Answer:
x= -11/4 is a maximum.
Step-by-step explanation:
Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that
And then we get that if 
then 
. So it has a critical point at .
Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.
Since
x= -11/4 is a maximum.
The answer is 5x + 10 because you have to times 5 by everything in the parenteses
Based on the ratio, 6 students play musical instruments.
The mentioned problem can be solved using the concept of ratio and proportion. We will equate the two ratio. Let us assume the number of students who play musical instruments be x.
Forming the equation -
3 : 20 = x : 40
Rewriting the equation with respect to x
x = (40 × 3) ÷ 20
Performing multiplication and division on Right Hand Side of the equation
x = 120 ÷ 20
Performing division on Right Hand Side of the equation
x = 6
Therefore, 6 students play musical instruments.
Learn more about ratio and proportion -
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If c^2 > a^2 + b^2 then the triangle is obtuse.
If c^2 < a^2 + b^2 then the triangle is acute.
If c^2 = a^2 + b^2 then the triangle is a right triangle.
13. 7^2 __ 3^2 + 6^2
49 ___ 9 + 36
49 > 47 obtuse
14. 12^2 __ 4^2 + 11^2
144 ___ 16 + 121
144 > 137 obtuse
15. 26^2 ___ 24^2 + 10^2
676 ___ 576 + 100
676 = 676 right triangle
16. 15^2 ___ 12^2 + 9^2
225 ___ 144 + 81
225 = 225 right triangle
17. 31^2 __ 30^2 + 10^2
961 ___ 900 + 100
961 < 1000 acute triangle
18. 12^2 ___ 7^2 + 7^2
144 ___ 49 + 49
144 ___ 98
144 > 98 obtuse
