Answer:
Step-by-step explanation:
You first equate it to zero to get:
Then solve using square root method
Or
Now work it backwards
Hence the factored form is:
Answer:
(f + g)(x) = x² + 4x - 4
Step-by-step explanation:
The statement (f + g)(x) is the same as f(x) + g(x). In other words, the question simply wants you to add the two functions together.
f(x) = 4x + 1
g(x) = x² - 5
(f + g)(x) <----- Original statement
f(x) + g(x) <----- Rewrite
(4x + 1) + (x² - 5) <----- Substitute the equations in f(x) and g(x)
4x + x² - 4 <----- Add 1 and -5
x² + 4x - 4 <----- Rearrange the terms
Answer:
You would be able to go 165 miles in total
Step-by-step explanation:
You are going 60 miles per hour, so that instantly brings you up to 120 miles, because you are there for 2 hours and 45 minutes. Because you are going exactly 60 mph, and each hour is 60 minutes, you can compare that you go 1 mile per minute. If this statement is true, you'll go another 45 miles, bringing you to a grand total of 165 miles.
Answer: 30 students in each bus.
Step-by-step explanation:
99 students - 9 students = 90 students
30 students × 3 buses = 90 students
Answer:
b and c
Step-by-step explanation:
We are given that a population whose growth over a given time period can be described by the exponential model
Let initial population =
when time t=0
After integrating
We get ln N=rt +C
Where C is integration constant
When t=0 then N=
Substitute the value of C then we get
When r=0.1 then we get
Hence, the population increase not decrease.
When r= 0
Then we get
Hence, the population do not increase or decrease.
So, a population with r of 0 will have no births or deaths during the time period under consideration.
If we take a positive value of r then the population will increase exponentially .
Hence, option b and c are both correct.
