Answer:
y - 3= 2(x - 0)
Step-by-step explanation:
hello :
note 1 :
the point-slope formula is :
y - y_1 = m(x - x_1) the point is A(x_1 , y_1 ) , m : the slope
note 2 :
the slope is : m = (y_2 - y_1)/(x_2 -x_1) when given two points :
A(x_1 , y_1 ) and B(x_2 , y_2 )
in this exercice : x_1 =0 y_1 =3 x_2 =1 y_2 =1
calculate now m = (1 - 3)/(1 -0) =-2
an equation in point-slope form is : y - y_1 = m(x - x_1)
y - 3= 2(x - 0)
Answer:
or
Step-by-step explanation:
We are going to see if the exponential curve is of the form:
, (
).
If you are given the 
intercept, then 
is easy to find.
It is just the coordinate of the intercept is your value for .
(Why? The intercept happens when 
. Replacing 
with 0 gives 
. This says when 
.)
So 
.
So our function so far looks like this:
Now to find 
we need another point. We have two more points. So we will find using one of them and verify for our resulting equation works for the other.
Let's do this.
We are given 
is a point on our curve.
So when 
, 
.
Divide both sides by 8:
Reduce the fraction:
So the equation if it works out for the other point given is:
Let's try it. So the last point given that we need to satisfy is 
.
This says when 
, 
.
Let's replace with 2 and see what we get for 
:
So we are good. We have found an equation satisfying all 3 points given.
The equation is .
Answer:
24
Step-by-step explanation:
if 12 cars are half of his collection, his entire collection is 12(2) which equals 24
In distributive property, the answer would be 12(5 + 4j).
