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.
the answer to your question is c. -25
First question:
1. Set equations equal to each other so 5x-9=2x+6
2. Put x's on one side so that 3x=15
3. Divide by 3 so that x=15
4. Substitute 15 in for x so that y=2(15)+6
5. Solve for y so that y=36
6. Thus the equations intersect at (15,36)
Second question:
1. Since for lines y=mx+b, and m=slope=3 you only need to write an equation with slope 3
2. y=3x+b, b can be any number
The quadratic regression equation for the stream of water is 
{parabola}
Given that the water stream produced by fountain is parabola
Vertex of parabola is (6,5) , parbola is facing downward,axis of symmetry of parabola is x=6 and parabola passes through (0,0)
according to symmetry the third point on the parabola is (12,0)
General equation for a parabola⇒ Y=-4a
⇒(y-5)=-4a
{ as the Vertex of parabola is (6,5) }
⇒(y-5)=-4a(
)
subtituting (0,0) in the equation to get the value of a
⇒-5=-4a(36)
⇒ a=
equation of parabola⇒(y-5)=-4( 
)
Therefore,The quadratic regression equation for the stream of water is
Learn more about parabola here:
brainly.com/question/21685473
#SPJ4
Answer:
See Explanation
Step-by-step explanation:
<u>Define the variables</u>
Let the entry fee be c and the hourly rate be m
Let the number of hours be x and the total amount be y
<u>Work to solve</u>
For Sami's skate
and 
For Brad's skate
and 
<u>The equations</u>
The equation is derived using: 
For Sami's skate
For Brad's skate
<u>When the cost are the same</u>
To do this, we equate both expressions
i.e.
i.e. the cost are the same at the 4th hour
<u>What is the cost</u>
Substitute 4 for x in any of the equations
<em>The cost is $14.00</em>
