We know that
(ad)/(bd)=d/d time a/b=a/b since d's cancel
also
if a/b=c/d in simplest form, then a=c and b=d
we have
p/(x^2-5x+6)=(x+4)/(x-2)
therefor
p/(x^2-5x+6)=d/d times (x+4)/(x-2)
p/(x^2-5x+6)=d(x+4)/d(x-2)
therefor
p=d(x+4) and
x^2-5x+6=d(x-2)
we can solve last one
factor
(x-6)(x+1)=d(x-2)
divide both sides by (x-2)
[(x-6)(x+1)]/(x-2)=d
sub
p=d(x+4)
p=([(x-6)(x+1)]/(x-2))(x+4)
Answer:
The function that best models the given data is;
B. h(t) = -6.73·t² + 14.19·t + 0.83
Step-by-step explanation:
The data in the given table is presented as follows

Where;
Time, t(s) is the independent variable
Height, h(m) is the dependent variable
Therefore, we have;
When t = 0, h = 1.0
From the given functions, we have the following table of the result of the function generated with Microsoft Excel

By comparison, the function that nest models the given data is the function 'B', given as follows;
h(t) = -6.73·t² + 14.19·t + 0.83.
Answer:
The given expression is simplified as 
Step-by-step explanation:
Here, the given expression is:

Now, with ALGEBRAIC IDENTITIES:

Now, similarly: 
Now, substituting the values in the given expression, we get:

Hence, the given expression 
Answer:
infinite number of solutions
Step-by-step explanation:
x+y=1
3y=-3x+3 ⇒ y=-x+1 ⇒ y+x=1
both equations are the same, so they have infinite number of solutions