You can either use the usual formula for the equation of a line when given two points 
Or we can make some more precise reasoning, specific to this case: the y intercept is 3. When a line is written as 
, the coefficient q is the y intercept. So, the second and third options are surely wrong.
Moreover, the slope m is the ratio between the difference bewteen the y coordinates and the x coordinates of two points on the line.
In our case, the two points differ by -1 units vertically, and 3 units horizontally. This implies that the slope is -1/3.
So, we have
I hate school guys that's all I want to say
Step-by-step explanation:
so, just by getting into the taxi we have to pay R10.
that leaves us 22 - 10 = R12 for the actual trip.
30 cents per kilometer.
so, how many units of 30 cents are there in R12 ? that is the number of kilometers we can go.
R12 = 1200 cent (right ?)
1200 / 30 = 120 / 3 = 40
so, we can travel 40 kilometers for that money.
We see that we have some nasty sqrt signs
try to use x values that yield perfect squares inside the sqrt sign like 1,4,9,16, or ones that make the inside 0
first one
y=-4+√(x+2)
try some nice values for ease of graphing
ok so try x=-2
y=-4
(-2,-4)
x=-1
y=-3
(-1,-3)
x=-1
y=-3
(-1,-2)
if x=7
y=-1
(7,-1)
if x=14
y=0
(14,0)
so we have
(-2,-4)
(-1,-3)
(2,-2)
(7,-1)
(14,0)
second one
y=2+√(x+1)
if x=-1
y=2
(-1,2)
if x=0
y=3
(0,3)
if x=3
y=4
(3,4)
if x=8
y=5
(8,5)
we have
(0,3)
(-1,2)
(3,4)
(8,5)
first one
y=-4+√(x+2)
so we have
(-2,-4)
(-1,-3)
(2,-2)
(7,-1)
(14,0)
second one
y=2+√(x+1)
(0,3)
(-1,2)
(3,4)
(8,5)
A. 8 feet * 0.9 = distance after first bounce
h(n) = 8 * 0.9^n
b. 8 * 0.9^14 = 1.83 feet to 2 d.p.
1.83 * 12 = 21.96 inches
