Answer:
Step-by-step explanation:
Match the terms to their definition.
1 .
the determinant found when column 1 consists of the constants and column 2 consists of the y-coefficients of a linear system
3
coefficient
2 .
the form Ax + By = C of a linear equation, where A, B, and C are integers
4
determinant
3 .
the constant preceding the variables in a product
6
matrix
4 .
the value of: (row 1, column 1)(row 2 column 2) - (row 1, column 2)(row 2, column 1) in a 2 by 2 matrix
2
determinant form
5 .
the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system
7
system determinant
6 .
a rectangular array made up of rows and columns
1
x-determinant
7 .
the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system
5
y-determinant
X(x + 7) = 540
x ^2 + 7x - 540 = 0
x ( x + 27) - 20(x + 27) = 0
X - 20 = 0
X = 20
20 and 27
That sentence in math terms means: x = 0.75 * 18
0.75 * 18 = 13.5
13.5 years
Answer:
Step-by-step explanation:
given data:
number to be chosen from = 1,2,3,4.
<u><em>Solution:</em></u>
ways the number can show
ways for your number to appear once.
ways for your number to appear twice.
ways for your number not to appear at all
expected return of the player is
A geometric series is written as , where is the first term of the series and is the common ratio.
In other words, to compute the next term in the series you have to multiply the previous one by .
Since we know that the first time is 6 (but we don't know the common ratio), the first terms are
.
Let's use the other information, since the last term is , we know that , otherwise the terms would be bigger and bigger.
The information about the sum tells us that
We have a formula to compute the sum of the powers of a certain variable, namely
So, the equation becomes
The only integer solution to this expression is .
If you want to check the result, we have
and the last term is