Answer:
e = 6
Step-by-step explanation:
Step 1: Write equation
-2(8 - e) = 2 - e
Step 2: Solve for <em>e</em>
- Distribute -2: -16 + 2e = 2 - e
- Add e to both sides: -16 + 3e = 2
- Add 16 to both sides: 3e = 18
- Divide both sides by 3: e = 6
Step 3: Check
<em>Plug in e to verify it's a solution.</em>
-2(8 - 6) = 2 - 6
-2(2) = -4
-4 = -4
So find rate
rate=degress in x minutes
rate=140 in 70 minutes
ratiosis 140 to 70
if you wanted to find degrees per minute so you could multiply then do
degreees/1 minute=140/70=14/7=2/1=2 degrees per minute
28 minute times 2 degrees per minute=56 degrees
another way is
140/70=xdegrees/28
solve for x
multipl yboth sies by 28 and simplify
3920/70=x=56
answer is 56 degrees
Answer:
D. 16 times.
Step-by-step explanation:
Volume of a cylinder = π r^2 h
π r^2 h = 432
Now if the diameter is reduced by 1/4 then the radius is reduced by a fourth also.
Let the new height be H, then:
432 = π (r/4)^2 H
so π r^2 h = π(r/4)^2 H
r^2 h = r^2 H / 16
h = H/16
H = 16h.
X=-5 a vertical line only has an X intercept
Think of the equation of a linear function:
Recall y = mx + b for vertical shifts, we just add or subtract from 'b' and that will move the line up or down accordingly.. However, for horizontal shifts, we will need to add or subtract from 'x'. Note that the slope or 'm' stays the same for each type of shift.
Now that we know how the shifts occur, we might consider a different form of the equation for a linear function: y = a(x - h) + k here the 'a' is just our slope, 'k' is our original y intercept, and 'h' will represent the amount of horizontal shift.
So to get the desired transformations of a horizontal shift to the left of 8 and a vertical shift of down 3 from our original function y = x, we can make the following changes: y = (x + 8) - 3 Now you might be confused with how we got the 'x + 8'.. Let's consider values of 'h'. For positive values of h, the result will be a shift to the right and for negative values of h the result will be a shift to the left. So since we want a shift to the left we need to use a '-8' and when we substitute that into our new form, y = (x - h) + k you can see the sign change.
Now we can simplify of course and get the final equation: y = x + 5 or in function form f(x) = x + 5
