You want to open a checking account at your local bank which offers two options. A standard checking account charges $6 each month plus $.25 for each check written. A select checking account charges $4.50 each month plus $.50 for each check written. Which system of equations can be used to determine the number x of checks that must be written in a month in order for the total charges y for the two checking accounts to be the same?

The total charges for the two checking accounts will be the same after 6 checks written.

Step-by-step explanation:

Since I want to open a checking account at my local bank which offers two options, a standard checking account that charges $ 6 each month plus $ 0.25 for each check written, and a select checking account that charges $ 4.50 each month plus $ 0.50 for each check written, to determine which system of equations can be used to determine the number X of checks that must be written in a month in order for the total charges Y for the two checking accounts to be the same, the following calculation must be performed:

6 + 0.25X = Y

4.5 + 0.5X = Y

6 + 0.25x5 = Y

4.5 + 0.5x5 = Y

6 + 1.25 = Y = 7.25

4.5 + 2.50 = 7

6 + 0.25x6 = Y

4.5 + 0.5x6 = Y

6 + 1.50 = Y = 7.50

4.5 + 3 = 7.50

Therefore, the total charges for the two checking accounts will be the same after 6 checks written.

the size of the resulting matrix is 1-by-3.

step-by-step explanation:

the size of the two matrices given are as follows:

no .of rows of matrix 1 = 1

no .of columns of matrix 1 = 3

no .of rows of matrix 1 = 3

no .of columns of matrix 1 = 3

to find the size of the resulting matrix without actually solving the multiplication of the matrix, this is what you do:

if resulting matrix = matrix 1 * matrix 2

no. of rows of the resulting matrix = number of rows of matrix 1

no. of columns of resulting matrix = number of columns of matrix 2

note: the order of the matrices matter!

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.