Answer: Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.
Step-by-step explanation:
Answer: You have to find the unit rate so you divide 7.50 by 3 which is 2.50 so for 1 pound it is 2.50, 2 pounds is 5, 3 pounds is 7.50, 4 pounds is 10, and 5 pounds is 12.50
Step-by-step explanation:
Answer:
A. 3x + 3h + 8, B. Tx + Th - 3
Step-by-step explanation:
f(x+h) =3(x+h) + 8
=3x + 3h + 8
f(x+h) = T(x+h) - 3
= Tx + Th - 3
This is what is known as a derangement - an arrangement in which none of the objects maintain their original position.
For example, with the numbers, 1234, in how many ways can they be arranged so that 1 is NOT in first position, 2 is NOT in second position, etc.
Of the 24 possible permutations of four numbers, there are nine possible derangements:
<span><span>2143 2341 2413
3142 3412 3421
4123 4312 4321</span>
So, the probability that no one gets their own trumpet is
9 out of 24 = 3/8 answer is A
Source:
http://www.1728.org/derange.htm
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If I understood coorectly, you're looking for the fourth root of 81. This exercise can be solved by remembering that extracting the fourth root of a number is the same as raising that number to the power of 1/4.
We also need the prime factorization of 81, which is
So, the fourth root of 81 is 81 raised to the power of 1/4, which means
![\sqrt[4]{81} = \sqrt[4]{3^4} = (3^4)^{\frac{1}{4}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B81%7D%20%3D%20%5Csqrt%5B4%5D%7B3%5E4%7D%20%3D%20%283%5E4%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20)
Now, use the property of exponents 
to convert the expression into
