To get the clear view about the domain and the range of the function, I have plotted the graph of the given function, it is showed in the attachment.
From the graph we can conclude that:
The domain is all real numbers. That is:
(-∞,∞)
The range is all positive real values. That is:
[0,∞)
b] Explanation:
As the values of x increases, the value of h(x) also increase.
Answer:
364 groups of 11 players can be created
Step-by-step explanation:
The order in which the players are selected 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.
In this question:
Teams of 11 players from sets of 14. So
364 groups of 11 players can be created
<h3>There are 76 nickels in jar</h3>
<em><u>Solution:</u></em>
Let "d" be the number of dimes
Let "n" be the number of quarters
1 dime = $ 0.10
1 nickel = $ 0.05
There are 140 coins in the jar
Therefore,
d + n = 140
n = 140 - d ------- eqn 1
Lee has $10.20 in a jar that contains only nickels and dimes
Therefore,
0.1d + 0.05n = 10.20 -------- eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
0.1d + 0.05( 140 - d) = 10.20
0.1d + 7 - 0.05d = 10.20
0.05d = 3.2
Divide both sides by 0.05
d = 64
<em><u>Substitute d = 64 in eqn 1</u></em>
n = 140 - 64
n = 76
Thus there are 76 nickels in jar
Hey there! I don't see a number set here, so instead I will do my best to explain what each is and how to find it.
Mean - This is the average of all of the numbers. To find the mean, add up all of the numbers. Then, divide that sum by the number of values you added up.
Median - This is the middle number in your set of data. It is not influenced by outliers, like the mean. Repeat values do count, and you have to use all of your data values, including those repeats, to find an accurate median. To find the median, put all your data values in order from smallest to largest. Begin by crossing out one number on each side (2 total each time) until you get to a middle one or two numbers. If you have one number remaining, then that is your median. If you have two numbers remaining, add those numbers together and divide by 2.
Mode - This is the number, or numbers, that appear the most. For example, if the number 4 appears 10 times in a data set, but the number 2 appears only 4 times, then number 4 is the mode (if the data set is made up of only 4's and 2's). To find the mode, look for the number that appears more often than the rest. Count up the number of times each number occurs and find the one with the highest number of occurrences. That is your mode.
Range - This is the span of your data set. To find the range, subtract the smallest number in your data set from the largest number in your data set. It should look like this: maximum - minimum = range.
Hope this helps!! :)
