P=12T
Q=66T
-----------
Toys added to each bag:
P=12T+nT
Q=66T+nT
Therefore, 66T+nT=3(12T+nT)
------------
66T+nT=36T+3nT
T(66+n)=T(36+3n)
66+n=36+3n
3n-n=66-36
2n=30
Therefore, n=30/2=15
-------------
*She added 15 toys to each bag.
Answer:
The base is 8 ft and the height is 6 ft.
Step-by-step explanation:
If the height of the triangle is x feet its base = 2x - 4 feet.
So the area of the triangle
= 1/2 * base * height
= 1/2 * (2x - 4) * x = 24
(x - 2) * x = 24
x^2 - 2x - 24 = 0
(x - 6)(x + 4) = 0
x = 6, -4 As x is the height it must be 6 feet.
The base = 2x - 4 = 2(6) - 4 = 8 feet.
Answer:
I don't believe there is enough information to answer the question.
Step-by-step explanation:
Either Mr. Cooper buys two 4 for 19$ specials for 38$ and has two left over, or he buys one special and then buys two individual fried chicken meals. The question does not tell us how much an individual chicken meal costs.
1.
has a horizontal asymptote at 
This means that

(for at least one of these limits)
2.
has a vertical asymptote at 
This means that
has a non-removable discontinuity at
. Since
is some rational function, there must be a factor of
in its denominator.
3.
has an
-intercept at (1, 0)
This means
.
(a) With

the second point above suggests
. The first point tells us that

In order for the limit to be 0, the denominator's degree should exceed the numerator's degree; the only way for this to happen is if
so that the linear terms vanish.
The third point tells us that

So

(b) Since

we find that
, and
and
.