Answer:
distributive property of multiplication over addition
Step-by-step explanation:
The distributive property of multiplication over addition:
a(b + c) = ab + ac
You have
-4(x + 4) = -4x - 16
which is an application of that property.
Answer: distributive property of multiplication over addition
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:
Option A
Step-by-step explanation:
Slope of a line passing through two points 
and 
is given by,
Slope = 
Line shown in the graph is passing through two points (2, 8000) and (4, 7000).
Therefore, slope of the given line = 
= -500 feet per mile
Which means, altitude decreases by 500 ft every mile.
(Negative sign represents the decrease)
Option A is the correct option.
I hope this helps you
volume of sphere =4/3.pi.r^3
