Answer and Step-by-step explanation:
Let x and y be two positive integers and their sum is 14:
X + y = 14
And the sum of square of this number is:
f = x2 + y2
= x2+ (14 – x)2
Differentiate with respect to x, we get:
F’(x) = [ x2 + (14 – x)2]’ = 0
2x + 2(14-x)(-1) = 0
2x +( 28 – 2x)(-1) = 0
2x – 28 +2x = 0
2x + 2x = 28
4x = 28
X = 7
Hence, y = 14 – x = 14 -7 = 7
Now taking second derivative test:
F”(x) > 0
For x = y = 7,f reaches its maximum value:
(7)2 + (7)2 = 49 + 49
= 98
F at endpoints x Є [ 0, 14]
F(0) = 02 + (14 – 0)2
= 196
F(14) = (14)2 + (14 – 14)2
= 196
Hence the sum of squares of these numbers is minimum when x = y = 7
And maximum when numbers are 0 and 14.
Answer:
yhyhyhyh rashford gonna score a hat trick vs spurs
Step-by-step explanation:
Answer:
The points that intercepts are (4,4) that's what I got. I hope that helps you.
Answer
From the construction that James is doing the
next step that he should take would be: Use the
circumcenter to determine the center of the
circle.
How to construct a circle from a triangle
In order to construct a circle for the triangle, one
would have to find the perpendicular bisector of
all sides of the triangle.
From the established circumcenter, a pair of
compass would be used to contruct the circle.
<span>8(3x + 6) + 13---expand using distributive property
=24x + 48+13 ...combine like terms
=24x +61....simplify
answer is C.24x + 61
hope it helps</span>
