A Pascal triangle is the triangular way of expanding a binomial. So the best way in expanding that function is thru Binomial Theorem and the expanded for of it is 8x^3+48x^2+98x+64
Answer:1157.53
Step-by-step explanation:
Equation: 4×pi×r squared
Radius is half of diameter so 19.2÷2=9.6
4×3.14×9.6squared=1157.53
Answer:
58p+15
Step-by-step explanation:
First, we want to get rid of the parentheses in the equation. To do that, let's start with 7(1+10p). We multiply 7 by each item in the parenthesis, and get 7+70p. Keep that little thing in mind, we will use it later. Next, same process with the other part, and we get 8+48p. We multiplied both parts out, so now we just add like terms. 7 and 8 don't have letters, so we add them to get 15. 10p and 48p do have letters, so we add those together and get 58p. We can't add that to the other numbers, because 58p is 58 times p, and 15 doesn't have that p so it wouldn't work without knowing p. What we are left with, by simplifying the problem, is 58p+15, or 15+58p. The order doesn't matter, as long as you have that answer.
She can have 13 mornings before running out of orange juice.
The first thing we are going to do in this case is to rewrite the expression.
We have then:
x ^ 3 + 4x ^ 2 + x - 6
Factoring the expression we have:
(x-1) * (x + 2) * (x + 3)
Therefore, we observe that the following binomial is a common factor:
(x + 2)
Answer:
B. x plus 2
