Answer:
3h - 30 > 0
h > 10
Step-by-step explanation:
To make a profit, subtract $36 in cost from the income coming in.
She charges $6 and then $3 per hour or 3h. Her income coming in is 6 + 3h.
Subtract 36 from it to find the profit.
3h + 6 - 36
3h - 30
To make a profit, she needs to make more than $0 or > 0.
3h - 30 > 0
Solve using inverse operations.
3h - 30 > 0
3h > 30
h > 10
The discontinuity occurs at x = 0, since that is the only "problem" place in the graph that makes the function undefined. A vertical asymptote exists there. It is nonremoveable.
Answer:
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
20% of adults in the United States save nothing for retirement (CNBC website).
This means that 
Suppose that sixteen adults in the United States are selected randomly.
This means that 
What is the probability that three or less of the selected adults have saved nothing for retirement?
This is:

In which






0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Step 1: Read and understand the problem statement.
You are given (time, depth) pairs of (20 s, 8 cm) and (40 s, 0 cm) and asked to write an equation that describes the relationship of depth (y) to time (x).
The rate of change is (0 cm -8 cm)/(40 s -20 s) = -8 cm/(20 s) = -2/5 cm/s. Then in point-slope form using the second point, the linear function rule is
y = (-2/5)(x -40) +0
You can expand this to
y = (-2/5)x +16
y = -0.4x +16 . . . . . . using a decimal number for the slope
_____
If the bathtubs in your "draining race" start with the same level, the one with the steepest slope (-0.5 cm/s) will win.
Answer: Second option.
Step-by-step explanation:
Given the functions f(x) and g(x):

You need to divide them in order to find
asked in the exercise. Then:

Now, it is important to remember that, by definition, the division by zero is not defined. Therefore, the denominator of the function cannot be zero.
Let's find the value of "x" for which the denominator of the function would be zero:
1. You need to make the denominator equal to zero:

2. Finally, you must solve for "x":

Therefore, as you can see, the answer is:
, 