Step-by-step explanation:
4t-2k+5k-t
=3t -3k
= 3( t-k)
Answer:
+1, -1, +11, -11
probably written with a +- symbol:
+-1, +-11
Maybe (silly) written like fractions:
+- 1/1, +- 11/1
Step-by-step explanation:
First list the factors of the leading coefficient. Here its 1. So we're going to use positive and negatives of the factors of 1, which is just +/- 1 . These numbers are going to go on the bottom of a fraction.
Next look for the factors of the constant, here it's 11
So that gives us
+/- 1, +/- 11 . These will go on the top of a fraction. (A fraction is a rational expression, that's why the name)
Then make all the combinations of
factors of constant
OVER
factors of leadingcoeff
So, we find
+/- 1, +/- 11
Answer:
Nov 20, 2016 · If we assume that initially Number of red counter is 1 Number of blue counter is 3 Now to make ratio reverse you need to add 8 more red counters so that ratio becomes 9:3=3:1
Step-by-step explanation:
6=24x
hope this helped :)
tell me if u need anymore help
Answer:
A
Step-by-step explanation:
This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.
g + t + k = 90
g + 2t - k = 55
-g - t + 3k = 30
Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.
g + t + k = 90
-g - t + 3k = 30
____________
0 + 0 + 4k = 120
4k = 120
k = 30
No you can plug this into the first two equations
g + t + (30) = 90
g + t = 60
and
g + 2t - (30) = 55
g + 2t = 85
now use elimination again by multiplying the first equation by -1
g + 2t = 85
-g - t = -60
_________
0 + t = 25
t = 25
Now plug those both back into one of the equations. I'll just do the first one.
g + (25) + (30) = 90
g = 35
Therefore, we know that Ted spent the least amount of time on the computer.
The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.
