Answer:
There is no value of x to fit this requirement.
Step-by-step explanation:
The 2 perimeters in terms of x are:
4(x + 3) for the square and
2(x+1) + 2(x +4) for the rectangle
and these need to be equal so
we equate these 2 and solve for x:
4(x + 3) = 2(x+1) + 2(x +4)
4x + 12 = 2x + 2 + 2x + 8
4x + 12 = 4x + 10
4x - 4x = 10 - 12
0 = -2 which is of course absurd so there is no solution to this equation.
Answer:
Domain: {-2, -3, 6, 8, 10}
Range: {-5, 1, 7, 9}
Step-by-step explanation:
Given:
{(6, -5), (-2, 9), (-3, 1), (10, 7), (8, 9)}
✔️Domain:
This includes all the set of the x-values that are in the relation. This includes, 6, -2, -3, 10, and 8.
Thus, the domain can be represented as:
{-2, -3, 6, 8, 10}
✔️Range:
This includes all corresponding y-values in the relation. They are, -5, 1, 7, and 9.
Range can be represented as:
{-5, 1, 7, 9}
Answer:
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
Step-by-step explanation:
Given a function y, the average rate of change S of y=f(x) in an interval 
will be given by the following equation:
In this problem, we have that:
Find the average rate of change in the balance over the interval t = 0 to t = 5.
Then
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
If the test gives a positive result for an infected person 98% of the time, that means that 2% of the time, it gives a negative result for an infected person, which would be a false negative.
If the test is 97% accurate for non-infected people, that means that it gives a negative result 97% of the time. So a positive result will be given 3% of the time for non-infected people, which is a false positive.
