(x+3)^4=(x+3)^2)^2=(x^2+6x+9)^2=x^4+36x^2+81+12x^3+108x
Answer:
Numbers of pitchers of lemonade = 8
Step-by-step explanation:
Given as
Amount of lemonade concentration =
of a cup
Now,
of a cup of concentration mix with
of water
So,
-
=
of cup of lemonade,
∴ The number of small pitcher of lemonade = 
= 4 × 2 = 8 Answer
Answer:
50 girls
Step-by-step explanation:
Given data
We have the ratio as
7:10
The total part = 7+10= 17
let the number of boys and girls be x
applying the part to all method
7/17= 35/x
cross multiply
7x= 35*17
7x=595
x=595/7
x= 85
Hence the number of girls is
=85-35
=50 girls
Answer:
- geometric sequence with initial value 20 and common ratio 1/2
- average rate of change on [1, 3] = -7.5
Step-by-step explanation:
(a) The given points have sequential values of x and values of y that are each 1/2 the value before. The common ratio tells us the sequence is a geometric sequence.
(b) The first given point is (2, 10), so extrapolating backward, we determine the previous point to be ...
... (2-1, 10/(1/2)) = (1, 20)
Thus, we have enough information to determine the average slope between n=1 and n=3.
... (difference in y)/(difference in n) = (5 -20)/(3 -1) = -15/2 = -7.5