Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Step-by-step explanation: The given system of linear equations is :
We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.
The determinant of the co-efficient matrix is given by
Now, from equations (ii) and (iii), we have
Substituting the value of y and z from equations (iv) and (v) in equation (i), we get
From equations (iv) and (v), we get
Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Depends how many times pink is on the spinner you put the number of pink spaces there is at the top out of seven for example a fraction 3/7
The prime factorization of 18 is: 2 x 3 x 3.
The prime factorization of 45 is: 3 x 3 x 5.
The prime factors and multiplicities 18 and 45 have in common are: 3 x 3.
3 x 3 is the gcf of 18 and 45.
gcf(18,45) = 9.
The regression line will be y = 20.64 - 0.3038x.
<h3>How to explain the regression?</h3>
It should be noted that regression is a statistical method that determine the relationship between the variables.
Here, the regression line will be y = 20.64 - 0.3038x. The slope coefficient is -0.03038 and the intercept is 20.460.
The slope coefficient defines that for a unit increase in the percentage of vacancy rate will reduce 0.3038 unit of monthly office rent.
Learn more about regression on:
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E = 7
F = 8
G = 1
First find a number that multiplies by 4 to make a number ending in 2. The options are either 3 or 8.
Try the full multiplication with both 3 and 8 and see which one works.
Using 3 works up until you try and work out E as E would have to be a two digit number for it to work so therefore the answer to F must be 8.
Hope this helped.
