Answer:
Yes if [3,5] is a set of integers then it contains elements 3,4,5
As Closed bracket denotes that extreme points are also included and 4 is mid element in between 3 and 5
Step-by-step explanation:
x. | y
1 | -4
2 | 0
3 | 4
Is this correct?
Answer:
4x + 8y = 17
Solve for y.
You want to get y on one side of the equal sign by itself so... you subtract 4x from both sides to get:
8y = -4x + 17
Then you divide both sides by 8 to get:
y= -4x/8 +17/8
Then simplify the fractions to get:
y = -2x/4 + 17/8
Step-by-step explanation:
The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:
The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.
Answer:
27 hours
Step-by-step explanation:
Equation of population P(t) = –1710t^2+ 92,000t + 10,000
Find the derivative of the function to find the critical value
dP/dt = -2(1710)t + 92000
= -3420t + 92000
Find the critical value by equating dP/dt = 0
-3420t + 92000 = 0
92000 = 3420t
t = 92000/3420 = 26.90
Check if it really have max value through 2nd derivative
d(dP)/dt^2 = -3420
2nd derivative is negative, hence it has maximum value
So, the time when it is maximum is 26.9 or 27 hours
Answer:
495 combinations of 4 students can be selected.
Step-by-step explanation:
The order of the students in the sample is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
How many combination of random samples of 4 students can be selected?
4 from a set of 12. So
495 combinations of 4 students can be selected.