It issssssss D) x = 0 I got ya
Answer:
f(x)=9^(x)
Plugging in m+n+p=x, we have
f(m+n+p) = 9^(m+n+p)
Using the properties of exponential a^(b+c) = a^b*a^c, we have
f(m+n+p) = 9^(m)*9^(n)*9^(p)
f(m+n+p) = f(m)*f(n)*f(p)
Answer:
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Step-by-step explanation:
Just to add a bit more information, "Elimination" Can have a variety of other interpretations. Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.' Do not worry if you have not heard of these terms. They are used in Linear Algebra when referring to "Elimination techniques"
Gaussian Elimination
Gauss-Jordan Elimination
LU-Decomposition
QR-Decomposition
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Substitution is the preferred method for 2 equations in 2 unknowns. The constants are unimportant other than having a non-zero determinant. It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:
Example:
4X + 5Y = 9
5X - 4Y = 1
Notice that 20 is a LCM of either the X or Y variable. So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)
4(4X + 5Y = 9)
5(5X - 4Y = 1)
Multiplying to produce the LCM factors:
16X + 20Y = 36
25X - 20Y = 5
Adding the equations
41X = 41
X = 1
Substitution into either equation yields
Y = 1
Elimination techniques are preferred for Rank-n>3
Answer:
666.4 dollars per day
Step-by-step explanation:
Total milk farmer has is 490 gallons
He keeps 1/35 of 490 gallons
so he keeps = 1/35*490= 14 gallons
He sells remaining milk.
Remaining milk = 490-14 = 476 gallons
1 gallon = 4 quart (conversion formula)
so 476 gallon = 4 * 476 = 1904 quart
selling price of 1 quart = 35 cents = 0.35 dollars
so selling price of 1904 quart = 0.35*1904 = 666.4 dollars
So he makes 666.4 dollars per day.
Answer:
14 x 14 = 196
10 x 14 x 1/2(basically just dividing by 2) = 70
70 x 4(four sides of triangles) = 280
Now let's add the areas together:
196 + 280 = 476 cm^2 is your answer.
