A parallel line must have the same slope. The only one it can be is A
Answer:
12 _3/4
Step-by-step explanation:
3/4 + 1/2 + 2 = 3_1/4
16 cups in a gallon
16-3_1/4
=12_3/4
The <em>correct answer</em> is:
6 balloons.
Explanation:
Let x represent the number of balloons purchased.
We will call the function for Clowns R Fun c(x):
c(x) = 1.25x+6
We will call the function for Singing Balloons s(x):
s(x) = 1.95x+2
We want the amount for Clowns R Fun, c(x) to be less:
c(x) < s(x)
1.25x+6 < 1.95x+2
Subtract 1.25x from each side:
1.25x+6-1.25x < 1.95x+2-1.25x
6 < 0.7x+2
Subtract 2 from each side:
6-2 < 0.7x+2-2
4 < 0.7x
Divide each side by 0.7:
4/0.7 < 0.7x/0.7
5.7 < x
x > 5.7
She must buy more than 5.7 balloons; the next integer up is 6. She must buy 6 or more balloons.
Answer:
The average rate of change from x=0 to x=1 for f(x) is 0.
Step-by-step explanation:
We are given the function 
.
Now, the rate average rate of change of a function from 
to 
is given by 
.
As, we need the rate of change from x = 0 to x = 1.
So, we will find the values of f(0) and f(1).
i.e. 
i.e. f(0) = 3
and 
i.e. 
i.e. f(1) = 3
Thus, the rate of change from x=0 to x=1 is 
i.e. 
i.e. 0
Hence, the average rate of change from x=0 to x=1 for f(x) is 0.
