Two separate bacteria populations grow each month and are represented by the functions f(x) = 3x and g(x) = 7x + 6. In what mont
h is the f(x) population greater than the g(x) population? Month 1 Month 2 Month 3 Month 4
2 answers:
Answer:
The answer is Never.
Step-by-step explanation:
In order to determine the month, we have to graph both functions and then we have to determine the intercept point of the functions. With this information, for any "x" value greater than
, one of both function will be greater that the other.
I have attached an image that shows the graph of both functions, where:
Red line:
Blue line:
As we see in the image, the intercept happens in the negative range of "x". Also we can see that the population of g(x) is always greater than f(x) for .
Therefore, never the f(x) population will be greater than g(x) population.
You might be interested in
Answer:
THE CORN IS YUMMY
Step-by-step explanation:
Understanding the question:
Raj encoded a secret phrase using matrix multiplication. For that he first converted each letter in that phrase to integers using the following codes:
A=1,B=2,C=3,D=4,E=5,F=6,G=7,H=8,I=9,J=10,K=11,L=12,M=13,N=14,O=15,P=16,Q=17,R=18,S=19,T=20,U=21,V=22,W=23,X=24,Y=25,Z=26
We suppose that Raj had a matrix X formed by letters of that phrase encoded in integers/numbers. And he multiplied that matrix X with matrix C to get an encoded matrix, let us say 'encoded X'.
Where; C =
and encoded X =
What we need now is X.
<u>Raj got from the phrase to encoded matrix by:</u>
1. Encoding each letter into numbers and forming a matrix X.
2. Multiplying that matrix with another Matrix C to obtain the given encoded matrix.
<u>To find the secret phrase we will reverse the steps as:</u>
1. Multiplying the encoded matrix by 'Inverse of Matrix C' to get matrix X.
2. Converting the elements of X into alphabets.
Inverse of C = (Adjoint of C)/Determinant(C)
Adjoint of =
Determinant of C = |C| = ad - bc = 2*2 - 5*1 = -1
Inverse of C = / (-1)
=
Multiplying Inverse(C) and encoded X =
=
Converting these elements back to alphabets, we get:
=
Hence, it is obvious that the secret phrase is "THECORNISYUMMY"
The location of spaces are between every word ( THE CORN IS YUMMY).
Answer:
12
Step-by-step explanation:
Because this is a 45 angle triangle we can assume the other side is also a 45 angle. Which means that CD=AD.