Answer:
Step-by-step explanation:
let the amount spent on popcorn be x and amount spent on drinks be y
If the total bill paid is $17.94, then x+y = $17.94
If she spend twice as much on popcorn as on drinks, then y = 2x
Substitute y = 2x into the original equation
x+y = $17.94
x + 2x = $17.94
3x = $17.94
x = $17.94/3
x = $5.98
Since y = 2x
y = 2($5.98)
y = $11.96
Therefore she spent $5.98 on popcorn and $11.96 on drinks
Answer:
Surface area = 4 π r2 square units
Step-by-step explanation:
Answer:
The equation of the new function is 
Step-by-step explanation:
Suppose we have a function f(x).
a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.
f(x - a) is shifting f(x) a units to the right.
f(x + a) is shifting f(x) a units to the left
In this question:

Vertically compressing by 1/2:
This is the same as multiplying the function by 1/2. So

The equation of the new function is 
Answer:
32
Step-by-step explanation:
The equation
and the graph below describe the velocity V in feet per second of a ball <em>t</em> seconds after it is shot into the air.
To find the balls velocity after seven seconds, substitute t = 7 into the function expression:
