Answer/Step-by-step explanation:
a. Using two points on the line (0, 2) and (4, 12), find the gradient:
Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5
Gradient = 2.5
b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.
i.e. 2.5 litres per second
c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.
e^x=170
because you subtract like terms (or add, it depends) then simplify (im bad at explaining)
1. It's in point-slope form right now
y - 7 = -x - 4
x + y = 3
2. Find the slope through (y2-y1) / (x2-x1)
The slope is 3.
Use the point slope formula: y - 9 = 3 (x - 8)
y - 9 = 3x - 24
y = 3x - 15
3. a. standard form
b. point-slope
c. slope-intercept
d. standard
5. Use point-slope: y - 8 = 6 (x - 3)
y - 8 = 6x - 18
-6x + y = -10
1/4³ or 1/64
1/4² or 1/16
1/2³ + 3 or 3 1/8 or 3.125
1/2²+3 or 1/4 +3 or 3 1/4 or 3.25
1/2¹ +3 or 3 1/2 or 3.5
Step-by-step explanation:
Putting value of w
(8)2 - 4(8) - 2
64 - 32 - 2
32 - 2
30
