Answer:x > -3
Step-by-step explanation:
Answer:
<u>Properties that are present are </u>
Property I
Property IV
Step-by-step explanation:
The function given is
where b > 1
Let's take a function, for example, 
Let's check the conditions:
I. As the x-values increase, the y-values increase.
Let's put some values:
y = 2 ^ 1
y = 2
and
y = 2 ^ 2
y = 4
So this is TRUE.
II. The point (1,0) exists in the table.
Let's put 1 into x and see if it gives us 0
y = 2 ^ 1
y = 2
So this is FALSE.
III. As the x-value increase, the y-value decrease.
We have already seen that as x increase, y also increase in part I.
So this is FALSE.
IV. as the x value decrease the y values decrease approaching a singular value.
THe exponential function of this form NEVER goes to 0 and is NEVER negative. So as x decreases, y also decrease and approached a value (that is 0) but never becomes 0.
This is TRUE.
Option I and Option IV are true.
Answer:
we are given with two terms: 20 k and 50. In this case, we are asked in the problem to factor the two terms forming the expression. The common factor of 20k and 50 is 10 because the two terms are divisible by it. The answer hence is 10*(2k +5)
Step-by-step explanation:
Answer:
a) Median stays the same
b) Mean is decreased by $9
Step-by-step explanation:
The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,
Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.
When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,
679, 715, 799, 844, 891, 917, 938, 946, 1002
Here also median will be the 5th number which will be equal to 891.
Therefore, , median will not change.
Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.
In the initial case,
Mean =
When the salary is changed from $1027 to $946,
Mean=
Therefor we can see that Mean has decreased by $9.
A scale of 8cm:12cm would be a scale of 2/3. since this is the case, we can divide the scale drawing of the playground by the scale factor to get the length of the actual playground
12.4/0.6666 = 18.6
The answer is 18.6