A) We can first start with the how: our equation is 2x+y=3. First, subtract 2x from each side. We get y=-2x+3. Our Y variable is isolated.
B) Now we can describe which points our equation goes through. One of them is obvious in our form, and that is (0,3) or our y-intercept. Another 2 would be branching off that line, such as (1,1) or (-1,5)
C) To make our system inconsistent, we can easily make another equation, with same slope, but the y-intercept has to be different. Our equation can be y=-2x+2, y=-2x+4, or even y=-2x+3.00000001.
Hope this helps you.
Chang has a 50% probability of getting the white shirt and tan pants
Answer:
The scale factor is 3.
Step-by-step explanation:
Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).
Therefore, the distance OA is given by 
units.
Again, the coordinates of point A' are (1,-2).
Therefore, the distance OA' is given by 
units.
Hence, the scale factor is 
. (Answer)
Answer:
y = -2x^2 -4x +5
Step-by-step explanation:
The vertex is at (-1,7) and the y intercept is at (0,5)
The vertex form of a parabola is
y = a(x-h)^2 +k
where (h,k) is the vertex
y = a(x--1)^2 +7
Then substitute the point into the equation
y = a(x+1)^2 +7
5 = a(0+1)^2 +7 +7
Subtract 7 from each side
5-7 = a(1)^2
-2 = a
y = -2(x+1)^2 +7
Now FOIL
y = -2 (x^2 +2x+1) +7
Then distribute
y = -2x^2 -4x-2 +7
y = -2x^2 -4x +5
Answer:
Step-by-step explanation:
The answer is 2.11 cups because 100 ml is equal to 0.42 so if you add 0.42 five times then you get 2.11 cups
