Answer:
Step-by-step explanation:
Dont forget to apply THE LAW OF INDICES!!
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If the average of x and y is 11 and the average of x, and y z is 5 what is the value of z
1 answer:
If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
Given,
The average of x and y = 11
We know average = Sum of the terms / Number of terms
Then, the equation will become
x+y =11×2
x+y =22
Average of x, y and z = 5
x+y+z = 5×3
x+y+z =15
Substitute the value of x+y
22+z=15
z =15-22
x = -7
Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
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The graph of the given system of inequalities can be seen at the end of the answer.
<h3 /><h3>How to get the graph of the system of inequalities?</h3>Here we have the system of inequalities:
x + 3y > -3
y < 2x + 1
first, we can write both of these in the form of a line equation in the slope-intercept form.
y > (-3 - x)/3 = -1 - (1/3)*x
y < 2x + 1.
To graph this, we first need to draw the two lines as dashed lines (because the points on the lines are not solutions).
Then for the line:
y = -(1/3)*x - 1 we need to shade the region above the line (because the symbol > is used).
For the line:
y = 2x + 1
We need to shade the region below the line, because the symbol used is <.
Then the graph of the system of inequalities is the one you can see below. The solutions of the system are the ones where the two shaded regions intercept.
If you want to learn more about systems of inequalities:
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Answer with explanation:
Number of Distinct Letters in English Alphabet = 26 Capital +26 Small
=52 Alphabets
Total Number of Distinct digits in number system = {0,1,2,3,4,5,6,7,8,9}=10
Account Number of Customers for a certain Company =3 Letters +2 Numbers
Out of 52 Alphabets , 3 Letters can be Chosen in
ways, since Order of arranging of three alphabets is Important.
Similarly, out of 10 Digits , 2 numbers can be chosen in
ways, since Order of arranging of three alphabets is Important.
Total Number of Possible Account number