I'm assuming you are talking about polynomials.
For example, I have x^2 + 2x + 1, and I want to add 2x^2 + x + 2
Then the like terms here are:
x^2 and 2x^2, 2x and x, 1 and 2, they are quadratic, linear and constant, respectively.
Answer:
Explanation:
The table that shows the pattern for this question is:
Time (year) Population
0 40
1 62
2 96
3 149
4 231
A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.
Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.
Thus you must find both P₀ and r.
<u>1) P₀ </u>
Using the first term of the sequence (0, 40) you get:
P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀
Then, P₀ = 40
<u> 2) r</u>
Take two consecutive terms of the sequence:
- P(1) / P(0) = 40r / 40 = 62/40
You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55
<u>3) Model</u>
Thus, your model is P(x) = 40(1.55)ˣ
<u> 4) Population of moose after 12 years</u>
- P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
Answer:
Step-by-step explanation:
by theorem :
f continu in [1 , 2]
f(1)×f(2) < 0 because : f(1) = -1 and f(2) = 15
so the equation f(x)=0 has at least one real root between x=1 and x=2
so :
Answer: 100
Step-by-step explanation:
Given : The total number of seats planned in new restaurant =134
The percentage of customers demand a smoke-free area = 62%
It can also be written as 
The mean of this binomial distribution will be :-
Standard deviation:-
Now, the number of seats should be in the non-smoking area in order to be very sure of having enough seating there :-
Answer:
d = 24
Step-by-step explanation:
The area of a circle is given by A = π * r²
We are told the area of the clock is 144π.
Let's clear the formula for the radius:
r² = A / π
r² = 144π / π
r² = 144
r = √144
r = 12
The diameter is two times the radius, d = 2r = 2*12 = 24.
