Answer: 2000 tickets were sold
Step-by-step explanation:
8000 divided by 40 percent is 200
Answer:
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Step-by-step explanation:
In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.
Given function is:

Taking first derivative

Now the first derivative has to be put equal to zero to find the critical value

The function has only one critical value which is 5.
Taking 2nd derivative


As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5
The value can be found out by putting x=5 in the function

Hence,
<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>
Hence,
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
g(x) = 4x + 2
Step-by-step explanation:
f(x) = x + 2
f(4x) = 4x + 2
Answer:
31.5 hours
Step-by-step explanation:
time * speed = distance
speed=400/6=66.67 miles per hour
2100/(400/6)=31.5 hours
Step-by-step explanation:
Ounces of water = 56 - 14 = 42 ounces
Ratio of sugar to water
56 : 42
8 : 6
4 : 3