Answer:
If is the amount of salt in the tank at time , then the rate at which the amount of salt in the tank changes is given by
Let's drop the units for now. We have
We're given that the water is pure at the start, so , giving
So the amount of salt in the tank (in lbs) at time is
Step-by-step explanation:
The scale factor is some number between 0 and 1 (not including either endpoint) because the image is smaller than the preimage.
Triangle ABC is the preimage, or the "before"; while triangle A'B'C' is the image, which is the "after".
preimage ----> image
before ----> after
Answer:
Step-by-step explanation:
-2x2-12x-15
Final result :
-2x2 - 12x - 15
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((0 - 2x2) - 12x) - 15
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
-2x2 - 12x - 15 = -1 • (2x2 + 12x + 15)
Trying to factor by splitting the middle term
3.2 Factoring 2x2 + 12x + 15
Find the slope for the two lines and state that they are equal (condition for parallel lines)
Slope of line AB
[y2 - y1] / [x2 - x1]
Slope of line CD
[y4 - y3] / [x4 - x3]
Condition
[y2 - y1] / [x2 - x1] = [y4 - y3] / [x4 - x3]
