271.49
year 7 = -1131.62
year 8 = -1007.17
year 9 = -896.36
year 10 = -797.76
year 11 = -710
you are subtracting 11% from each year.
Answer:
The acceleration of the train is 0.5m/s²
Step-by-step explanation:
Given
Velocity of the train = 10m/s
Time taken = 20 s
Required
Find the acceleration of the train.
The Acceleration if an object is the rate of change of the velocity of the object over time.
In other words, acceleration is calculated by dividing velocity by time.
Mathematically,
Acceleration = velocity ÷ Time
By substituting 10m/s for velocity and 20s for time, we have
Acceleration = 10m/s ÷ 20s
Acceleration = 10/20 m/s²
Acceleration = ½m/s²
Acceleration = 0.5m/s²
Hence, the acceleration of the train is 0.5m/s²
