Let the attendees in opposition be x. This means that the attendees in favour are x+6.
That means x+x+6=42, which is 2x+6=42, so 2x=36 and x=18. Therefore, there are 18 attendees who opposed it.
Answer:
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Step-by-step explanation:
In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.
Given function is:
Taking first derivative
Now the first derivative has to be put equal to zero to find the critical value
The function has only one critical value which is 5.
Taking 2nd derivative
As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5
The value can be found out by putting x=5 in the function
Hence,
<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>
Hence,
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Answer:
1. y ≥ 100
2. y ≤ 300
3. y ≥ 20000
4. 2y ≥ 80
5. 2y ≤ 90
Step-by-step explanation:
Let y be the variable.
1. The discount is not less than 100.
If the discount (i.e y) is not less than 100, it means it is either 100 or greater than 100.
This can be written as:
y ≥ 100
2. The cost of the book is at most 300.
This implies that the cost of the book (i.e y) is either 300 or lesser.
This can be written as:
y ≤ 300
3. His monthly income is at least 20000. This simply means that his monthly income (i.e y) is 20000 or greater than 20000.
This can be written as:
y ≥ 20000
4. Twice the number is at least 80.
Let the number be y.
Twice the number y can be written as:
2y
But twice the number is at least 80.
This means that twice the number is 80 or greater than 80. This can be written as:
2y ≥ 80
5. Twice the measure of the acute angle is not more than 90 degree.
Let the angle be y.
Twice the angle can be written as:
2y
But twice the measure of the angle is not more than 90 degree. This implies that twice the angle is 90 or lesser than 90. This can be written as:
2y ≤ 90
Center is at (0, 0) and make sure you label it on the diagram
Radius is 5 units
Equation of circle is
(X-0)^2 + (y-0)^2 = 5^2
X^2 + y^2 = 25
