Answer:
Step-by-step explanation:
We are required to represent the expression given in the standard form to the quadratic form
Given
let us square the given expression
f(x)=(x+3)(x+3)
open brackets
sum the similar terms
(fog)(x)= f(g(x))=f(2)= 2
Answer:
x = 2, -2, -1/5
Step-by-step explanation:
g(x)= 5x^3+x^2-20x-4
g(x)= x^2(5x+1)-4(5x+1)
g(x)=(x^2-4)(5x+1)
g(x)=(x-2)(x+2)(5x+1)
x-2=0
x= 2
x+2=0
x= -2
5x+1=0
x= -1/5
Answer:
3.1%, dependent event
Step-by-step explanation:
We have that vowel are 5, it is from A, E, I, O, U therefore the probability of drawing a vowel is:
5/26
since there are a total of 26 options to choose from. Then, when selecting that, we are left with 25 options and 4 vowels, therefore the probability would be:
4/25
Therefore the final probability is:
5/26 * (4/25) = 0.031
In other words, selecting a vowel and then another (without replacement) the probability is 3.1%
The events are dependent, since the first event affects the second event, since the number of vowels and the number of total options are reduced.
Step-by-step explanation:
The vertex is the point (-4, 7).
